Journal articles on the topic 'Stato unitario'
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1
Catelani, Alessandro. "Sovranismo: Il Mito dell’Europa unita, da Carlo Magno ad Altiero Spinelli." Società e diritti 6, no. 12 (February 14, 2022): 236–45. http://dx.doi.org/10.54103/2531-6710/17351.
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Il mito dell’Europa unita è durato dalla caduta di Roma fino ai giorni nostri; ma di una vera unità europea si può parlare solo per il periodo carolingio, perché successivamente si sono formati gli Stati nazionali. La moderna ideologia mira a costruire uno Stato unitario per tutti i popoli d’Europa; ma ciascun popolo ha diritto ad una propria autodeterminazione e identità culturale, ed una fusione coattiva verrebbe a ledere i diritti fondamentali delle collettività nazionali.
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Bianchi, Paola. "Rileggere la storia d'Italia: canoni storiografici e canone nazionale." SOCIETÀ E STORIA, no. 173 (November 2021): 605–16. http://dx.doi.org/10.3280/ss2021-173014.
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Questa rassegna discute, da tre diverse prospettive L'Italia come storia, a cura di Francesco Benigno e Igor Mineo. Il volume tratta, con una periodizzazione ampia, i principali snodi attraverso i quali la storiografia ha tematizzato, sia in termini positivi sia negativi il tema dell'eccezione, attraverso cui è stata interpretata la storia d'Italia. Paola Bianchi ripercorre alcuni nodi emersi nella frammentazione crescente delle ricerche sulla storia italiana, con particolare attenzione agli studi che hanno indagato l'età moderna. Fino a un passato non troppo remoto, le diverse definizioni del "canone nazionale" sono state declinate in relazione al raggiungimento dello Stato unitario e adottando il presupposto di una primigenia matrice culturale. Interrogarsi su tali canoni porta a misurarsi con i vari significati che sono stati attribuiti alla "modernità", alla "modernizzazione" e alla condivisione o meno di un "canone europeo". Tutte questioni non meno aperte e ricche di implicazioni nel presente.
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Di Michele, Vittorio, Francesca Bolino, Gabriella Di Zio, and Paola Pincini. "Symptoms and social functioning features in chronic schizophrenia are aggregate in a tripartite structure." Epidemiologia e Psichiatria Sociale 10, no. 3 (September 2001): 186–93. http://dx.doi.org/10.1017/s1121189x00005315.
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RIASSUNTOScopo – Verificare l'esistenza di correlazioni fra sintomatologia schizofrenica e variabili multidimensionali del funzionamento sociale e se tali correlazioni possano condurre ad una precisazione classificativa orientata sull'esito attraverso una metodica empirica. Disegno – Quaranta pazienti affetti da schizofrenia cronica con diagnosi accertata clinicamente e attraverso criteri diagnostici sono stati arruolati. Setting – I pazienti erano in carico ad un Centro di Salute Mentale ed erano in fase stabilizzata di malattia definita con criteri operativi. Principali misure utilizzate – Per la valutazione psicopatologica è stata utilizzata la Positive And Negative Syndrome Scale e la Clinical Global Impression. Il funzionamento sociale è stato valutato con la Life Skills Profile e la Scala di Valutazione del Funzionamento Globale. Risultati – Esiste una correlazione fra variabili sintomatologiche e psicosociali che suggerisce un costrutto unitario. A tali variabili soggiaciono 2 fattori principali in grado di spiegare il 79% della varianza che consentono di differenziare il campione in tre gruppi sulla base della Cluster analysis. Sia i sintomi positivi che negativi risultano embricati con alcune aspetti del funzionamento sociale, ma non con tutti. Conclusioni – I sintomi e le variabili psicosociali dei pazienti si aggregano in una struttura omogenea tripartitica. Tale dato suggerisce l'esistenza, nell'ambito di un concetto unitario, di una differenziazione sindromica derivabile con criteri empirici e orientata prognosticamente.
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Azzariti, Gaetano. "Il liberalismo autoritario e la costruzione dello Stato unitario italiano. Vittorio Emanuele Orlando, un liberale al servizio dello Stato." DEMOCRAZIA E DIRITTO, no. 1 (December 2011): 117–34. http://dx.doi.org/10.3280/ded02011-001008.
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Glueckert, Leopold G. "Il clero a Perugia durante l'episcopato di Gioacchino Pecci (1846-1878). Tra Stato Pontificio e Stato Unitario by Maria Lupi." Catholic Historical Review 85, no. 4 (1999): 642–43. http://dx.doi.org/10.1353/cat.1999.0192.
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Crialesi, Silvia. "Roma capitale del regno d'Italia: l'inserimento dei ministeri negli organismi conventuali." STORIA URBANA, no. 132 (February 2012): 271–95. http://dx.doi.org/10.3280/su2011-132010.
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La vicenda dell'uso dei complessi conventuali romani, quali sedi di ministeri ed uffici governativi per la nuova capitale del Regno d'Italia, si inserisce nel piů vasto quadro del riuso degli immobili appartenenti agli enti religiosi soppressi dopo l'unificazione ed č un esempio della complessa situazione determinatasi a Roma dopo il 20 settembre 1870. I problemi che si affrontano in questa fase, inoltre, costituiscono un passaggio significativo nel lungo e travagliato processo di costituzione dell'ordinamento di tutela dei beni artistici del nuovo stato unitario, sia a livello centrale sia periferico.
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Giugni, Marco G. "FEDERALISMO E MOVIMENTI SOCIALI." Italian Political Science Review/Rivista Italiana di Scienza Politica 26, no. 1 (April 1996): 147–70. http://dx.doi.org/10.1017/s0048840200024060.
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L'idea di un'Italia federale è entrata nel dibattito pubblico nel corso degli ultimi anni. Una delle cause principali di questa avanzata è certamente l'ascesa della Lega, che del federalismo ha fatto il suo credo fondamentale. Recentemente, l'idea di trasformare l'Italia da paese centralizzato e unitario (non dimentichiamo comunque il relativo decentramento avvenuto a partire dagli anni settanta attraverso il rafforzamento delle regioni) a stato federale si è fatta strada in seno a molti partiti, tanto che nessuna forza politica sembra oggi opporsi in modo deciso a tale progetto di decentralizzazione territoriale e amministrativa del paese.
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Cicerchia, Andrea. "El archivo del Santo Oficio a los ojos de la República romana del 1849." Revista de fontes 5, no. 9 (January 23, 2019): 70–97. http://dx.doi.org/10.34024/fontes.2018.v5.9141.
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El presente artículo nace de un episodio ocurrido con los papeles del archivo de la Inquisición romana durante un momento de gran importancia para la historia del proceso unitario italiano: la República romana del 1849. A partir del análisis de una minuta de inventario producida por los órganos civiles republicanos y que se conserva en el Archivio di Stato de Roma este trabajo reconstruye la estructura fi sica del archivo inquisitorial, así como su manera de organizar papeles a la mitad del siglo XIX, un momento en que las otras inquisiciones modernas, ya abolidas, vivian entre mito e historia.
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de Stefani, Lorenzo. ""Devesi parlare al popolo". Toponomastica risorgimentale e lapidi commemorative nel dibattito in consiglio comunale a Milano, 1859-1878." STORIA URBANA, no. 132 (February 2012): 53–81. http://dx.doi.org/10.3280/su2011-132003.
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Il saggio affronta il tema della toponomastica come strumento di rafforzamento del sentimento nazionale dopo l'annessione di Milano al regno di Sardegna e successivamente allo stato italiano. Sono stati presi in considerazione i dibattiti in seno al Consiglio comunale circa il valore evocativo della titolazione delle strade ai principali simboli del Risorgimento nazionale e ai personaggi eccellenti nel campo delle lettere, delle arti, delle scienze, con particolare riferimento a quelli, nati a Milano o qui provvisoriamente residenti in qualche tempo, che hanno influenzato la vita civile, artistica e letteraria della cittŕ. L'operazione di "costruzione della memoria" lega insieme la necessitŕ di razionalizzare e modernizzare la cittŕ che si apprestava a diventare la "capitale morale" dello stato unitario (come confermato nella legislazione comunale e provinciale del 1865) con la preoccupazione di tenere vive le memorie locali, da far convivere in armonia con l'azione di costruzione della nazione dal punto di vista della lingua e delle memorie collettive. Ciň si unisce alla determinazione di celebrare i principali eventi della storia civile affiggendo lapidi come sintesi di un compendio della storia locale da offrire per la costruzione del popolo.
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Elorza, Antonio. "Spagna, nazione di nazioni." MONDO CONTEMPORANEO, no. 3 (April 2011): 137–58. http://dx.doi.org/10.3280/mon2010-003006.
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La Spagna non č uno Stato unitario come la Francia, né uno Stato plurinazionale come furono la Jugoslavia e l'Austria-Ungheria nel passato. L'identitŕ spagnola nasce nel Medioevo e trova le sue prime radici nelle reazioni all'invasione araba del 711, quando i vinti presero coscienza della «Spaniae ruina». Secoli dopo, l'unione delle corone nata con i Re Cattolici rafforzň le basi per quella identitŕ, sotto una «monarchia di aggregazione» che si sviluppň in parallelo con la Francia, senza che scomparissero altre identitŕ, come quelle della Catalogna e delle province basche. Ma la Rivoluzione francese cancellň le unitŕ amministrative dell'Antico regime ed il processo di nazionalizzazione si sviluppň senza difficoltŕ fino al primo Novecento, mentre l'arretratezza economica fece sorgere le condizioni di una crisi dello Stato-nazione. Allo stesso tempo il fatto che la Catalogna e la Biscaglia fossero le avanguardie del processo d'industrializzazione favorě la dinamica centrifuga delle, dopo che la disfatta del 1898 nella guerra contro gli Stati Uniti e la fine dell'impero coloniale avevano creato l'immagine della Spagna come di un "paese moribondo". La modernizzazione degli anni Sessanta del Novecento poté essere il fondamento di una nuova Spagna, ma le "nazionalitŕ storiche" (la Catalogna ed il Paese basco in primo luogo) erano giŕ realtŕ senza ritorno ed il nazionalismodella dittatura di Franco fece delle rivendicazioni nazionaliste un diritto democratico. Infine, con la Costituzione del 1978 č nato lo Stato delle autonomie, che consacra lo sviluppo autonomo delle "nazionalitŕ" intorno all'asse centrale della "nazione" spagnola. Ecco perché "nazione di nazioni" diventa un'espressione adeguata ad una convergenza come quella spagnola di processi di, senza che i conflitti fra unitŕ ed indipendentismo siano ancora oggi arrivati a un punto di equilibrio.
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Batanov, Olexandr. "Axioconceptosphere of modern unitarism in Ukraine." Yearly journal of scientific articles “Pravova derzhava”, no. 32 (2021): 191–202. http://dx.doi.org/10.33663/0869-2491-2021-32-191-202.
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The conceptual problems of the formation of the national doctrine of unitarism are covered. Recognizing the fact that the most multifaceted and complex problem is the establishment of the optimal form of government in Ukraine, it is proposed to introduce a separate vector in national constitutional science and education. In spite of the fact that in the field of political and legal science in general and modern constitutionalism, the issue of unitarism is quite actively discussed by scholars, scientists, politicians and public figures, the scientific knowledge in this field remains extremely controversial and fragmentary. Analyzing the complex of essential and substantive characteristics of unitarism as a phenomenon of modern constitutional law, outlines perspective directions of development of the unitarian doctrine. The synergistic connection between the theory of modern unitarism, the principles of unitarity of the state territory and the fundamental institutions of political-legal and state-administrative life of modern unitary states is shown. It proves that the unitary system is not only one of the important components of the process of achieving the tasks, goals and functions of most modern states, but also an immanent feature and strategic element of the mechanism of exercising their sovereign rights. Considering that unitarism is a multidimensional socio-political and constitutional phenomenon: it is an idea, a theory, a scientific direction, and a global social and constitutional practice, and a constitutional form of the existence and functioning of territorial communities, and the historical state of national statehood and Ukrainian regional civilization, and the form of realization of national identity and citizenship, etc., concludes the relevance and necessity of forming a unitarist discourse in modern constitutional law science and education. In the opinion of the author, consistent conceptualization and institutionalization of the unitarist doctrine will allow us to understand the deep processes that determine the emergence of the phenomenon of national unitarism, testify to the enormous civilizational role and axiological, ontological, epistemological, functional and psycho-logical features in the course of its political structuring, formation of market economy relations, implementation of eco-humanistic national security and defence.
12
Guasch Borrat, José María. "TEDESCHI, M., Dalla Restaurazione al consolidamento dello stato unitario, 1 Vol. de 345 págs. Giuffrè Editore, Varese 1981." Ius Canonicum 22, no. 43 (March 14, 2018): 371–72. http://dx.doi.org/10.15581/016.22.20005.
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Casas, Santiago. "Maria LUPI, Il clero a Perugia durante l'episcopato di Gioacchino Pecci (1846-1878) tra stato pontificio e stato unitario, Herder («Italia Sacra», 57), Roma 1998, XX+582 pp." Anuario de Historia de la Iglesia 9 (May 3, 2018): 686. http://dx.doi.org/10.15581/007.9.25435.
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Stramaccioni, Alberto. "The Affairs of Italy. nei dibattiti parlamentari britannici (1848-1861)." IL RISORGIMENTO, no. 2 (November 2021): 79–111. http://dx.doi.org/10.3280/riso2021-002003.
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L'Autore ricostruisce il dibattito parlamentare tra whig e tory che si è sviluppato in Gran Bretagna nel corso delle vicende dell'unificazione italiana, tra il 1848 e il 1861. Attraverso i resoconti degli interventi, alla Camera dei Comuni e alla Camera dei Lord, di Palmerston, Russell, Gladstone e altri - secondo l'Autore - emergono le posizioni dei principali leader whig a sostegno della formazione di uno Stato nazionale unitario nella penisola, al centro del Mediterraneo e per questo obiettivo disposti anche a mettere in discussione gli equilibri europei stabiliti a Vienna nel 1815. Con gli interventi di Disraeli, Derby, Malmerbury e altri che condividono le posizioni della Corte vengono espresse le valutazioni dei tory, contrari al movimento patriottico italiano e attenti a mantenere, sia pure in funzione antifrancese, rapporti collaborativi con gli austriaci. Entrambi gli schieramenti, pur divisi in alcune fasi del percorso risorgimentale italiano, sembrano voler rappresentare due posizioni nettamente diverse ma finiscono invece con il perseguire una comune politica imperiale.
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Di Carlo, Fabio. "Prospettiva e rifugio nella pandemia, ovvero il paesaggio visto come uccelli." Ri-Vista. Research for landscape architecture 19, no. 1 (July 26, 2021): 50–63. http://dx.doi.org/10.36253/rv-10323.
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Se ogni attività progettuale presuppone un quadro di riferimento -stabile o di previsione e visione- nel quale inscrivere ogni prefigurazione, lo stato di conoscenze e mutazioni sul futuro post-pandemico non è chiaro, né lo sono le necessità e i processi utili per affrontarle. Anche rispetto al ruolo del progetto di paesaggio è possibile organizzare solo risposte parziali e transitorie, che sono forse più prese di coscienza che figurazioni, o che possono essere parte di un ragionamento che pone nuovi e diversi elementi di orientamento. Nella convinzione che questa fase non possa essere trattata né con strumenti consolidati, né con un processo unitario, questo scritto è volutamente frammentario. È quasi una raccolta non ordinata di riflessioni su alcuni aspetti che pongono in relazione il lavoro sul progetto di paesaggio con l’attuale condizione. Qui paesaggio e giardino sono visti come condizioni di prospettiva e rifugio, secondo la teoria di Jay Appleton sull’esperienza del paesaggio, che ci è utile come riferimento.
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O. V., Batanov. "The Doctrine of Modern Unitarism: Problems of Formation and Realization." Almanac of law: The role of legal doctrine in ensuring of human rights 11, no. 11 (August 2020): 33–42. http://dx.doi.org/10.33663/2524-017x-2020-11-6.
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The conceptual problems of the formation of the national doctrine of unitarism are covered. Recognizing the fact that the most multifaceted and complex problem is the establishment of the optimal form of government in Ukraine, it is proposed to introduce a separate vector in national constitutional science and education. In spite of the fact that in the field of political and legal science in general and modern constitutionalism, the issue of unitarism is quite actively discussed by scholars, scientists, politicians and public figures, the scientific knowledge in this field remains extremely controversial and fragmentary. Analyzing the complex of essential and substantive characteristics of unitarism as a phenomenon of modern constitutional law, outlines perspective directions of development of the unitarian doctrine. The synergistic connection between the theory of modern unitarism, the principles of unitarity of the state territory and the fundamental institutions of political-legal and state-administrative life of modern unitary states is shown. It proves that the unitary system is not only one of the important components of the process of achieving the tasks, goals and functions of most modern states, but also an immanent feature and strategic element of the mechanism of exercising their sovereign rights. Considering that unitarism is a multidimensional socio-political and constitutional phenomenon: it is an idea, a theory, a scientific direction, and a global social and constitutional practice, and a constitutional form of the existence and functioning of territorial communities, and the historical state of national statehood and Ukrainian regional civilization, and the form of realization of national identity and citizenship, etc., concludes the relevance and necessity of forming a unitarianist discourse in modern constitutional law science and education. In the opinion of the author, consistent conceptualization and institutionalization of the unitarianist doctrine will allow us to understand the deep processes that determine the emergence of the phenomenon of national unitarism, testify to the enormous civilizational role and axiological, ontological, epistemological, functional and psycho-logical features in the course of its political structuring, formation of market economy relations, implementation of eco-humanistic national security and defence. Keywords: unitarism, unitarian, territory, state, state system, unitary system, administrative and territorial system.
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MATELLI, ELISABETTA. "MUSICOTERAPIA E CATARSI IN TEOFRASTO." Bulletin of the Institute of Classical Studies 47, no. 1 (December 1, 2004): 153–74. http://dx.doi.org/10.1111/j.2041-5370.2004.tb00249.x.
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Abstract Si propone una nuova interpetazione di Teofrasto, Historia Plantarum IV. 11.1–9 dedicato alla descrizione di due tipologie di ance per aulo: il passo è stato messo a confronto con le esperienze pratiche di costruzione e uso di questo tipo di imboccatura ancora vive in zone grecaniche della Calabria, documentate da fotografie e da una registrazione dei suoni (accessibili nella pagina web http:www.unicatt.itdocentimatelli). Anche in altre opere Teofrasto si è occupato dell'aulo per descriverne gli effetti terapeutici e catartici. Si approfondiscono le questioni musicali implicate in tali testimonianze (tipo di strumento musicale, concetti di ‘genere’, ‘amonia’, ‘ritmo’), offrendo alcune esemplificazioni esecutive nella pagina web attraverso il suono dell'aulo (suonato dal M.stro C. Crucitti). Infine la nozione di ‘catarsi’ viene studiata all'interno della filosofia di Teofrasto, dove fisiologia umana, psicologia, poetica e musica sono teoreticamente collegate in un sistema unitario. Particolare importanza viene data al collegamento dell'idea di ‘entusiasmo’ a quella di ‘catarsi’, entrambe esperienze sia fisiologiche che psichiche, e al tempo stesso ‘poetiche’: una intima unione collega l'esperienza poetico/estetica alla condizione psico-fisica dell'individuo.
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Menicucci, Elisa. "Il primo Congresso Nazionale dei Ragionieri Italiani: volàno nello Stato unitario per la definizione dell'identità nazionale nella professione di ragioniere e nella disciplina della Ragioneria." CONTABILITÀ E CULTURA AZIENDALE, no. 2 (September 2014): 23–47. http://dx.doi.org/10.3280/cca2013-002003.
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Batanov, Oleksandr. "Comparative characteristics of unitarism and federalism: conceptual aspects of theory and practice." Law Review of Kyiv University of Law, no. 2 (August 10, 2020): 87–93. http://dx.doi.org/10.36695/2219-5521.2.2020.15.
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The aim of the article is a comparative legal study of the essential and substantial characteristics of unitarism and federalism asphenomena of modern constitutional law. The synergetic relationship between the doctrines of modern unitarism or federalism, theprinciples of unitarism or federalism of the state territory and the fundamental institutions of the political, legal and state-administrativelife of modern unitary and federal states is shown. It is proved that the state system is not only one of the important components of theprocess of achieving the tasks, goals and functions of modern states, but also an immanent sign and a strategic element of themechanism for the realization of their sovereign rights.Given the unitarity of the Ukrainian state, special emphasis is placed on the importance of the principles of unitarism in thefunctioning of the constitutional system of Ukraine. The complexity, importance and relatively widespread use of unitarity as a form ofgovernment is causing a lively and ever-growing scientific interest in it throughout the world. The unique ability of unitarism to takeinto account the specific features of a particular condition allows it to manifest itself in each case in a new way. That is why it is importantto analyze the mutual influence of unitary theory and practice, to explore and take into account the peculiarities of national unitarism.The problem of unitarism and the unitary form of the territorial structure of the state and the status of its constituents is one ofthe least studied in domestic constitutional law. Modern representatives of the science of constitutional law, as a rule, are limited to considerationof individual issues of the territory, in particular, the features of the territorial organization of state power and local selfgovernment,problems of state sovereignty, territorial integrity and inviolability, etc. To a large extent, a lack of study of the problemin contemporary Ukraine causes difficulties in understanding such interrelated but not identical phenomena as unitarism and unitarity,regionalism and regionalization, municipalism and municipalization, decentralization and deconcentration, etc. It should be noted thatin modern literature on issues of state territory, territorial organization of state power, and other issues of the status of territory, thecomp lex, multidimensional nature of unitarism as a constitutional category is not always taken into account.It is proved that unitarism and federalism are multidimensional socio-political and constitutional phenomena: these are ideas, andindependent theories and scientific directions, and global social and constitutional practices, and constitutional forms of existence andfunctioning of territorial collectives and regions, and the historical state of statehood, and forms of realization of national identity andcitizenship, etc.
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Batanov, Oleksandr. "Conceptual Problems of Modern Unitarianism." Law Review of Kyiv University of Law, no. 1 (April 15, 2020): 87–92. http://dx.doi.org/10.36695/2219-5521.1.2020.16.
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The aim of the article is to study the essential and substantial characteristics of unitarism as a phenomenon of modern constitutional law. The synergistic connection between the doctrine of modern unitarism, the principles of unitarity of the state territory and the fundamental institutions of political-legal and state-administrative life of modern unitary states is shown. It proves that the unitary system is not only one of the important components of the process of achieving the tasks, goals and functions of most modern states, but also an immanent feature and strategic element of the mechanism of exercising their sovereign rights.
The complexity, importance and relatively widespread use of unitarity as a form of government is causing a lively and ever-growing scientific interest in it throughout the world. The unique ability of Unitarianism to take into account the specific features of a particular condition allows it to manifest itself in each case in a new way. That is why it is important to analyze the mutual influence of unitary theory and practice, to explore and take into account the peculiarities of national unitarism.
The problem of unitarism and the unitary form of the territorial structure of the state and the status of its constituents is one of the least studied in domestic constitutional law. Modern representatives of the science of constitutional law, as a rule, are limited to consideration of individual issues of the territory, in particular, the features of the territorial organization of state power and local self-government, problems of state sovereignty, territorial integrity and inviolability, etc. To a large extent, a lack of study of the problem in contemporary Ukraine causes difficulties in understanding such interrelated but not identical phenomena as unitarism and unitarity, regionalism and regionalization, municipalism and municipalization, decentralization and deconcentration, etc. It should be noted that in modern literature on issues of state territory, territorial organization of state power, and other issues of the status of territory, the complex, multidimensional nature of unitarianism as a constitutional category is not always taken into account.
Unitarianism is proved to be a multidimensional socio-political and constitutional phenomenon: it is an idea, a theory, a scientific direction, and a global social and constitutional practice, and a constitutional form of the existence and functioning of territorial communities, and the historical state of national statehood and Ukrainian regional civilization. and the form of realization of national identity and citizenship, etc.
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Batanov, Oleksandr. "THE PARADIGM OF CONTEMPORARY UNITARISM IN UKRAINE: ISSUES OF FORMATION AND IMPLEMENTATION." Constitutional and legal academic studies, no. 2 (July 16, 2021): 78–89. http://dx.doi.org/10.24144/2663-5399.2020.2.09.
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Aim. The article aims to investigate the essential and content characteristics of unitarism as a phenomenon of contemporary constitutional law. The synergistic connection between the doctrine of modern unitarism, the principles of unitarity of the state territory and the fundamental institutions of political-legal and state-administrative life of modern unitary states is shown. It proves that the unitary system is not only one of the important components of the process of accomplishing the tasks, goals and functions of most modern states, but also an immanent feature and strategic element of the mechanism of exercising their sovereign rights.
Methods. The methodological basis encompasses philosophico-ideological, general scientific principles and approaches and special scientific methods of inquiry for constitutional and legal phenomena and processes. The philosophico-ideological basis of the study is the position of dialectics, on the basis of which the causes and factors of the evolution of unitarism are thoroughly investigated. In general, the research was conducted on the basis of a combination of ontological, epistemological and axiological analysis of contemporary unitarism.
Results. The complexity, importance and relatively widespread use of unitarity as a form of government is causing a lively and ever-growing scientific interest in it throughout the world. The unique capability of unitarism to take into account the specific features of a particular condition allows it to manifest itself in each case in a new way. That is why it is important to analyze the mutual influence of unitary theory and practice, to explore and take into account the peculiarities of national unitarism.
The problem of unitarism and the unitary form of the territorial structure of the state and the status of its constituents is one of the least studied in domestic constitutional law. Modern scholars studying constitutional law, as a rule, are limited to consideration of individual issues of the territory, in particular, the features of the territorial organization of state power and local self-government, problems of state sovereignty, territorial integrity and inviolability, etc. To a large extent, the problem has not been studied exhaustively in contemporary Ukraine which causes difficulties in understanding such interrelated but not identical phenomena as unitarism and unitarity, regionalism and regionalization, municipalism and municipalization, decentralization and deconcentration, etc. It should be noted that in modern literature related to problems of state territory, territorial organization of state power, and other issues of the status of territory, the complex, multidimensional nature of unitarism, as a constitutional category, is not always taken into account.
Conclusions. Unitarism is proved to be a multidimensional socio-political and constitutional phenomenon: it is an idea, a theory, a scientific direction as well as a global social constitutional practice and a constitutional form of the existence and functioning of territorial communities, it is the historical condition of national statehood and Ukrainian regional civilization and the form of realization of the national identity and civic consciousness, etc.
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Mammana, Maria Flavia, and Mario Pennisi. "Ricordo di Biagio Micale." Bullettin of the Gioenia Academy of Natural Sciences of Catania 52, no. 382 (December 22, 2019): O7—O16. http://dx.doi.org/10.35352/gioenia.v52i382.85.
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Il 20 febbraio 2018, a Catania, è mancato improvvisamente Biagio Micale, Professore ordinario di Matematiche complementari all’Università di Catania. Avrebbe compiuto 72 anni il 16 novembre 2018. È stato membro della Commissione Italiana per l’Insegnamento della Matematica e presidente della sezione Mathesis di Catania. Ha coordinato il Nucleo di Ricerca Didattica che opera presso il Dipartimento di Matematica e Informatica dell’Università di Catania. L’attività scientifica ha riguardato vari aspetti della matematica. In particolare nel periodo che va dagli studi post-laurea al 1986 ha indirizzato la ricerca principalmente verso questioni di fondamenti della matematica riguardanti soprattutto le algebre universali, in particolare gli \( \Omega \)-gruppi di Higgins, e i sistemi algebrici. A partire dal 1987 ha arontato temi di ricerca riguardati la Combinatorica, in modo particolare i \( t \)-design (sistemi di quadruple di Steiner, sistemi di terne e di quaterne orientate). Dal 1978 ha sviluppato un’ampia attività di ricerca riguardante tematiche di fondamenti della matematica e di didattica della matematica, con particolare riguardo per la geometria. Relativamente alla didattica della matematica, sviluppa una organica ricerca prevalentemente indirizzata su problemi riguardanti la didattica della geometria nelle scuole secondarie in relazione alle innovazioni contenute nei programmi di insegnamento in vigore o in via di sperimentazione. In modo particolare dà vita ad una serie di ricerche su problematiche didattiche legate allo sviluppo del tema sulle trasformazioni geometriche, avendo come obiettivo unitario quello di innestare e amalgamare tale tema con la tradizione “euclidea” dell’insegnamento della geometria nella nostra scuola.
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Ye.V., Zozulia, and Hanzha Ya. K. "UKRAINE AS A UNITARY STATE." Scientific journal Criminal and Executive System: Yesterday. Today. Tomorrow 2020, no. 2 (December 22, 2020): 103–11. http://dx.doi.org/10.32755/sjcriminal.2020.02.103.
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The article analyzes the concept of a unitary state, considers decentralization in unitary states, and studies the views of various scientists on the processes of decentralization in unitary states. The most optimal form of government for Ukraine is determined to be a unitary republic with an expanded list of delegated powers to the regions. Key words: decentralization, deconcentration, devolution, delegation, unitarity, unitary state.
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Wakakuwa, Eyuri, and Yoshifumi Nakata. "One-Shot Randomized and Nonrandomized Partial Decoupling." Communications in Mathematical Physics 386, no. 2 (July 16, 2021): 589–649. http://dx.doi.org/10.1007/s00220-021-04136-5.
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AbstractWe introduce a task that we call partial decoupling, in which a bipartite quantum state is transformed by a unitary operation on one of the two subsystems and then is subject to the action of a quantum channel. We assume that the subsystem is decomposed into a direct-sum-product form, which often appears in the context of quantum information theory. The unitary is chosen at random from the set of unitaries having a simple form under the decomposition. The goal of the task is to make the final state, for typical choices of the unitary, close to the averaged final state over the unitaries. We consider a one-shot scenario, and derive upper and lower bounds on the average distance between the two states. The bounds are represented simply in terms of smooth conditional entropies of quantum states involving the initial state, the channel and the decomposition. Thereby we provide generalizations of the one-shot decoupling theorem. The obtained result would lead to further development of the decoupling approaches in quantum information theory and fundamental physics.
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González Granda, Piedad. "El Poder Judicial en el marco del principio de unidad y del Estado de las Autonomías = The Judiciary within the framework of the principle of unity and the State of Autonomy." Revista Jurídica de la Universidad de León, no. 8 (July 26, 2021): 377. http://dx.doi.org/10.18002/rjule.v0i8.7089.
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<p> </p><p>La tradición del Poder Judicial está anclada en una estructura organizativa estatal unitaria, que la Constitución española (CE) modifica a través de un sistema de gran complejidad jurídica que supone la plasmación de la integración de un Poder Judicial unitario en el modelo de un Estado Autonómico o de las Autonomías. La coordinación entre los Títulos VI y VIII no ha estado exenta de problemas en ningún momento. El objeto del presente trabajo constituye un breve análisis<strong> </strong>del entramado constitucional del Poder Judicial y la pertinente clarificación en torno al principio de Unidad jurisdiccional, que -contrariamente a lo que a veces venos reflejado en artículos de opinión- no guarda relación directa con el diseño del Estado de las Autonomías, siendo otra la problemática de interés que suscita el modelo territorial autonómico: la debida interpretación de las limitaciones constitucionales afectantes al concepto de <em>Administración de Justicia</em>.</p><p> </p><p>The tradition of the Judicial Power is anchored in a unitary state organizational structure, which the Spanish Constitution (CE) modifies through a system of great legal complexity that implies the embodiment of the integration of a unitary Judicial Power in the model of an Autonomous State or of the Autonomies. Coordination between Titles VI and VIII has never been without its problems. The object of this paper is a brief analysis of the constitutional framework of the Judiciary and the pertinent clarification regarding the principle of jurisdictional unity, which -contrary to what we sometimes see reflected in opinion articles- is not directly related to the design of the State of the Autonomies, being another the problem of interest that the regional territorial model raises: the proper interpretation of the constitutional limitations affecting the concept of Administration of Justice.</p>
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Claeys, Pieter W., and Austen Lamacraft. "Emergent quantum state designs and biunitarity in dual-unitary circuit dynamics." Quantum 6 (June 15, 2022): 738. http://dx.doi.org/10.22331/q-2022-06-15-738.
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Recent works have investigated the emergence of a new kind of random matrix behaviour in unitary dynamics following a quantum quench. Starting from a time-evolved state, an ensemble of pure states supported on a small subsystem can be generated by performing projective measurements on the remainder of the system, leading to a projected ensemble. In chaotic quantum systems it was conjectured that such projected ensembles become indistinguishable from the uniform Haar-random ensemble and lead to a quantum state design. Exact results were recently presented by Ho and Choi [Phys. Rev. Lett. 128, 060601 (2022)] for the kicked Ising model at the self-dual point. We provide an alternative construction that can be extended to general chaotic dual-unitary circuits with solvable initial states and measurements, highlighting the role of the underlying dual-unitarity and further showing how dual-unitary circuit models exhibit both exact solvability and random matrix behaviour. Building on results from biunitary connections, we show how complex Hadamard matrices and unitary error bases both lead to solvable measurement schemes.
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Nakata, Yoshifumi, Christoph Hirche, Ciara Morgan, and Andreas Winter. "Decoupling with random diagonal unitaries." Quantum 1 (July 21, 2017): 18. http://dx.doi.org/10.22331/q-2017-07-21-18.
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We investigate decoupling, one of the most important primitives in quantum Shannon theory, by replacing the uniformly distributed random unitaries commonly used to achieve the protocol, with repeated applications of random unitaries diagonal in the Pauli-Z and -X bases. This strategy was recently shown to achieve an approximate unitary 2-design after a number of repetitions of the process, which implies that the strategy gradually achieves decoupling. Here, we prove that even fewer repetitions of the process achieve decoupling at the same rate as that with the uniform ones, showing that rather imprecise approximations of unitary 2-designs are sufficient for decoupling. We also briefly discuss efficient implementations of them and implications of our decoupling theorem to coherent state merging and relative thermalisation.
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LIN, HUAXIN. "UNITARIES IN A SIMPLE C*-ALGEBRA OF TRACIAL RANK ONE." International Journal of Mathematics 21, no. 10 (October 2010): 1267–81. http://dx.doi.org/10.1142/s0129167x10006446.
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Let A be a unital separable simple infinite dimensional C*-algebra with tracial rank not more than one and with the tracial state space T(A) and let U(A) be the unitary group of A. Suppose that u ∈ U0(A), the connected component of U(A) containing the identity. We show that, for any ϵ > 0, there exists a self-adjoint element h ∈ As.a such that [Formula: see text] We also study the problem when u can be approximated by unitaries in A with finite spectrum. Denote by CU(A) the closure of the subgroup of unitary group of U(A) generated by its commutators. It is known that CU(A) ⊂ U0(A). Denote by [Formula: see text] the affine function on T(A) defined by [Formula: see text]. We show that u can be approximated by unitaries in A with finite spectrum if and only if u ∈ CU(A) and [Formula: see text] for all n ≥ 1. Examples are given for which there are unitaries in CU(A) which cannot be approximated by unitaries with finite spectrum. Significantly these results are obtained in the absence of amenability.
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KULT, DAVID, and ERIK SJÖQVIST. "GEOMETRY OF DECOMPOSITION DEPENDENT EVOLUTIONS OF MIXED STATES." International Journal of Quantum Information 02, no. 02 (June 2004): 247–56. http://dx.doi.org/10.1142/s0219749904000250.
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We examine evolutions where each component of a given decomposition of a mixed quantal state evolves independently in a unitary fashion. The geometric phase and parallel transport conditions for this type of decomposition dependent evolution are delineated. We compare this geometric phase with those previously defined for unitarily evolving mixed states, and mixed state evolutions governed by completely positive maps.
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JACOBSON, TED. "BOUNDARY UNITARITY AND THE BLACK HOLE INFORMATION PARADOX." International Journal of Modern Physics D 22, no. 12 (October 2013): 1342002. http://dx.doi.org/10.1142/s0218271813420029.
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Both AdS/CFT duality and more general reasoning from quantum gravity point to a rich collection of boundary observables that always evolve unitarily. The physical quantum gravity states described by these observables must be solutions of the spatial diffeomorphism and Wheeler–De Witt constraints, which implies that the state space does not factorize into a tensor product of localized degrees of freedom. The "firewall" argument that unitarity of black hole S-matrix implies the presence of a highly excited quantum state near the horizon is based on such a factorization, hence is not applicable in quantum gravity. In fact, there appears to be no conflict between boundary unitarity and regularity of the event horizon.
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White, Alan R. "The Gribov legacy, gauge theories and the physical S-matrix." International Journal of Modern Physics A 31, no. 28n29 (October 19, 2016): 1645014. http://dx.doi.org/10.1142/s0217751x16450147.
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Reggeon unitarity and non-Abelian gauge field copies are focused on as two Gribov discoveries that, it is suggested, may ultimately be seen as the most significant and that could, in the far distant future, form the cornerstones of his legacy. The crucial role played by the Gribov ambiguity in the construction of gauge theory bound-state amplitudes via reggeon unitarity is described. It is suggested that the existence of a physical, unitary, S-Matrix in a gauge theory is a major requirement that could even determine the theory.
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Broda, Bogusław. "Unitary evolution to a state with a fixed mean number of particles." International Journal of Modern Physics A 35, no. 33 (November 20, 2020): 2050213. http://dx.doi.org/10.1142/s0217751x20502139.
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In the framework of finite-dimensional Fock space models, for a predefined fixed mean number of particles [Formula: see text], it is shown that there is a “large” multidimensional subspace [Formula: see text] of initial pure states, in the space [Formula: see text] of all pure states, unitarily evolving to a subspace [Formula: see text] of final pure states which yield [Formula: see text]. As an example, in particular it follows that the blackbody form of the mean number of particles [Formula: see text] does not by itself contradict unitarity of black hole evaporation.
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Stolyarov, V., O. Shinkaryuk, and V. Stolyarova. "Conceptual Рrovisions of Budget Federalism in the Unitary State Ukraine." Economic Herald of the Donbas, no. 4 (58) (2019): 106–10. http://dx.doi.org/10.12958/1817-3772-2019-4(58)-106-110.
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Gavreev, Maxim A., Evgeniy O. Kiktenko, Alena S. Mastiukova, and Aleksey K. Fedorov. "Suppressing Decoherence in Quantum State Transfer with Unitary Operations." Entropy 25, no. 1 (December 30, 2022): 67. http://dx.doi.org/10.3390/e25010067.
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Decoherence is the fundamental obstacle limiting the performance of quantum information processing devices. The problem of transmitting a quantum state (known or unknown) from one place to another is of great interest in this context. In this work, by following the recent theoretical proposal, we study an application of quantum state-dependent pre- and post-processing unitary operations for protecting the given (multi-qubit) quantum state against the effect of decoherence acting on all qubits. We observe the increase in the fidelity of the output quantum state both in a quantum emulation experiment, where all protecting unitaries are perfect, and in a real experiment with a cloud-accessible quantum processor, where protecting unitaries themselves are affected by the noise. We expect the considered approach to be useful for analyzing capabilities of quantum information processing devices in transmitting known quantum states. We also demonstrate the applicability of the developed approach for suppressing decoherence in the process of distributing a two-qubit state over remote physical qubits of a quantum processor.
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Pllaha, Tefjol, Narayanan Rengaswamy, Olav Tirkkonen, and Robert Calderbank. "Un-Weyl-ing the Clifford Hierarchy." Quantum 4 (December 11, 2020): 370. http://dx.doi.org/10.22331/q-2020-12-11-370.
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The teleportation model of quantum computation introduced by Gottesman and Chuang (1999) motivated the development of the Clifford hierarchy. Despite its intrinsic value for quantum computing, the widespread use of magic state distillation, which is closely related to this model, emphasizes the importance of comprehending the hierarchy. There is currently a limited understanding of the structure of this hierarchy, apart from the case of diagonal unitaries (Cui et al., 2017; Rengaswamy et al. 2019). We explore the structure of the second and third levels of the hierarchy, the first level being the ubiquitous Pauli group, via the Weyl (i.e., Pauli) expansion of unitaries at these levels. In particular, we characterize the support of the standard Clifford operations on the Pauli group. Since conjugation of a Pauli by a third level unitary produces traceless Hermitian Cliffords, we characterize their Pauli support as well. Semi-Clifford unitaries are known to have ancilla savings in the teleportation model, and we explore their Pauli support via symplectic transvections. Finally, we show that, up to multiplication by a Clifford, every third level unitary commutes with at least one Pauli matrix. This can be used inductively to show that, up to a multiplication by a Clifford, every third level unitary is supported on a maximal commutative subgroup of the Pauli group. Additionally, it can be easily seen that the latter implies the generalized semi-Clifford conjecture, proven by Beigi and Shor (2010). We discuss potential applications in quantum error correction and the design of flag gadgets.
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Low, Richard A. "Large deviation bounds for k -designs." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 465, no. 2111 (August 5, 2009): 3289–308. http://dx.doi.org/10.1098/rspa.2009.0232.
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We present a technique for de-randomizing large deviation bounds of functions on the unitary group. We replace the Haar measure with a pseudo-random distribution, a k -design. k -Designs have the first k moments equal to those of the Haar measure. The advantage of this is that (approximate) k -designs can be implemented efficiently, whereas Haar random unitaries cannot. We find large deviation bounds for unitaries chosen from a k -design and then illustrate this general technique with three applications. We first show that the von Neumann entropy of a pseudo-random state is almost maximal. Then we show that, if the dynamics of the universe produces a k -design, then suitably sized subsystems will be in the canonical state, as predicted by statistical mechanics. Finally we show that pseudo-random states are useless for measurement-based quantum computation.
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Idel, Martin, and Robert Konig. "On quantum additive Gaussian noise channels." Quantum Information and Computation 17, no. 3&4 (March 2017): 283–302. http://dx.doi.org/10.26421/qic17.3-4-6.
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We give necessary and sufficient conditions for a Gaussian quantum channel to have a dilation involving a passive, i.e., number-preserving unitary. We then establish a normal form of such channels: any passively dilatable channel is the result of applying passive unitaries to the input and output of a Gaussian additive channel. The latter combine the state of the system with that of the environment by means of a multi-mode beamsplitter.
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PARIS, MATTEO G. A. "UNITARY LOCAL INVARIANCE." International Journal of Quantum Information 03, no. 04 (December 2005): 655–59. http://dx.doi.org/10.1142/s0219749905001523.
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We address unitary local (UL) invariance of bipartite pure states. Given a bipartite state |Ψ〉〉 = ∑ij ψij |i〉1 ⊗ |j〉2 the complete characterization of the class of local unitaries U1 ⊗ U2 for which U1 ⊗ U2|Ψ〉〉 = |Ψ〉〉 is obtained. The two relevant parameters are the rank of the matrix Ψ, [Ψ]ij = ψij, and the number of its equal singular values, i.e. the degeneracy of the eigenvalues of the partial traces of |Ψ〉〉.
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Sopena, Alejandro, Max Hunter Gordon, Diego García-Martín, Germán Sierra, and Esperanza López. "Algebraic Bethe Circuits." Quantum 6 (September 8, 2022): 796. http://dx.doi.org/10.22331/q-2022-09-08-796.
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The Algebraic Bethe Ansatz (ABA) is a highly successful analytical method used to exactly solve several physical models in both statistical mechanics and condensed-matter physics. Here we bring the ABA into unitary form, for its direct implementation on a quantum computer. This is achieved by distilling the non-unitary R matrices that make up the ABA into unitaries using the QR decomposition. Our algorithm is deterministic and works for both real and complex roots of the Bethe equations. We illustrate our method on the spin-12 XX and XXZ models. We show that using this approach one can efficiently prepare eigenstates of the XX model on a quantum computer with quantum resources that match previous state-of-the-art approaches. We run small-scale error-mitigated implementations on the IBM quantum computers, including the preparation of the ground state for the XX and XXZ models on 4 sites. Finally, we derive a new form of the Yang-Baxter equation using unitary matrices, and also verify it on a quantum computer.
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Volkoff, T. J., and K. B. Whaley. "Distinguishability times and asymmetry monotone-based quantum speed limits in the Bloch ball." Quantum 2 (October 1, 2018): 96. http://dx.doi.org/10.22331/q-2018-10-01-96.
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For both unitary and open qubit dynamics, we compare asymmetry monotone-based bounds on the minimal time required for an initial qubit state to evolve to a final qubit state from which it is probabilistically distinguishable with fixed minimal error probability (i.e., the minimal error distinguishability time). For the case of unitary dynamics generated by a time-independent Hamiltonian, we derive a necessary and sufficient condition on two asymmetry monotones that guarantees that an arbitrary state of a two-level quantum system or a separable state of N two-level quantum systems will unitarily evolve to another state from which it can be distinguished with a fixed minimal error probability δ∈[0,1/2]. This condition is used to order the set of qubit states based on their distinguishability time, and to derive an optimal release time for driven two-level systems such as those that occur, e.g., in the Landau-Zener problem. For the case of non-unitary dynamics, we compare three lower bounds to the distinguishability time, including a new type of lower bound which is formulated in terms of the asymmetry of the uniformly time-twirled initial system-plus-environment state with respect to the generator HSE of the Stinespring isometry corresponding to the dynamics, specifically, in terms of ‖[HSE,ρav(τ)]‖1, where ρav(τ):=1τ∫0τdte−iHSEtρ⊗|0⟩E⟨0|EeiHSEt.
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Campoamor-Stursberg, Rutwig, Hubert de Guise, and Marc de Montigny. "su(2) -expansion of the Lorentz algebra so(3,1 )." Canadian Journal of Physics 91, no. 8 (August 2013): 589–98. http://dx.doi.org/10.1139/cjp-2012-0391.
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We exploit the Iwasawa decomposition to construct coherent state representations of [Formula: see text], the Lorentz algebra in 3 + 1 dimensions, expanded on representations of the maximal compact subalgebra [Formula: see text]. Examples of matrix elements computation for finite dimensional and infinite-dimensional unitary representations are given. We also discuss different base vectors and the equivalence between these different choices. The use of the [Formula: see text]-matrix formalism to truncate the representation or to enforce unitarity is discussed.
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Brennen, G. K., S. S. Bullock, and D. P. O'Leary. "Efficient circuits for exact-universal computation with qudits." Quantum Information and Computation 6, no. 4&5 (July 2006): 436–54. http://dx.doi.org/10.26421/qic6.4-5-9.
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This paper concerns the efficient implementation of quantum circuits for qudits. We show that controlled two-qudit gates can be implemented without ancillas and prove that the gate library containing arbitrary local unitaries and one two-qudit gate, $\CINC$, is exact-universal. A recent paper [S.Bullock, D.O'Leary, and G.K. Brennen, Phys. Rev. Lett. 94, 230502 (2005)] describes quantum circuits for qudits which require O(d^n) two-qudit gates for state synthesis and O(d^{2n}) two-qudit gates for unitary synthesis, matching the respective lower bound complexities. In this work, we present the state-synthesis circuit in much greater detail and prove that it is correct. Also, the (n-2)/(d-2) ancillas required in the original algorithm may be removed without changing the asymptotics. Further, we present a new algorithm for unitary synthesis, inspired by the QR matrix decomposition, which is also asymptotically optimal.
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Amir, Muhammad. "DARI FEDERALIS KE UNITARIS: STUDI KASUS SULAWESI SELATAN 1945-1950." Patanjala : Jurnal Penelitian Sejarah dan Budaya 2, no. 2 (March 2, 2010): 341. http://dx.doi.org/10.30959/patanjala.v2i2.222.
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AbstrakKajian ini bertujuan untuk mengungkapkan dan menjelaskan latar belakang dan proses perubahan sistem ketatanegaraan dari federalis ke unitaris di Sulawesi Selatan 1945-1950. Metode yang digunakan dalam kajian ini adalah metode sejarah, yang menjelaskan persoalan penelitian berdasarkan perspektif sejarah. Prosedurnya meliputi empat tahapan, yaitu pencarian dan pengumpulan sumber (heuristik), kritik sumber (seleksi data), interpretasi (penafsiran), dan penyajian atau penulisan sejarah (historiografi). Hasil kajian menunjukkan bahwa pembentukan Negara Indonesia Timur (NIT) bukan semata-mata kehendak Belanda, melainkan juga keinginan sebagian masyarakat yang menghendaki negara Indonesia berbentuk federal. Negara federal diyakini tidak hanya sesuai dengan kondisi Indonesia yang terdiri atas beberapa pulau, etnis, dan budaya, tetapi juga akan memberikan kesempatan luas kepada pemerintah tiap-tiap negara bagian untuk mengelolah potensi wilayahnya masing-masing. Namun upaya untuk mempertahankan eksistensi NIT, kalah bersaing dengan semangat unitaris, sehingga melapangkan terwujudnya kembali Negara Kesatuan Republik Indonesia. AbstractThis study is intended to uncover and find out background and change process of governance system from federalism to unitarian in South Sulawesi 1945-1950. Method used in this research is historical method, which explainsresearch problem based on historical perspective. Its procedure includes four steps, finding and collecting data (heuristic), source critique (data selecting ), interpretation, and historiography. Result of analysis shows that the establishment of East Indonesian Nation is not merely Netherlands desire, but also the desire of certain community that intends to form federal nation of Indonesia. Federal nation is considered not only appropriate with Indonesian’s state consisting of many island, ethnics, and cultures, but also will give widely opportunity to the government of each state to manage their own potential area. Yet, the effort to preserve the existence of East Indonesian Nation is more dominitaed by unitarian spirit, then it makes esay the establishment of Republic of Indonesian Nation.
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Gharibian, S., H. Kampermann, and D. Bruss. "On global effects caused by locally noneffective unitary operations." Quantum Information and Computation 9, no. 11&12 (November 2009): 1013–29. http://dx.doi.org/10.26421/qic9.11-12-6.
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Given a bipartite quantum state $\rho$ with subsystems $A$ and $B$ of arbitrary dimensions, we study the entanglement detecting capabilities of locally noneffective, or cyclic, unitary operations [Fu, Europhys. Lett., vol. 75]. Local cyclic unitaries have the special property that they leave their target subsystem invariant. We investigate the distance between $\rho$ and the global state after local application of such unitaries as a possible indicator of entanglement. To this end, we derive and discuss closed formulae for the maximal such distance achievable for three cases of interest: (pseudo)pure quantum states, Werner states, and two-qubit states. What makes this criterion interesting, as we show here, is that it surprisingly displays behavior similar to recent anomalies observed for non-locality measures in higher dimensions, as well as demonstrates an equivalence to the CHSH inequality for certain classes of two-qubit states. Yet, despite these similarities, the criterion is not itself a non-locality measure. We also consider entanglement detection in bound entangled states.
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KROMMWEH, JENS. "TIGHT FRAME CHARACTERIZATION OF MULTIWAVELET VECTOR FUNCTIONS IN TERMS OF THE POLYPHASE MATRIX." International Journal of Wavelets, Multiresolution and Information Processing 07, no. 01 (January 2009): 9–21. http://dx.doi.org/10.1142/s0219691309002751.
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The extension principles play an important role in characterizing and constructing of wavelet frames. The common extension principles, the unitary extension principle (UEP) or the oblique extension principle (OEP), are based on the unitarity of the modulation matrix. In this paper, we state the UEP and OEP for refinable function vectors in the polyphase representation. Finally, we apply our results to directional wavelets on triangles which we have constructed in a previous work. We will show that the wavelet system generates a tight frame for L2(ℝ2).
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Wayessa, Gutu Olana. "State-Building and Development in Ethiopia: From “Developmental State” to “Prosperity” Model." Northeast African Studies 21, no. 2 (October 1, 2021): 83–115. http://dx.doi.org/10.14321/nortafristud.21.2.083v.
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Abstract State-building and development are mutually reinforcing phenomena. The sustainability of development depends on the stability of state's political-structural foundation and the prospect of peace, which is influenced by the origin and evolution of the state. Every regime in Ethiopia has portrayed its advent as a new dawn for the country's development. In recent history, the Ethiopian People's Revolutionary Democratic Front (EPRDF) introduced a “developmental state” model and registered notable economic growth on aggregate but failed on accounts of equitable distribution. The EPRDF regime used the “developmental state” model to enhance the centralization of state power and circumvent regional autonomy. In 2018, the Prosperity Party (PP) introduced a “prosperity” model. From the EPRDF to the PP, there are signals of a radical shift of approach in state-building and development. This article analyzes the premises and promises of the multinational federation and “developmental state” model under the EPRDF regime, and the unitarist orientation and “prosperity” paradigm under the PP. I argue that the radical shift of direction from the multinational federalism towards a unitary state is unrealistic and fundamentally shatters the prospect of development.
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Paetznick, Adam, and Krysta M. Svore. "Repeat-Until-Success: Non-deterministic decomposition of single-qubit unitaries." Quantum Information and Computation 14, no. 15&16 (November 2014): 1277–301. http://dx.doi.org/10.26421/qic14.15-16-2.
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We present a decomposition technique that uses non-deterministic circuits to approximate an arbitrary single-qubit unitary to within distance $\epsilon$ and requires significantly fewer non-Clifford gates than existing techniques. We develop ``Repeat-Until-Success" (RUS) circuits and characterize unitaries that can be exactly represented as an RUS circuit. Our RUS circuits operate by conditioning on a given measurement outcome and using only a small number of non-Clifford gates and ancilla qubits. We construct an algorithm based on RUS circuits that approximates an arbitrary single-qubit $Z$-axis rotation to within distance $\epsilon$, where the number of $T$ gates scales as $1.26\log_2(1/\epsilon) - 3.53$, an improvement of roughly three-fold over state-of-the-art techniques. We then extend our algorithm and show that a scaling of $2.4\log_2(1/\epsilon) - 3.28$ can be achieved for arbitrary unitaries and a small range of $\epsilon$, which is roughly twice as good as optimal deterministic decomposition methods.
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Hama, Hawre Hasan. "Possible Kurdish State: Federal State or Unitary State?" Journal of South Asian and Middle Eastern Studies 41, no. 1 (2017): 17–30. http://dx.doi.org/10.1353/jsa.2017.0024.
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Low, Guang Hao, and Isaac L. Chuang. "Hamiltonian Simulation by Qubitization." Quantum 3 (July 12, 2019): 163. http://dx.doi.org/10.22331/q-2019-07-12-163.
Full textAbstract:
We present the problem of approximating the time-evolution operatore−iH^tto errorϵ, where the HamiltonianH^=(⟨G|⊗I^)U^(|G⟩⊗I^)is the projection of a unitary oracleU^onto the state|G⟩created by another unitary oracle. Our algorithm solves this with a query complexityO(t+log(1/ϵ))to both oracles that is optimal with respect to all parameters in both the asymptotic and non-asymptotic regime, and also with low overhead, using at most two additional ancilla qubits. This approach to Hamiltonian simulation subsumes important prior art considering Hamiltonians which ared-sparse or a linear combination of unitaries, leading to significant improvements in space and gate complexity, such as a quadratic speed-up for precision simulations. It also motivates useful new instances, such as whereH^is a density matrix. A key technical result is `qubitization', which uses the controlled version of these oracles to embed anyH^in an invariantSU(2)subspace. A large class of operator functions ofH^can then be computed with optimal query complexity, of whiche−iH^tis a special case.
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van Wezel, Jasper. "Phase transitions as a manifestation of spontaneous unitarity violation." Journal of Physics A: Mathematical and Theoretical 55, no. 40 (September 29, 2022): 401001. http://dx.doi.org/10.1088/1751-8121/ac9163.
Full textAbstract:
Abstract Spontaneous symmetry breaking is well understood under equilibrium conditions as a consequence of the singularity of the thermodynamic limit. How a single global orientation of the order parameter dynamically emerges from an initially symmetric state during a phase transition, however, is not captured by this paradigm. Here, we present a series of symmetry arguments suggesting that singling out a global choice for the ordered state is in fact forbidden under unitary time evolution, even in the presence of an environment and infinitesimal symmetry breaking perturbations. We thus argue that the observation of phase transitions in our everyday world presents a manifestation of the unitarity of quantum dynamics itself being spontaneously broken. We argue that this agrees with the observation that Schrödinger’s time dependent equation is rendered unstable for macroscopic objects owing to the same singular thermodynamic limit that affects equilibrium configurations.