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Добірка наукової літератури з теми "ENTANGLEMENT CRITERION"

Автор: Grafiati

Опубліковано: 11 вересня 2023

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Статті в журналах з теми "ENTANGLEMENT CRITERION"

Chen, Xiao-Yu, Li-Zhen Jiang, and Zhu-An Xu. "Necessary and sufficient criterion for k-separability of N-qubit noisy GHZ states." International Journal of Quantum Information 16, no. 04 (June 2018): 1850037. http://dx.doi.org/10.1142/s0219749918500375.

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A Multipartite entangled state has many different kinds of entanglements specified by the number of partitions. The most essential example of multipartite entanglement is the entanglement of multi-qubit Greenberger–Horne–Zeilinger (GHZ) state in white noise. We explicitly construct the entanglement witnesses for these states with stabilizer generators of the GHZ states. For an [Formula: see text] qubit GHZ state in white noise, we demonstrate the necessary and sufficient criterion of separability when it is divided into [Formula: see text] parties with [Formula: see text] for arbitrary [Formula: see text] and [Formula: see text]. The criterion covers more than a half of all kinds of partial entanglements for [Formula: see text]-qubit GHZ states in white noise. For the rest of multipartite entanglement problems, we present a method to obtain the sufficient conditions of separability. As an application, we consider [Formula: see text] qubit GHZ state as a codeword of the degenerate quantum code passing through depolarizing channel. We find that the output state is neither genuinely entangled nor fully separable when the quantum channel capacity reduces from positive to zero.

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Wang, Hailong, and Yunpeng Shi. "Multi-Mode Correlation in a Concurrent Parametric Amplifier." Photonics 9, no. 7 (June 23, 2022): 443. http://dx.doi.org/10.3390/photonics9070443.

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A concurrent parametric amplifier consisting of two pump beams is used to investigate the possibility of generating multi-mode correlation and entanglement. The existence of three-mode entanglement is demonstrated by analyzing the violation degree of three-mode entanglement criteria, including the sufficient criterion, i.e., two-condition and optimal single-condition criterion, and necessary and sufficient criterion, i.e., positivity under partial transposition (PPT) criterion. Besides, two-mode entanglement generated from any pair is also studied by using the Duan criterion and PPT criterion. We find that three-mode entanglement and two-mode entanglement of the two pairs are present in the whole parameter region. Our results pave the way for the realization and application of multi-mode correlation and entanglement based on the concurrent parametric amplifiers.

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Cheng, Wei, Fang Xu, and Hua Li. "A class of bound entangled states violating the Breuer–Hall criterion." Modern Physics Letters B 28, no. 20 (August 10, 2014): 1450164. http://dx.doi.org/10.1142/s0217984914501644.

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A strong and computational entanglement criterion, i.e. the Breuer–Hall criterion, has been proposed independently by Breuer [Phys. Rev. Lett. 97 (2006) 080501; J. Phys. A: Math. Gen. 39 (2006) 11847] and Hall [J. Phys. A: Math. Gen. 39 (2006) 14119]. As the first explicit example, we show that the class of bound entangled states found by Fei et al. [Phys. Lett. A 352 (2006) 321] exactly violate the Breuer–Hall criterion. This example can be considered as one of the test platforms of a variety of entanglement criteria and may be helpful for us to develop more powerful entanglement criteria.

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Hua, Zhang, and Wu Xiao-Hua. "Entanglement Criterion of N -Qubit State." Communications in Theoretical Physics 45, no. 4 (April 2006): 601–4. http://dx.doi.org/10.1088/0253-6102/45/4/006.

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PING, YUN-XIA, BO ZHANG, ZE CHENG, and QINFENG XU. "TWO-MODE ENTANGLEMENT VIA SUPERPOSITIONS OF TWO-MODE COHERENT STATES." Modern Physics Letters B 21, no. 19 (August 20, 2007): 1253–59. http://dx.doi.org/10.1142/s0217984907013584.

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Анотація:

Two-mode entanglement of superposition states from several two-mode coherent states is investigated according to the entanglement criterion.9 The dependence of entanglement on relative phase angle, coherent amplitude of each mode and phase angle is discussed. It is shown that under certain conditions the superposition states can exhibit entanglement properties.

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Li, Jun, and Lin Chen. "Entanglement criterion via general symmetric informationally complete measurement." Journal of Physics A: Mathematical and Theoretical 55, no. 1 (December 6, 2021): 015302. http://dx.doi.org/10.1088/1751-8121/ac3859.

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Abstract We propose entanglement criteria for multipartite systems via symmetric informationally complete measurement and general symmetric informationally complete measurement. We apply these criteria to detect entanglement of multipartite states, such as the convex of Bell states, entangled states mixed with white noise. It is shown that these criteria are stronger than some existing ones.

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ZHANG, BO, GUO-QIN GE, and YUN-XIA PING. "ENTANGLEMENT FOR THE TWO-MODE FIELD IN THREE-LEVEL ATOMIC SYSTEMS." Modern Physics Letters B 21, no. 13 (May 30, 2007): 781–88. http://dx.doi.org/10.1142/s0217984907013249.

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We investigate entanglement for the two-mode field in three-level atomic systems. Entanglement of the system is demonstrated according to the Duan's criterion.16 It shows that the entanglement has a close relation with the pump intensity. For large pump intensity, particular choice of its phase, zero detuning and cooperativity parameter, perfect entanglement for the two-mode field can be generated outside the cavity.

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Inui, Yoshitaka, and Yoshihisa Yamamoto. "Entanglement and Photon Anti-Bunching in Coupled Non-Degenerate Parametric Oscillators." Entropy 23, no. 5 (May 17, 2021): 624. http://dx.doi.org/10.3390/e23050624.

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We analytically and numerically show that the Hillery-Zubairy’s entanglement criterion is satisfied both below and above the threshold of coupled non-degenerate optical parametric oscillators (NOPOs) with strong nonlinear gain saturation and dissipative linear coupling. We investigated two cases: for large pump mode dissipation, below-threshold entanglement is possible only when the parametric interaction has an enough detuning among the signal, idler, and pump photon modes. On the other hand, for a large dissipative coupling, below-threshold entanglement is possible even when there is no detuning in the parametric interaction. In both cases, a non-Gaussian state entanglement criterion is satisfied even at the threshold. Recent progress in nano-photonic devices might make it possible to experimentally demonstrate this phase transition in a coherent XY machine with quantum correlations.

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Sarbicki, Gniewomir, Giovanni Scala, and Dariusz Chruściński. "Enhanced realignment criterion vs linear entanglement witnesses." Journal of Physics A: Mathematical and Theoretical 53, no. 45 (October 28, 2020): 455302. http://dx.doi.org/10.1088/1751-8121/abba46.

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Nian-Quan, Jiang, and Wangyu-Jian. "Criterion for Genuine Multipartite Entanglement Quantum Channels." Chinese Physics Letters 27, no. 1 (January 2010): 010302. http://dx.doi.org/10.1088/0256-307x/27/1/010302.

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Більше джерел

Дисертації з теми "ENTANGLEMENT CRITERION"

Liguori, Alexandra Magdalene. "Quantum Markovian dynamics and bipartite entanglement." Doctoral thesis, Università degli studi di Trieste, 2010. http://hdl.handle.net/10077/3583.

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2008/2009
In questa tesi di dottorato si sono studiati i cosiddetti sistemi quantistici aperti, cioè sistemi sici la cui interazione con l'ambiente esterno non può essere trascurata, da due prospettive: da un lato si sono caratterizzate le proprietà del bagno mediante grandezze siche del sottosistema immerso in esso; dall'altro si è studiato l' entanglement, dal punto di vista sia della sua generazione sia della sua evoluzione temporale, in sistemi bipartiti immersi e interagenti con un bagno esterno. La mia tesi di dottorato, Quantum Markovian Dynamics and Bipartite En- tanglement (Dinamica Markoviana quantistica ed entanglement bipartito ) è organizzata nel seguente modo. Nel primo capitolo vengono descritti brevemente i sistemi quantistici composti, con particolare attenzione ai sistemi bipartiti, cioè composti da due sottosistemi. Poi si de niscono stati entangled e separabili (non entangled) e vengono illustrati dei criteri di separabilità basati sulle cosiddette mappe positive non completamente positive. In ne, vengono de nite le misure di entanglement e presentati degli esempi di misure importanti. Nel secondo capitolo vengono descritti i sistemi quantistici aperti: innanzitutto vengono de nite le dinamiche reversibili ed irreversibili; poi vengono derivate la dinanica ridotta di un sistema immerso in un bagno esterno con cui interagisce e la rispettiva master equation, spiegando le principali approssimazioni Markoviane in dettaglio. Si considera, in ne, la derivazione degli stati asintotici, con particolare attenzione ai sistemi a uno o due qubit, che sono di interesse per questa tesi. Il terzo capitolo è dedicato alla determinazione dei parametri fenomenologici della master equation in un particolare sistema quantistico aperto unidimensionale. Questo sistema è costituito da un lo in cui è ssata un'impurezza di spin 1=2 la quale interagisce magneticamente con un elettrone che può propagarsi lungo suddetto lo. L'intero sistema è immerso in un bagno esterno i cui e etti di dissipazione e rumore agiscono solo sul grado di libertà di spin dell'impurezza. Per questo sistema vengono trovate delle espressioni esplicite per i parametri del rumore dovuti all'ambiente in termini delle probabilità di trasmissione e ri essione dell'elettrone, che si possono misurare. Nel quarto capitolo viene descritto il comportamento dell'entanglement in sistemi quantistici aperti: in particolare viene studiato un sistema composto da due qubits e si analizzano sia le condizioni di generazione di entanglement in uno stato inizialmente separabile sia la possibilità che questo entanglement persista nello stato asintotico. In ne, gli ultimi due capitoli trattano esempi espliciti del comportamento dell' entanglement in sistemi quantistici aperti, da un lato, nel Capitolo 5, analizzando la generazione di entanglement, dall'altro, nel Capitolo 6, descrivendo l'evoluzione temporale dell'entanglement e confrontandola con quella dell'entropia. Nel quinto capitolo, viene considerato un sistema bipartito di due qubits immersi in un bagno esterno comune col quale interagiscono debolemente (senza interagire direttamente tra di loro) e viene trovata una condizione necessaria e su ciente a nchè venga generato entanglement, solo tramite l'azione del bagno, in uno stato inizialmente separabile dei due qubits. Poi questa condizione viene generalizzata ad una condizione su ciente per la generazione di entanglement tramite il bagno in sistemi bipartiti di dimensione arbitraria. Nel sesto capitolo, si considera di nuovo un sistema bipartito composto di due qubits immersi in un bagno esterno comune e che evolvono secondo una particolare dinamica dissipativa. In un lavoro precedente era stato congetturato che, per sistemi quantistici aperti senza una Hamiltoniana di interazione esterna, la variazione nel tempo dell' entanglement fosse sempre minore della variazione nel tempo dell'entropia. Quindi, in questo capitolo, si sono studiate le variazioni nel tempo dell'entanglement e dell'entropia per la particolare dinamica dissipativa di nostro interesse. Variando gli stati iniziali del nostro sistema e i parametri del rumore per la nostra evoluzione dissipativa, abbiamo da un lato analizzato il comportamento temporale dell' entanglement e dall'altro paragonato la variazione temporale di quest'ultimo con la variazione temporale dell'entropia. Abbiamo quindi potuto formulare una nuova congettura, basata su una gamma più ampia di esempi: dai nostri risultati si trova che la precedente congettura è veri cata solo se lo stato asintotico della dinamica è separabile, mentre non lo è se lo stato asintotico è entangled.
XXII Ciclo
1981

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Zander, Claudia. "Classical & quantum dynamics of information and entanglement properties of fermion systems." Thesis, University of Pretoria, 2012. http://hdl.handle.net/2263/28607.

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Due to their great importance, both from the fundamental and from the practical points of view, it is imperative that the various facets of the concepts of information and entanglement are explored systematically in connection with diverse physical systems and processes. These concepts are at the core of the emerging field of the Physics of Information. In this Thesis I investigate some aspects of the dynamics of information in both classical and quantum mechanical systems and then move on to explore entanglement in fermion systems by searching for novel ways to classify and quantify entanglement in fermionic systems. In Chapter 1 a brief review of the different information and entropic measures as well as of the main evolution equations of classical dynamical and quantum mechanical systems is given. The conservation of information as a fundamental principle both at the classical and quantum levels, and the implications of Landauer's theorem are discussed in brief. An alternative and more intuitive proof of the no-broadcasting theorem is also provided. Chapter 2 is a background chapter on quantum entanglement, where the differences between the concept of entanglement in systems consisting of distinguishable subsystems and the corresponding concept in systems of identical fermions are emphasized. Different measures of entanglement and relevant techniques such as majorization, are introduced. To illustrate some of the concepts reviewed here I discuss the entanglement properties of an exactly soluble many-body model which was studied in paper (E) of the publication list corresponding to the present Thesis. An alternative approach to the characterization of quantum correlations, based on perturbations under local measurements, is also briefly reviewed. The use of uncertainty relations as entanglement indicators in composite systems having distinguishable subsystems is then examined in some detail. Chapter 3 is based on papers (A) and (B) of the list of publications. Extended Landauer-like principles are developed, based amongst others on the conservation of information of divergenceless dynamical systems. Conservation of information within the framework of general probabilistic theories, which include the classical and quantum mechanical probabilities as particular instances, is explored. Furthermore, Zurek's information transfer theorem and the no-deleting theorem are generalized. Chapter 4 is based on articles (C) and (D) mentioned in the publication list, and investigates several separability criteria for fermions. Criteria for the detection of entanglement are developed based either on the violation of appropriate uncertainty relations or on inequalities involving entropic measures. Chapter 5 introduces an approach for the characterization of quantum correlations (going beyond entanglement) in fermion systems based upon the state disturbances generated by the measurement of local observables. Chapter 6 summarizes the conclusions drawn in the previous chapters. The work leading up to this Thesis has resulted in five publications in peer reviewed science research journals.
Thesis (PhD)--University of Pretoria, 2012.
Physics
unrestricted

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Lima, Rafael Bruno Barbosa. "Testemunha de emaranhamento generalizada." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/76/76131/tde-24042015-082357/.

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Desde o surgimento da mecânica quântica no início do século XX, ela vem sendo alvo de diversos estudos e suas característcas fazem com que a mesma seja descrita de forma totalmente diferente da teoria clássica. Com o aprofundamento em suas áreas, surgiram novos conceitos e a compreensão sobre a teoria da informação e computação quântica foi radicalmente mudada devido a uma propriedade básica da mecânica quântica, o emaranhamento. Assim, a popularização da ideia do computador quântico trouxe consigo uma série de pesquisas relacionadas a informação quântica e suas aplicações no mundo real. Nesta dissertação apresentamos um estudo sobre a construção de um critério de emaranhamento geral, no qual podemos aplicá-lo a quaisquer sistemas possuindo um Hamiltoniano descrito por cadeias de spins, seja ele bipartido ou multipartido. Esse critério é baseado na covariância de um observável geral que pode ou não possuir termos de interações entre os spins. Entretanto, esse critério pode ser facilmente reduzido a variância, uma vez que esta é muito mais adequada para a aplicação em sistemas físicos. Desta maneira, podemos utilizar a susceptibilidade magnética e o calor específico como testemunhas de emaranhamento para o critério, em razão da sua facilidade de medidas experimentais.
Since the advent of quantum mechanics in the early twentieth century, it has been the subject of several studies and their features cause it to be described quite differently from classical theory. With the deepening in their fields, there were new concepts and understanding about information theory and quantum computing has been radically changed due to a basic property of quantum mechanics, the entanglement. Thus, the popularization of the idea of the quantum computer has brought a lot of research related to quantum information and its applications in the real world. In this thesis we present a study about a construction of a general criterion of entanglement, in which we can apply it to any system having a Hamiltonian described by spin chains, either bipartite or multipartite. This criterion is based on general observables covariance that may or may not possess terms of interactions between spins. However, this criterion can be easily reduced to the variance, since this is more suitable for use in physical systems. In this way, we can use the magnetic susceptibility and the specific heat as witnesses of entanglement for the criterion, because of their ease of experimental measurements.

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KALSON, SHWETA, and ANCHAL SINGH. "A FEW ENTANGLEMENT CRITERION FOR TWO-QUBIT AND TWO-QUDIT SYSTEMS BASED ON REALIGNMENT OPERATION." Thesis, 2022. http://dspace.dtu.ac.in:8080/jspui/handle/repository/19614.

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It is known that realignment crierion is necessary but not a sufficient criterion even for a two-qubit system. We have derived necessary and sufficient condition based on realignment operation for a particular class of two-qubit system and thus solved this problem partially for two-qubit system. We have shown that the lower bound of the trace norm of realigned form of the particular form of the density matrix exists if and only if the two-qubit state is entangled. The derived necessary and sufficient condition detects two-qubit entangled states, which are not detected by the realignment criterion. Further, we have obtained the upper bound of the minimum singular value of the realigned form of the density matrix for the d ⊗ d dimensional separable states. Moreover, we provide the geometrical interpretation of the derived separability criterion for d ⊗ d dimensional system. Moreover, we show that our criterion may also detect bound entangled state. Our criterion is beneficial in the sense that it requires to calculate only minimum singular value of the realigned matrix while on the other hand realignment criterion requires all singular values of the realigned matrix. Thus, our criterion has computational advantage over the realignment criterion.

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Книги з теми "ENTANGLEMENT CRITERION"

Zelinsky, Edward A. Untangling Entanglement. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780190853952.003.0005.

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This chapter begins the transition from empirical to normative concerns, explaining and evaluating the diverse pattern of taxing and exempting churches and other religious institutions. Entanglement concerns help to explain this diversity. This chapter identifies which taxes carry the greatest (and least) threat of church-state entanglement. It also discusses why entanglement should be an important consideration when deciding to tax or exempt religious institutions. Either taxing or exempting churches and sectarian entities involves entanglement. Central to this discussion are such tax policy criteria as revenue, administrability, valuation concerns, taxpayer liquidity, public acceptability, and economic neutrality. The federal and state tax systems do a reasonable job of taxing churches where the possibilities for enforcement entanglement are least and of exempting churches where the prospects for enforcement-related entanglement are greatest. Our federal system of decentralized legislative decision-making works reasonably well to make the imperfect trade-offs inherent in taxing and exempting religious entities.

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Частини книг з теми "ENTANGLEMENT CRITERION"

Nowostawski, Mariusz, and Andrzej Gecow. "Identity Criterion for Living Objects Based on the Entanglement Measure." In Semantic Methods for Knowledge Management and Communication, 159–69. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-23418-7_15.

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Sun, Qingqing, and M. Suhail Zubairy. "Entanglement Criteria for Continuous-Variable Systems." In Classical, Semi-classical and Quantum Noise, 249–58. New York, NY: Springer US, 2011. http://dx.doi.org/10.1007/978-1-4419-6624-7_17.

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Saif M. Hassan, Ali, Waleed S.A. Hasan, and Mohamed A. Shukri. "Perspective chapter: Squeezing and Entanglement of two-modes Quantum $\mathrm{X}$ Waves." In Quantum Entanglement in High Energy Physics [Working Title]. IntechOpen, 2023. http://dx.doi.org/10.5772/intechopen.1002263.

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Quantum theory of generalized X waves with orbital angular momentum in dispersive media, and the interaction of quantized X waves in quadratic nonlinear media were studied in (J. opt,20,065201 (2018)). We present a kind of phase matching, which is called velocity phase matching, and this phase matching can be used for determining the length of the nonlinear crystal or the interaction time in the experiment setup, to produce X waves with particular velocity v. Moreover, we introduce more analysis for the dependence of squeezing of X waves on its spectral order, and for spectral orders j>0, we predict the existence of a characteristic axicon aperture for maximal squeezing. Then, we find the quantum squeezed state of the down-converted state generated by the χ2-nonlinear process. Finally, we detect their entanglement using a criterion of separability.

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"Quantum Entanglement: Concepts and Criteria." In Mathematics of Quantum Computation and Quantum Technology, 367–404. Chapman and Hall/CRC, 2007. http://dx.doi.org/10.1201/9781584889007-20.

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Keller, Catherine. "“And Truth—So Manifold!”: Transfeminist Entanglements." In Intercarnations. Fordham University Press, 2017. http://dx.doi.org/10.5422/fordham/9780823276455.003.0003.

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This chapter examines the sense of transit, transition, and translation involved in the nonlinear and necessary evolution of feminism under the heading of transfeminism. More specifically, it explores the link between entanglement and difference. As difference multiplies, the tension intensifies. And as gender folds into sexuality, into race, class, and ecology, into materiality, it resists reduction to a mere issue among many. Inspired by a poem of Emily Dickinson, “Truth so manifold,” the chapter hopes to keep feminism from getting either transcended or stuck in a certainty of its own. In discussing a transfeminist version of feminist theology, it outlines three criteria: entanglement, considered as relationality stretched from intimacy to infinity; unknowing, considered as apophatic uncertainty stretched from ignorance to wisdom; and multiplicity, considered as the teaching of the manifold, stretched from orthodoxy into pluralism.

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"Shifting Times, Converging Futures: Technologies of Writing Beyond Poggio Bracciolini." In Atti, 103–17. Florence: Firenze University Press, 2020. http://dx.doi.org/10.36253/978-88-6453-968-3.09.

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Bracciolini’s contribution to visual materiality, graphical innovation, and the book trade is the driving force in the development of a new philological turn. This essay explores the textual consciousness that marked the passage to scrupulous criteria of editing and writing, which ultimately indicates and emphasizes the historical dimension of hermeneutical tradition. With a powerful impact on readership and authorship, Bracciolini stands behind this groundbreaking entanglement, as we rethink textual transmission and modern scholarship in this digital age.

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Strange, Carolyn. "The Entanglement of Parole and Pardoning in the Progressive Era." In Discretionary Justice. NYU Press, 2016. http://dx.doi.org/10.18574/nyu/9781479899920.003.0007.

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The rise of the expert, emphasized in most histories of progressive penology, was marked in New York; however, this chapter draws on parole board hearing records to reveal the enduring personal nature of discretionary release. Whereas governors dispensed mercy according to traditional criteria (favoring persons of previous good character, the infirm, and prisoners for whom respectable citizens were willing to vouch), comportment and deference mattered in parole hearings. Above all the Parole Board’s discretion hinged on the promise of work (for men) and a stable home (for women). Gubernatorial clemency became a resort for individuals who could not qualify for parole, but governors continued to court controversy when individual pardons favored the rich and influential.

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Zanotti, Laura. "The Moral Failure of the Quest for Certainty." In Quantum International Relations, 361–80. Oxford University Press, 2022. http://dx.doi.org/10.1093/oso/9780197568200.003.0018.

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This chapter explores the relevance of ontological assumptions for justifications of agency and ethics. It critiques Kantian ethics’ reliance on the substantialist ontological imaginary of Newtonian physics. Through critiquing the substantialist, anthropocentric, and colonial implications of that ontology, the chapter argues that Kantian criteria are not only insufficient to make good choices but also conducive making to wrong ones. For instance, they elicit self-appeasement in international interventions. The chapter proposes that an ontology of entanglements opens possibilities to overcome the shortcomings of an ethos based upon abstractions and possibly for correcting its moral failures. A quantum ontological imaginary validates ethical choices through contextual evaluation and an interrogation of the apparatuses selected. Specific practices, rather than an abstract humanity, are the referents for devising such ethos.

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Тези доповідей конференцій з теми "ENTANGLEMENT CRITERION"

Man'ko, Vladimir I., Guillaume Adenier, Andrei Yu Khrennikov, Pekka Lahti, Vladimir I. Man'ko, and Theo M. Nieuwenhuizen. "Probability Instead of Wave Function and Bell Inequalities as Entanglement Criterion." In Quantum Theory. AIP, 2007. http://dx.doi.org/10.1063/1.2827296.

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Law, C. K., and Phoenix S. Y. Poon. "Negativity of Gaussian states in noisy environment: Interpretations and Applications." In Workshop on Entanglement and Quantum Decoherence. Washington, D.C.: Optica Publishing Group, 2008. http://dx.doi.org/10.1364/weqd.2008.edd3.

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We reexamine the interpretation of negativity of a generally mixed two-mode Gaussian state by diagonalizing ρ TA (the partial transposition of density matrix ρ) directly. We show that negativity can be explicitly expressed in terms of an optimal uncertainty product corresponding to the greatest violation of a separability criterion based on positive partial transposition [1], In addition, the explicit form of the eigenvectors of ρ ta provides a way to construct entanglement witness operators [2]. We apply our analysis of negativity to disentanglement dynamics in two physical situations in optics. First, we study two-mode squeezed states interacting with symmetric linear baths. Second, we study the decoherence of hyper-entangled two-photon states due to polarization mode dispersion in optical fibers. In both problems, we present the time-dependence of negativity and indicate how the disentanglement times depend on system parameters.

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Kauffman, Louis H., and Samuel J. Lomonaco, Jr. "Entanglement criteria: quantum and topological." In AeroSense 2003, edited by Eric Donkor, Andrew R. Pirich, and Howard E. Brandt. SPIE, 2003. http://dx.doi.org/10.1117/12.487835.

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Linlin Zheng, H. Matsueda, and H. Ohnishi. "Criteria and degree of multi-particle entanglement." In International Quantum Electronics Conference, 2005. IEEE, 2005. http://dx.doi.org/10.1109/iqec.2005.1561080.

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Mohd, Siti Munirah, Bahari Idrus, and Muriati Mukhtar. "Separability criteria and method of measurement for entanglement." In PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4882495.

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Bowen, W. P., R. Schnabel, N. Treps, H. A. Bachor, P. K. Lam, and T. C. Raplh. "An experimental investigation of criteria for continuous variable entanglement." In 2003 European Quantum Electronics Conference. EQEC 2003 (IEEE Cat No.03TH8665). IEEE, 2003. http://dx.doi.org/10.1109/eqec.2003.1314210.

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Bowen, W. P., R. Schnabel, N. Treps, H. A. Bachor, P. K. Lam, and T. C. Ralph. "An experimental investigation of criteria for continuous variable entanglement." In Quantum Electronics and Laser Science (QELS). Postconference Digest. IEEE, 2003. http://dx.doi.org/10.1109/qels.2003.237792.

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Tóth, Géza, Christian Knapp, Otfried Gühne, Hans J. Briegel, and Alexander Lvovsky. "Generalized spin squeezing criteria: Entanglement detection with collective measurements." In QUANTUM COMMUNICATION, MEASUREMENT AND COMPUTING (QCMC): Ninth International Conference on QCMC. AIP, 2009. http://dx.doi.org/10.1063/1.3131365.

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Spagnolo, Nicolò, Chiara Vitelli, Fabio Sciarrino, and Francesco De Martini. "Entanglement test in micro-macroscopic photon system: criteria and assumptions." In ADVANCES IN QUANTUM THEORY: Proceedings of the International Conference on Advances in Quantum Theory. AIP, 2011. http://dx.doi.org/10.1063/1.3567445.

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