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Relevant bibliographies by topics / Quantum operator algebras / Dissertations / Theses

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Dissertations / Theses on the topic 'Quantum operator algebras'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Oerder, Kyle. "Operator algebras and quantum information." Diss., University of Pretoria, 2020. http://hdl.handle.net/2263/75515.

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The C*-algebra representation of a physical system provides an ideal backdrop for the study of bipartite entanglement, as a natural definition of separability emerges as a direct consequence of the non-abelian nature of quantum systems under this formulation. The focus of this dissertation is the quantification of entanglement for infinite dimensional systems. The use of Choquet’s theory of boundary integrals allows for an integral representation of the states on a C*-algebra and subsequent adaptation of the Convex Roof Measures to infinite dimensional systems. Another measure of entanglement,

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2

Das, Bata Krishna. "Quantum stochastic analysis in Banach space and operator space." Thesis, Lancaster University, 2012. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.660115.

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3

Sotelo-Campos, J. "An application of operator *-algebras to the theory of quantum measurement." Thesis, Open University, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.379797.

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4

Melo, Nolmar. "Uma álgebra de Clifford de assinatura (n,3n) e os operadores densidade da teoria da informação quântica." [s.n.], 2011. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306804.

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Orientador: Carlile Campos Lavor<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica<br>Made available in DSpace on 2018-08-17T14:47:27Z (GMT). No. of bitstreams: 1 Melo_Nolmar_D.pdf: 2834013 bytes, checksum: 5639deabb953aa019e4e1c9c905e856d (MD5) Previous issue date: 2011<br>Resumo: Este trabalho apresenta uma linguagem algébrica para dois elementos básicos da teoria da informação quântica (os bits quânticos e os operadores densidade), baseada nas propriedades de uma álgebra de Clifford de assinatura (n,3n). Demonstramos que

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5

Van, De Ven Christiaan Jozef Farielda. "Quantum Systems and their Classical Limit A C*- Algebraic Approach." Doctoral thesis, Università degli studi di Trento, 2021. http://hdl.handle.net/11572/324358.

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In this thesis we develop a mathematically rigorous framework of the so-called ''classical limit'' of quantum systems and their semi-classical properties. Our methods are based on the theory of strict, also called C*- algebraic deformation quantization. Since this C*-algebraic approach encapsulates both quantum as classical theory in one single framework, it provides, in particular, an excellent setting for studying natural emergent phenomena like spontaneous symmetry breaking (SSB) and phase transitions typically showing up in the classical limit of quantum theories. To this end, several tech

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6

de, Silva Nadish. "Contextuality and noncommutative geometry in quantum mechanics." Thesis, University of Oxford, 2015. http://ora.ox.ac.uk/objects/uuid:1ca8995d-b562-426a-ab89-afab3a18dda2.

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It is argued that the geometric dual of a noncommutative operator algebra represents a notion of quantum state space which differs from existing notions by representing observables as maps from states to outcomes rather than from states to distributions on outcomes. A program of solving for an explicitly geometric manifestation of quantum state space by adapting the spectral presheaf, a construction meant to analyze contextuality in quantum mechanics, to derive simple reconstructions of noncommutative topological tools from their topological prototypes is presented. We associate to each unital

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7

Bostelmann, Henning. "Lokale Algebren und Operatorprodukte am Punkt." Doctoral thesis, [S.l.] : [s.n.], 2000. http://deposit.ddb.de/cgi-bin/dokserv?idn=961247584.

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8

Bardet, Ivan. "Émergence de dynamiques classiques en probabilité quantique." Thesis, Lyon, 2016. http://www.theses.fr/2016LYSE1071/document.

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Cette thèse se consacre à l'étude de certaines passerelles existantes entre les probabilités dîtes classiques et la théorie des systèmes quantiques ouverts. Le but de la première partie de ce manuscrit est d'étudier l'émergence de bruits classiques dans l'équation de Langevin quantique. Cette équation sert à modéliser l'action d'un bain quantique sur un petit système dans l'approximation markovienne. L'analogue en temps discret de cette équation est décrit par le schéma des interactions quantiques répétées étudier par Stéphane Attal et Yan Pautrat. Dans des travaux antérieurs, Attal et ses col

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9

Lemeux, Francois. "Sur la théorie des représentations et les algèbres d'opérateurs des produits en couronnes libres." Thesis, Besançon, 2014. http://www.theses.fr/2014BESA2008/document.

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Dans cette thèse, on étudie les propriétés combinatoires, algébriques et analytiques de certains groupes quantiques compacts libres. on prouve au chapitre 2 que les duaux des groupes quantiques de réflexions complexes possèdent, dans la plus part des cas, la propriété d'approximation de Haagerup. au chapitre 3, on décrit les règles de fusion du produit en, couronne libre d'un groupe discret par le groupe quantique des permutations. Pour cela on détermine les espaces d'entrelaceurs entre certaines coreprésentation "basiques" de ces produits en couronnes libres en termes de partitions non croisé

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10

Lechner, Gandalf. "On the construction of quantum field theories with factorizing S-matrices." Doctoral thesis, [S.l.] : [s.n.], 2006. http://webdoc.sub.gwdg.de/diss/2006/lechner.

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11

Ribeiro, Pedro Lauridsen. "Aspectos estruturais e dinâmicos da correspondência AdS/CFT: Uma abordagem rigorosa." Universidade de São Paulo, 2007. http://www.teses.usp.br/teses/disponiveis/43/43134/tde-14012008-131931/.

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Elaboramos um estudo detalhado de alguns aspectos d(e uma versão d)a correspondência AdS/CFT, conjeturada por Maldacena e Witten, entre teorias quânticas de campo num fundo gravitacional dado por um espaço-tempo assintoticamente anti-de Sitter (AAdS), e teorias quânticas de campos conformalmente covariantes no infinito conforme (no sentido de Penrose) deste espaço-tempo, aspectos estes: (a) independentes d(o par d)e modelos específicos em Teoria Quântica de Campos, e (b) suscetíveis a uma reformulação em moldes matematicamente rigorosos. Adotamos como ponto de partida o teorema demonstrado p

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12

Bär, Christian, and Nicolas Ginoux. "Classical and quantum fields on Lorentzian manifolds." Universität Potsdam, 2012. http://opus.kobv.de/ubp/volltexte/2012/5997/.

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We construct bosonic and fermionic locally covariant quantum fields theories on curved backgrounds for large classes of fields. We investigate the quantum field and n-point functions induced by suitable states.

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13

Di, Salvo Rosa. "Dynamics of Classical Systems in the Operator Algebra of Quantum Mechanics." Doctoral thesis, Università di Catania, 2017. http://hdl.handle.net/10761/3846.

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The use of the formalism and the operatorial techniques typical of quantum mechanics proved in recent years to be an effective approach for the description of even macroscopic systems characterized by complex interactions in several contexts with interesting applications both in the bioecological and in the socioeconomic area. The operatorial approach, based on raising and lowering operators, especially using the number representation, provides useful tools for modeling collective dynamics of spatially distributed physical systems in a completely general and precise way. Quantum-like models (n

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14

Xia, Runlian. "Les espaces de Hardy locaux à valeurs opératorielle et les applications sur les opérateurs pseudo-différentiels." Thesis, Bourgogne Franche-Comté, 2017. http://www.theses.fr/2017UBFCD084/document.

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Le but de cette thèse est d’étudier l’analyse sur les espaces hpc(Rd,M), la version locale des espaces de Hardy à valeurs opératorielles construits par Tao Mei. Les espaces de Hardy locaux à valeurs opératorielles sont définis par les g-fonctions de Littlewood-Paley tronquées et les fonctions intégrables de Lusin tronquées associées au noyau de Poisson. Nous développons la théorie de Calderón-Zygmund sur hpc(Rd,M); nous étudions la dualité hpcbmocq et l’interpolation. D’après ces résultats, nous obtenons la caractérisation générale de hpc(Rd,M) en remplaçant le noyau de Poisson par des fonctio

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15

Majid, Shahn, and Andreas Cap@esi ac at. "Riemannian Geometry of Quantum Groups and Finite Groups with." ESI preprints, 2000. ftp://ftp.esi.ac.at/pub/Preprints/esi902.ps.

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16

Marie, Valentin. "représentations projectives et groupes quantiques localement compacts." Electronic Thesis or Diss., Reims, 2024. http://www.theses.fr/2024REIMS012.

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Cette thèse exploite un résultat de De Commer pour produire des groupes quantiques localement compacts (au sens des algèbres de von Neumann) à partir d'un groupe classique. Il s'agit de déformer la bigèbre de von Neumann d'un groupe localement compact à l'aide d'un opérateur de convolution (2-cocycle dual unitaire). L'objectif principal de cette thèse est de construire de tels 2-cocycles duaux, en généralisant au cas des représentations projectives un articlede Bieliavsky, Gayral, Neshveyev, Tuset.Les groupes nous intéressant sont des produits semi-directs devant vérifier la condition dite d'o

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17

Zucca, Alessandro. "Dirac Operators on Quantum Principal G-Bundles." Doctoral thesis, SISSA, 2013. http://hdl.handle.net/20.500.11767/4108.

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In this thesis I discuss some results on the noncommutative (spin) geometry of quantum principal G-bundles. The first part of the thesis is devoted to the study of spectral triples over toral bundles; extending some recent results by L. Dabrowski and A. Sitarz, we introduce the notion of projectable spectral triple for T^n-bundles. Moreover, we work out twisted Dirac operators. We discuss, in particular, the application of these results to noncommutative tori. In the second part of the thesis, instead, we work out a method for constructing real spectral triples over cleft quantum principal G-b

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18

Kaminski, Diana [Verfasser], Christian [Akademischer Betreuer] Fleischhack, and Joachim [Akademischer Betreuer] Hilgert. "Some operator algebraic techniques in Loop Quantum Gravity / Diana Kaminski. Betreuer: Christian Fleischhack ; Joachim Hilgert." Paderborn : Universitätsbibliothek, 2011. http://d-nb.info/1036228002/34.

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19

Louise, Stéphane. "Calcul de majorants sûrs de temps d'exécution au pire pour des tâches d'applications temps-réels critiques, pour des systèmes disposants de caches mémoire." Phd thesis, Université Paris Sud - Paris XI, 2002. http://tel.archives-ouvertes.fr/tel-00695930.

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Ce mémoire présente une nouvelle approche pour le calcul de temps d'exécution au pire (WCET) de tâche temps-réel critique, en particulier en ce qui concerne les aléas dus aux caches mémoire. Le point général est fait sur la problématique et l'état de l'art en la matière, mais l'accent est mis sur la théorie elle-même et son formalisme, d'abord dans le cadre monotâche puis dans le cadre multitâche. La méthode utilisée repose sur une technique d'interprétation abstraite, comme la plupart des autres méthodes de calcul de WCET, mais le formalisme est dans une approche probabiliste (bien que déterm

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20

Lundholm, Douglas. "Zero-energy states in supersymmetric matrix models." Doctoral thesis, KTH, Matematik (Avd.), 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-12846.

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The work of this Ph.D. thesis in mathematics concerns the problem of determining existence, uniqueness, and structure of zero-energy states in supersymmetric matrix models, which arise from a quantum mechanical description of the physics of relativistic membranes, reduced Yang-Mills gauge theory, and of nonperturbative features of string theory, respectively M-theory. Several new approaches to this problem are introduced and considered in the course of seven scientific papers, including: construction by recursive methods (Papers A and D), deformations and alternative models (Papers B and C), a

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21

Maillet, Jean-Michel. "Structures algébriques et intégrabilité en théorie classique et quantique des champs." Paris 6, 1986. http://www.theses.fr/1986PA066124.

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On présente l'élaboration et le développement des structures intégrables nouvelles en théorie classique et quantique des champs et leurs applications à des modèles pour lesquels les méthodes et structures usuelles ne peuvent être appliquées.

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22

Silva, Cristhiano André Gamarano Duarte Carneiro. "Sobre a catálise em sistemas quânticos." Universidade Federal de Juiz de Fora (UFJF), 2013. https://repositorio.ufjf.br/jspui/handle/ufjf/3246.

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Submitted by Renata Lopes (renatasil82@gmail.com) on 2016-12-22T14:29:13Z No. of bitstreams: 1 cristhianoandregamaranoduartecarneirosilva.pdf: 577501 bytes, checksum: 1d4ac19d80966a6129b9b190ed9b7eec (MD5)<br>Approved for entry into archive by Adriana Oliveira (adriana.oliveira@ufjf.edu.br) on 2017-02-07T13:10:11Z (GMT) No. of bitstreams: 1 cristhianoandregamaranoduartecarneirosilva.pdf: 577501 bytes, checksum: 1d4ac19d80966a6129b9b190ed9b7eec (MD5)<br>Made available in DSpace on 2017-02-07T13:10:12Z (GMT). No. of bitstreams: 1 cristhianoandregamaranoduartecarneirosilva.pdf: 577501 bytes,

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23

Brannan, Michael Paul. "On the Reduced Operator Algebras of Free Quantum Groups." Thesis, 2012. http://hdl.handle.net/1974/7342.

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In this thesis, we study the operator algebraic structure of various classes of unimodular free quantum groups, including thefree orthogonal quantum groups $O_n^+$, free unitary quantum groups $U_n^+$, and trace-preserving quantum automorphism groups associated to finite dimensional C$^\ast$-algebras. The first objective of this thesis to establish certain approximation properties for the reduced operator algebras associated to the quantum groups $\G = O_n^+$ and $U_n^+$, ($n \ge 2$). Here we prove that the reduced von Neumann algebras $L^\infty(\G)$ have the Haagerup approximation property

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24

(10723929), Roy M. Araiza. "On the Abstract Structure of Operator Systems and Applications to Quantum Information Theory." Thesis, 2021.

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We introduce the notion of an abstract projection in an operator system and when a finite number of positive contractions in an operator system are all simultaneously abstract projections in that operator system. We extend this notion to Archimedean order unit spaces where we prove when a positive contraction is an abstract projection in some operator system, and furthermore when a finite number of positive contractions in an Archimedean order unit space are all simultaneously abstract projections in a single operator system. These methods are then used to provide new characterizations of both

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25

McBride, Matthew Scott. "D-bar and Dirac Type Operators on Classical and Quantum Domains." 2012. http://hdl.handle.net/1805/2931.

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Indiana University-Purdue University Indianapolis (IUPUI)<br>I study d-bar and Dirac operators on classical and quantum domains subject to the APS boundary conditions, APS like boundary conditions, and other types of global boundary conditions. Moreover, the inverse or inverse modulo compact operators to these operators are computed. These inverses/parametrices are also shown to be bounded and are also shown to be compact, if possible. Also the index of some of the d-bar operators are computed when it doesn't have trivial index. Finally a certain type of limit statement can be said bet

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26

Ciosmak, Paweł. "On quantum curves, Airy structures and supersymmetry." Doctoral thesis, 2020. https://depotuw.ceon.pl/handle/item/3776.

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In this thesis we develop theories of quantum curves, topological recursion and quantum Airy structures. These notions and various partition functions that they compute are intricately related with each other. They enable computation of various interesting invariants in mathematics and physics. Two main aspects of this thesis are the following: mathematically rigorous treatment of the quantum curves and generalisation of these notions to the supersymmetric case. We start our considerations by studying the relationship between Virasoro singular vectors and quantum curves. This association, rece

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27

Zhao, Wenhua. "Generalizations of two-dimensional conformal field theory : some results on jacobians and intersection numbers /." 2000. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:9965182.

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28

Sajedi, Masoumeh. "Classification of separable superintegrable systems of order four in two dimensional Euclidean space and algebras of integrals of motion in one dimension." Thèse, 2019. http://hdl.handle.net/1866/21748.

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29

Dybalski, Wojciech Jan. "Spectral theory of automorphism groups and particle structures in quantum field theory." Doctoral thesis, 2008. http://hdl.handle.net/11858/00-1735-0000-0006-B481-4.

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30

Le, Roux Jaco. "Linear optical quantum computing, associated Hamilton operators and computer algebra implementations." Thesis, 2012. http://hdl.handle.net/10210/5000.

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M.Sc.<br>In this thesis we study the techniques used to calculate the Hamilton operators related to linear optical quantum computing. We also discuss the basic building blocks of linear optical quantum computing (LOQC) by looking at the logic gates and the physical instruments of which they are made.

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31

Cadamuro, Daniela. "A Characterization Theorem for Local Operators in Factorizing Scattering Models." Doctoral thesis, 2012. http://hdl.handle.net/11858/00-1735-0000-000D-F097-A.

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