Relevant bibliographies by topics / Quantum recurrence

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Quantum recurrence'

Author: Grafiati
Published: 9 March 2023
Last updated: 11 June 2025

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Journal articles on the topic "Quantum recurrence"

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Kuznetsov, Vladimir. "Shock-wave model of the earthquake and Poincaré quantum theorem give an insight into the aftershock physics." E3S Web of Conferences 62 (2018): 03006. http://dx.doi.org/10.1051/e3sconf/20186203006.

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A fundamentally new model of aftershocks evident from the shock-wave model of the earthquake and Poincaré Recurrence Theorem [H. Poincare, Acta Mathematica 13, 1 (1890)] is proposed here. The authors (Recurrences in an isolated quantum many-body system, Science 2018) argue that the theorem should be formulated as “Complex systems return almost exactly into their initial state”. For the first time, this recurrence theorem has been demonstrated with complex quantum multi-particle systems. Our shock-wave model of an earthquake proceeds from the quantum entanglement of protons in hydrogen bonds of lithosphere material. Clearly aftershocks are quantum phenomena which mechanism follows the recurrence theorem.
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A. A, Berezin. "The Fermi-Pasta-Ulam Quantum Recurrence in The Dynamics of an Elementary Physical Vacuum Cell and The Problem of its Polarization." Journal of Energy Conservation 1, no. 3 (2020): 1–12. http://dx.doi.org/10.14302/issn.2642-3146.jec-20-3179.

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A model of a Quantum recurrence in the dynamics of an elementary physical vacuum cell within the framework of four coupled Shrodinger equations has been suggested. The model of an elementary vacuum cell shows that a Quantum recurrence which represents the dynamics of virtual transformations in the cell, qualitatively differs from that of Poincare and the Fermi-Pasta-Ulam. Whereas these recurrences develop in time or space, the Quantum recurrence develops in a sequence of Fourier images represented by non exponentially separating functions. The sequence experiences random energy additions but no exponential separation occurs. The Quantum recurrence can be defined as the most frequent array of Fourier images that appear in a certain quantum system during a period of its observation. Different scenarios of the Fourier images sequences interpreted as bosons (electron and positron) and fermions (photons) apearing in the solutions of the model demonstrate that during some periods of its observation they become indistinguishable. The quantum dynamics of every physical vacuum cell depends on the dynamics of many other vacuum cells interacting with it, thus the quasi periodicity (during the period of observation) of the Fourier images recurrence can have infinite periods of time and space and the amplitudes of the Fourier images can vary many orders in their magnitudes. Such recurrence times does not correspond even roughly to the Poincare recurrence time of an isolated macroscopic system. It reminds the behavior of spatially coupled standard mappings with different parameters. The amount of energy in the physical vacuum is infinite but extracting a part of it and converting, it into a time-space form requires a process of periodical transfer of the reversible microscopic system dynamics into that of a macroscopic system. This process can be realized through a resonant interaction between the classical and quantum recurrences developing in these two systems. However, a technical realization of this problem is problematic.
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Kiss, T., L. Kecskés, M. Štefaňák, and I. Jex. "Recurrence in coined quantum walks." Physica Scripta T135 (July 2009): 014055. http://dx.doi.org/10.1088/0031-8949/2009/t135/014055.

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Dhahri, Ameur, and Farrukh Mukhamedov. "Open quantum random walks, quantum Markov chains and recurrence." Reviews in Mathematical Physics 31, no. 07 (2019): 1950020. http://dx.doi.org/10.1142/s0129055x1950020x.

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In the present paper, we construct QMCs (Quantum Markov Chains) associated with Open Quantum Random Walks such that the transition operator of the chain is defined by OQRW and the restriction of QMC to the commutative subalgebra coincides with the distribution [Formula: see text] of OQRW. This sheds new light on some properties of the measure [Formula: see text]. As an example, we simply mention that the measure can be considered as a distribution of some functions of certain Markov processes. Furthermore, we study several properties of QMC and associated measures. A new notion of [Formula: see text]-recurrence of QMC is studied, and the relations between the concepts of recurrence introduced in this paper and the existing ones are established.
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Sikri, A. K., and M. L. Narchal. "Quantum recurrence in a quasibound system." Physical Review A 47, no. 6 (1993): 4605–7. http://dx.doi.org/10.1103/physreva.47.4605.

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Kryvohuz, Maksym, and Jianshu Cao. "Quantum recurrence from a semiclassical resummation." Chemical Physics 322, no. 1-2 (2006): 41–45. http://dx.doi.org/10.1016/j.chemphys.2005.07.021.

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Li, Chi Kwong, and Diane Christine Pelejo. "Decomposition of quantum gates." International Journal of Quantum Information 12, no. 01 (2014): 1450002. http://dx.doi.org/10.1142/s0219749914500026.

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A recurrence scheme is presented to decompose an n-qubit unitary gate to the product of no more than N(N - 1)/2 single qubit gates with small number of controls, where N = 2n. Detailed description of the recurrence steps and formulas for the number of k-controlled single qubit gates in the decomposition are given. Comparison of the result to a previous scheme is presented, and future research directions are discussed.
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Carbone, Raffaella, and Federico Girotti. "Absorption in Invariant Domains for Semigroups of Quantum Channels." Annales Henri Poincaré 22, no. 8 (2021): 2497–530. http://dx.doi.org/10.1007/s00023-021-01016-5.

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AbstractWe introduce a notion of absorption operators in the context of quantum Markov processes. The absorption problem in invariant domains (enclosures) is treated for a quantum Markov evolution on a separable Hilbert space, both in discrete and continuous times: We define a well-behaving set of positive operators which can correspond to classical absorption probabilities, and we study their basic properties, in general, and with respect to accessibility structure of channels, transience and recurrence. In particular, we can prove that no accessibility is allowed between the null and positive recurrent subspaces. In the case, when the positive recurrent subspace is attractive, ergodic theory will allow us to get additional results, in particular about the description of fixed points.
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ISAEV, A. P., and O. OGIEVETSKY. "BRST OPERATOR FOR QUANTUM LIE ALGEBRAS: EXPLICIT FORMULA." International Journal of Modern Physics A 19, supp02 (2004): 240–47. http://dx.doi.org/10.1142/s0217751x04020440.

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We continue our study of quantum Lie algebras, an important class of quadratic algebras arising in the Woronowicz calculus on a quantum group. Quantum Lie algebras are generalizations of Lie (super)algebras. Many notions from the theory of Lie (super)algebras admit "quantum" analogues. In particular, there is a BRST operator Q(Q2=0) which generates the differential in the Woronowicz theory and gives information about (co)homologies of quantum Lie algebras. In our previous papers a recurrence relation for the operator Q for quantum Lie algebras was given. Here we solve this recurrence relation and obtain an explicit formula for the BRST operator.
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Nakanishi, Noboru. "Quantum Recurrence Relation and Its Generating Functions." Publications of the Research Institute for Mathematical Sciences 49, no. 1 (2013): 177–88. http://dx.doi.org/10.4171/prims/101.

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Dissertations / Theses on the topic "Quantum recurrence"

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Werner, Albert H. [Verfasser]. "Localization and recurrence in quantum walks / Albert H. Werner." Hannover : Technische Informationsbibliothek und Universitätsbibliothek Hannover (TIB), 2013. http://d-nb.info/1046028499/34.

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GIROTTI, FEDERICO. "Absorption in Invariant Domains for quantum Markov evolutions." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2022. http://hdl.handle.net/10281/364224.

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Lo scopo del presente lavoro di tesi è lo studio delle dinamiche di assorbimento in domini invarianti (enclosures) per semigruppi markoviani quantistici. Il lavoro è diviso in tre capitoli. Nel primo capitolo ricordiamo le principali definizioni, proprietà e risultati riguardanti gli oggetti matematici con cui si avrà a che fare: W*-algebre, stati normali e semigruppi markoviani quantistici. Nel secondo capitolo introduciamo la nozione di operatore di assorbimento associato ad un determinato dominio invariante, che è la generalizzazione non commutativa delle probabilità di assorbimento; gli operatori di assorbimento condividono numerose proprietà con la loro controparte classica. Inizialmente mostriamo le prime proprietà degli operatori di assorbimento, specialmente l'interazione tra la loro risoluzione spettrale e la struttura di comunicazione del semigruppo. Successivamente spostiamo l'attenzione sullo studio della relazione tra operatori di assorbimento e ricorrenza; un risultato collaterale rilevante è che lo spazio ricorrente nullo è un dominio invariante e questo completa il risultato sulla decomposizione dei semigruppi markoviani quantistici nelle loro restrizioni transiente, ricorrente positiva e ricorrente nulla. Gli operatori di assorbimento sono anche punti fissi del semigruppo e, a condizione che lo spazio ricorrente sia assorbente, siamo in grado di fornire una descrizione dei punti fissi in termini degli operatori di assorbimento; questo permette di dedurre alcune utili proprietà dei punti fissi e dei domini invarianti. Inoltre, analizziamo il ruolo rivestito dagli operatori di assorbimento nel quadro della teoria ergodica e mostriamo la generalizzazione non commutativa del teorema ergodico per le catene di Markov. Concludiamo il capitolo presentando e studiando alcuni modelli concreti che possiedono delle dinamiche di assorbimento non banali e che variano tra dimensione finita o infinita e tempo discreto o continuo.<br>This thesis addresses the study of absorption dynamics in invariant domains (enclosures) for semigroups of quantum Markov maps. The work is divided in three chapters. In Chapter 1 we recall the main definitions, properties and results about the mathematical objects involved in this work: W*-algebras, normal states, semigroups of quantum Markov maps. In Chapter 2 we introduce the notion of absorption operator associated to an invariant domain, which is a generalization of absorption probabilities in the noncommutative setting; absorption operators turn out to share many remarkable features with their classical counterpart. We start showing some first properties of absorption operators, especially the interplay between their spectral resolution and the communication structure of the semigroup. We then move on to study the relationship between absorption operators and recurrence; as a relevant byproduct, we show that the null recurrent space is an enclosure and this allows to complete the result about the decomposition of semigroups of quantum Markov maps into their transient, positive recurrent and null recurrent restrictions. Absorption operators are also fixed points of the semigroup and, under the assumption that the recurrent space is absorbing, we are able to provide a description in terms of absorption operators of the fixed points set of the semigroup; this allows us to deduce some useful properties about fixed points and enclosures. Moreover, we analyze the role played by absorption operators in ergodic theory and we are able to prove a noncommutative generalization of the ergodic theorem for Markov chains. We conclude the chapter presenting and studying some concrete models showing non-trivial absorption dynamics and ranging from finite to infinite dimension, from discrete to continuous time. Chapter 3 is devoted to study the long-time behavior of the position process associated to a homogeneous open quantum random walk on a lattice with finite dimensional local space. We prove that the properly rescaled position process asymptotically approaches a mixture of Gaussian measures. We can generalize the existing central limit type results and give more explicit expressions for the involved asymptotic quantities, dropping any additional condition on the walk. We use deformation and spectral techniques, together with reducibility properties of the local map associated with the open quantum walk; a key role is also played by absorption operators. Further, we can provide a large deviation principle in the case of a positive recurrent local map and at least lower and upper bounds in the general case. Finally, we are able to show the almost sure convergence of the mean shift on the lattice to a random variable that we can completely describe.
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Ahamed, Woakil Uddin. "Quantum recurrent neural networks for filtering." Thesis, University of Hull, 2009. http://hydra.hull.ac.uk/resources/hull:2411.

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The essence of stochastic filtering is to compute the time-varying probability densityfunction (pdf) for the measurements of the observed system. In this thesis, a filter isdesigned based on the principles of quantum mechanics where the schrodinger waveequation (SWE) plays the key part. This equation is transformed to fit into the neuralnetwork architecture. Each neuron in the network mediates a spatio-temporal field witha unified quantum activation function that aggregates the pdf information of theobserved signals. The activation function is the result of the solution of the SWE. Theincorporation of SWE into the field of neural network provides a framework which is socalled the quantum recurrent neural network (QRNN). A filter based on this approachis categorized as intelligent filter, as the underlying formulation is based on the analogyto real neuron.In a QRNN filter, the interaction between the observed signal and the wave dynamicsare governed by the SWE. A key issue, therefore, is achieving a solution of the SWEthat ensures the stability of the numerical scheme. Another important aspect indesigning this filter is in the way the wave function transforms the observed signalthrough the network. This research has shown that there are two different ways (anormal wave and a calm wave, Chapter-5) this transformation can be achieved and thesewave packets play a critical role in the evolution of the pdf. In this context, this thesishave investigated the following issues: existing filtering approach in the evolution of thepdf, architecture of the QRNN, the method of solving SWE, numerical stability of thesolution, and propagation of the waves in the well. The methods developed in this thesishave been tested with relevant simulations. The filter has also been tested with somebenchmark chaotic series along with applications to real world situation. Suggestionsare made for the scope of further developments.
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Roche, Stéphan. "Contribution à l'étude théorique du transport électronique dans les quasicristaux." Université Joseph Fourier (Grenoble), 1996. http://www.theses.fr/1996GRE10208.

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Les quasicristaux sont des materiaux ordonnes presentant une coherence orientationnelle a longue distance sans periodicite de translation. Leurs proprietes electroniques sont spectaculaires. L'alliage quasicristallin a1pdre qui est compose de metaux bons conducteurs, presente pourtant une resistivite de l'ordre de grandeur de celle des semiconducteurs bien que sa densite d'etats au niveau de fermi soit typique d'un metal. Nous etudions le role des defauts structuraux phasons sur le transport quantique de chaines quasiperiodiques (de fibonacci) et de reseaux de fils interconnectes. Nous trouvons que certains phasons peuvent diminuer la resistance de landauer de ces systemes. Nous developpons une methode numerique de calcul de la formule de kubo-greenwood de la conductivite electronique a temperature et frequence nulle. Nous etudions le role conjoint d'un potentiel quasiperiodique et du desordre sur la diffusion quantique et la conductivite en fonction du niveau de fermi. L'etude montre les limites d'une approche de bloch-boltzmann ainsi que les inhomogeneitees de la conductivite en fonction du niveau de fermi (conductivite moins sensible au desordre dans les zones de pseudo-ga#p). Nous presentons enfin une etude numerique ainsi qu'une analyse simple du role de l'environnement local sur le couplage rkky entre impuretes magnetiques dans les quasicristaux ; nous montrons qu'une augmentation de la densite d'etats locale dans le voisinage d'une impurete magnetique induit une augmentation de son interaction rkky avec les autres impuretes magnetiques
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Cîrstea, Bogdan-Ionut. "Contribution à la reconnaissance de l'écriture manuscrite en utilisant des réseaux de neurones profonds et le calcul quantique." Electronic Thesis or Diss., Paris, ENST, 2018. http://www.theses.fr/2018ENST0059.

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Dans cette thèse, nous fournissons plusieurs contributions des domaines de l’apprentissage profond et du calcul quantique à la reconnaissance de l’écriture manuscrite. Nous commençons par intégrer certaines des techniques d’apprentissage profond les plus récentes(comme dropout, batch normalization et différentes fonctions d’activation) dans les réseaux de neurones à convolution et obtenons des meilleures performances sur le fameux jeu de données MNIST. Nous proposons ensuite des réseaux TSTN (Tied Spatial Transformer Networks), une variante des réseaux STN (Spatial Transformer Networks) avec poids partagés, ainsi que différentes variantes d’entraînement du TSTN. Nous présentons des performances améliorées sur une variante déformée du jeu de données MNIST. Dans un autre travail, nous comparons les performances des réseaux récurrents de neurones Associative Long Short-Term Memory (ALSTM), une architecture récemment introduite, par rapport aux réseaux récurrents de neurones Long Short-Term Memory (LSTM), sur le jeu de données de reconnaissance d’écriture arabe IFN-ENIT. Enfin, nous proposons une architecture de réseau de neurones que nous appelons réseau hybride classique-quantique, capable d’intégrer et de tirer parti de l’informatique quantique. Alors que nos simulations sont effectuées à l’aide du calcul classique (sur GPU), nos résultats sur le jeu de données Fashion-MNIST suggèrent que des améliorations exponentielles en complexité computationnelle pourraient être réalisables, en particulier pour les réseaux de neurones récurrents utilisés pour la classification de séquence<br>In this thesis, we provide several contributions from the fields of deep learning and quantum computation to handwriting recognition. We begin by integrating some of the more recent deep learning techniques (such as dropout, batch normalization and different activation functions) into convolutional neural networks and show improved performance on the well-known MNIST dataset. We then propose Tied Spatial Transformer Networks (TSTNs), a variant of Spatial Transformer Networks (STNs) with shared weights, as well as different training variants of the TSTN. We show improved performance on a distorted variant of the MNIST dataset. In another work, we compare the performance of Associative Long Short-Term Memory (ALSTM), a recently introduced recurrent neural network (RNN) architecture, against Long Short-Term Memory (LSTM), on the Arabic handwriting recognition IFN-ENIT dataset. Finally, we propose a neural network architecture, which we name a hybrid classical-quantum neural network, which can integrate and take advantage of quantum computing. While our simulations are performed using classical computation (on a GPU), our results on the Fashion-MNIST dataset suggest that exponential improvements in computational requirements might be achievable, especially for recurrent neural networks trained for sequence classification
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Jun, Kihwan. "Modified non-restoring division algorithm with improved delay profile." Thesis, 2011. http://hdl.handle.net/2152/ETD-UT-2011-05-3300.

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This thesis focuses on reducing the delay of non-restoring division. Although the digit recurrence division is lower in complexity and occupies a smaller area than division by convergence, it has a drawback: slow division speed. To mitigate this problem, two modification ideas are proposed here for the non-restoring division, the fastest division algorithm of the digit recurrence division methods. For the first proposed approach, the delay of the multiplexer for selecting the quotient digit and determining the way to calculate the partial remainder can be reduced through inverting the order of its flowchart. Second, one adder and one inverter can be removed by using a new quotient digit converter. To prove these ideas are valid, the simulation results comparing the modified non-restoring division and the standard non-restoring division are provided.<br>text
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Books on the topic "Quantum recurrence"

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Boudreau, Joseph F., and Eric S. Swanson. Numerical quadrature. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198708636.003.0005.

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This chapter discusses the numerous applications of numerical quadrature (integration) in classical mechanics, in semiclassical approaches to quantum mechanics, and in statistical mechanics; and then describes several ways of implementing integration in C++, for both proper and improper integrals. Various algorithms are described and analyzed, including simple classical quadrature algorithms as well as those enhanced with speedups and convergence tests. Classical orthogonal polynomials, whose properties are reviewed, are the basis of a sophisticated technique known as Gaussian integration. Practical implementations require the roots of these polynomials, so an algorithm for finding them from three-term recurrence relations is presented. On the computational side, the concept of polymorphism is introduced and exploited (prior to the detailed treatment later in the text). The nondimensionalization of physical problems, which is a common and important means of simplifying a problem, is discussed using Compton scattering and the Schrödinger equation as an example.
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Mann, Peter. Hamilton-Jacobi Theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0019.

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This chapter focuses on Liouville’s theorem and classical statistical mechanics, deriving the classical propagator. The terms ‘phase space volume element’ and ‘Liouville operator’ are defined and an n-particle phase space probability density function is constructed to derive the Liouville equation. This is deconstructed into the BBGKY hierarchy, and radial distribution functions are used to develop n-body correlation functions. Koopman–von Neumann theory is investigated as a classical wavefunction approach. The chapter develops an operatorial mechanics based on classical Hilbert space, and discusses the de Broglie–Bohm formulation of quantum mechanics. Partition functions, ensemble averages and the virial theorem of Clausius are defined and Poincaré’s recurrence theorem, the Gibbs H-theorem and the Gibbs paradox are discussed. The chapter also discusses commuting observables, phase–amplitude decoupling, microcanonical ensembles, canonical ensembles, grand canonical ensembles, the Boltzmann factor, Mayer–Montroll cluster expansion and the equipartition theorem and investigates symplectic integrators, focusing on molecular dynamics.
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Gandhi, Vaibhav. Brain-Computer Interfacing for Assistive Robotics: Electroencephalograms, Recurrent Quantum Neural Networks, and User-Centric Graphical Interfaces. Elsevier Science & Technology Books, 2014.

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Gandhi, Vaibhav. Brain-Computer Interfacing for Assistive Robotics: Electroencephalograms, Recurrent Quantum Neural Networks, and User-Centric Graphical Interfaces. Academic Press, 2014.

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Book chapters on the topic "Quantum recurrence"

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Bardet, Ivan, Hugo Bringuier, Yan Pautrat, and Clément Pellegrini. "Recurrence and Transience of Continuous-Time Open Quantum Walks." In Lecture Notes in Mathematics. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-28535-7_18.

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Sato, Ken-Iti, and Kouji Yamamuro. "Recurrence-Transience for Self-similar Additive Processes Associated with Stable Distributions." In Recent Developments in Infinite-Dimensional Analysis and Quantum Probability. Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-0842-6_27.

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Zak, Michail, and Colin P. Williams. "Quantum Recurrent Networks for Simulating Stochastic Processes." In Quantum Computing and Quantum Communications. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/3-540-49208-9_5.

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Allauddin, Raheel, Stuart Boehmer, Elizabeth C. Behrman, Kavitha Gaddam, and James E. Steck. "Quantum Simulataneous Recurrent Networks for Content Addressable Memory." In Quantum Inspired Intelligent Systems. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-78532-3_3.

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Combescure, Monique. "Recurrent Versus Diffusive Quantum Behavior for Time Dependent Hamiltonians." In Operator Calculus and Spectral Theory. Birkhäuser Basel, 1992. http://dx.doi.org/10.1007/978-3-0348-8623-9_2.

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Šponer, Jiří, Judit E. Šponer, and Neocles B. Leontis. "Quantum Chemical Studies of Recurrent Interactions in RNA 3D Motifs." In Nucleic Acids and Molecular Biology. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-25740-7_12.

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Pleutin, Stéphane, Eric Jeckelmann, Miguel A. Martín-Delgado, and German Sierra. "Recurrent Variational Approach Applied to the Electronic Structure of Conjugated Polymers." In New Trends in Quantum Systems in Chemistry and Physics. Springer Netherlands, 2000. http://dx.doi.org/10.1007/0-306-46950-2_10.

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Accardi, L., and D. Koroliuk. "QUANTUM MARKOV CHAINS : THE RECURRENCE PROBLEM." In Quantum Probability and Related Topics. WORLD SCIENTIFIC, 1991. http://dx.doi.org/10.1142/9789814360203_0003.

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Bartková, Renáta, Beloslav Riečan, and Anna Tirpáková. "Limit Theorems." In Probability Theory for Fuzzy Quantum Spaces with Statistical Applications. BENTHAM SCIENCE PUBLISHERS, 2017. http://dx.doi.org/10.2174/9781681085388117010007.

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In this chapter we introduce selected limit theorems on fuzzy quantum space, namely Egorov’s theorem, Central limit theorem, Weak and strong law of large numbers, and extreme value theorems for fuzzy quantum space. We also study here the Ergodic theory for fuzzy quantum space and Ergodic theorems and Poincaré recurrence theorems for fuzzy quantum dynamical systems, the Hahn-Jordan decomposition and Lebesgue decomposition for fuzzy quantum space.
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Gandhi, Vaibhav. "Fundamentals of Recurrent Quantum Neural Networks." In Brain-Computer Interfacing for Assistive Robotics. Elsevier, 2015. http://dx.doi.org/10.1016/b978-0-12-801543-8.00003-x.

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Conference papers on the topic "Quantum recurrence"

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Nitsche, Thomas, Regina Kruse, Linda Sansoni, et al. "Probing the measurement process in DTQW via recurrence." In Quantum Information and Measurement. OSA, 2017. http://dx.doi.org/10.1364/qim.2017.qt5a.5.

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Ruan, Liangzhong, Wenhan Dai, and Moe Z. Win. "Analysis of Efficient Recurrence Quantum Entanglement Distillation." In 2016 IEEE Globecom Workshops (GC Wkshps). IEEE, 2016. http://dx.doi.org/10.1109/glocomw.2016.7848836.

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Ruan, Liangzhong, Wenhan Dai, and Moe Z. Win. "Efficient Recurrence Quantum Distillation Algorithm for Phase-Damping Channel." In 2015 IEEE Globecom Workshops (GC Wkshps). IEEE, 2015. http://dx.doi.org/10.1109/glocomw.2015.7413964.

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Erkintalo, Miro, Goery Genty, Benjamin Wetzel, and John M. Dudley. "Frequencydoubling and recurrence phenomena in Akhmediev breathers pulse trains." In 12th European Quantum Electronics Conference CLEO EUROPE/EQEC. IEEE, 2011. http://dx.doi.org/10.1109/cleoe.2011.5943560.

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Vahala, George, Jeffrey Yepez, Linda Vahala, Min Soe, and Sean Ziegeler. "Poincare recurrence and intermittent destruction of the quantum Kelvin wave cascade in quantum turbulence." In SPIE Defense, Security, and Sensing, edited by Eric J. Donkor, Andrew R. Pirich, and Howard E. Brandt. SPIE, 2010. http://dx.doi.org/10.1117/12.850576.

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Mussot, Arnaud, Pascal Szriftgiser, Corentin Naveau, et al. "Observation of broken symmetry in the modulation instability recurrence." In 2017 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC). IEEE, 2017. http://dx.doi.org/10.1109/cleoe-eqec.2017.8087848.

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Pierangeli, D., M. Flammini, L. Zhang, et al. "Fermi-Pasta-Ulam-Tsingou Recurrence in Spatial Optical Dynamics." In 2019 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC). IEEE, 2019. http://dx.doi.org/10.1109/cleoe-eqec.2019.8872344.

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Joneckis, Lance G., and Jeffrey H. Shapiro. "Classical and quantum noise transformations generated by a Kerr nonlinearity." In OSA Annual Meeting. Optica Publishing Group, 1991. http://dx.doi.org/10.1364/oam.1991.mo5.

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The Ken nonlinearity is the source of important phenomena in both classical and quantum optics. Previously we had shown that a material dependent time constant plays a pivotal role in the quantum noise transformations produced by the Kerr nonlinearity.1 In that work, we presented the classical and quantum noise correlations for propagation of an initially phase-insensitive beam through a lossless, dispersionless, Kerr medium. In the present paper, we extend the earlier work to an arbitrary Gaussian input state. Central to both developments is the inclusion of a coarse grained time constant, τ q , which models the non-instantaneous nature of the Kerr nonlinearity. Output spectra based on Gaussian as well as other types of input spectra are presented. Also predicted is a quantum recurrence length, equal to an interaction length which yields a 2π nonlinear phase shift for an energy density of the 1 photon/cτ q m. The possibility of experimental verification of this theory is also discussed.
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9

Kecskés, L., T. Kiss, M. Štefaňak, and I. Jex. "The role of measurement in the recurrence property of discrete timed quantum walks." In SPIE Optics + Optoelectronics, edited by Ivan Prochazka and Jaromír Fiurásek. SPIE, 2011. http://dx.doi.org/10.1117/12.886813.

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10

Mussot, A., A. Kudlinski, M. Droques, P. Szriftgiser, and N. Akhmediev. "Appearances and disappearances of Fermi Pasta Ulam recurrence in nonlinear fiber optics." In 2013 Conference on Lasers & Electro-Optics Europe & International Quantum Electronics Conference CLEO EUROPE/IQEC. IEEE, 2013. http://dx.doi.org/10.1109/cleoe-iqec.2013.6800835.

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Reports on the topic "Quantum recurrence"

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Perdigão, Rui A. P. New Horizons of Predictability in Complex Dynamical Systems: From Fundamental Physics to Climate and Society. Meteoceanics, 2021. http://dx.doi.org/10.46337/211021.

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Discerning the dynamics of complex systems in a mathematically rigorous and physically consistent manner is as fascinating as intimidating of a challenge, stirring deeply and intrinsically with the most fundamental Physics, while at the same time percolating through the deepest meanders of quotidian life. The socio-natural coevolution in climate dynamics is an example of that, exhibiting a striking articulation between governing principles and free will, in a stochastic-dynamic resonance that goes way beyond a reductionist dichotomy between cosmos and chaos. Subjacent to the conceptual and operational interdisciplinarity of that challenge, lies the simple formal elegance of a lingua franca for communication with Nature. This emerges from the innermost mathematical core of the Physics of Coevolutionary Complex Systems, articulating the wealth of insights and flavours from frontier natural, social and technical sciences in a coherent, integrated manner. Communicating thus with Nature, we equip ourselves with formal tools to better appreciate and discern complexity, by deciphering a synergistic codex underlying its emergence and dynamics. Thereby opening new pathways to see the “invisible” and predict the “unpredictable” – including relative to emergent non-recurrent phenomena such as irreversible transformations and extreme geophysical events in a changing climate. Frontier advances will be shared pertaining a dynamic that translates not only the formal, aesthetical and functional beauty of the Physics of Coevolutionary Complex Systems, but also enables and capacitates the analysis, modelling and decision support in crucial matters for the environment and society. By taking our emerging Physics in an optic of operational empowerment, some of our pioneering advances will be addressed such as the intelligence system Earth System Dynamic Intelligence and the Meteoceanics QITES Constellation, at the interface between frontier non-linear dynamics and emerging quantum technologies, to take the pulse of our planet, including in the detection and early warning of extreme geophysical events from Space.
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