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Relevant bibliographies by topics / Foundations of quantum theory

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Academic literature on the topic 'Foundations of quantum theory'

Author: Grafiati

Published: 4 June 2021

Last updated: 9 February 2022

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Journal articles on the topic "Foundations of quantum theory"

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Barnum, Howard, Stephanie Wehner, and Alexander Wilce. "Introduction: Quantum Information Theory and Quantum Foundations." Foundations of Physics 48, no. 8 (2018): 853–56. http://dx.doi.org/10.1007/s10701-018-0188-6.

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Sudbery, Tony. "FOUNDATIONS OF QUANTUM GROUP THEORY." Bulletin of the London Mathematical Society 29, no. 6 (1997): 758–59. http://dx.doi.org/10.1112/s0024609397223283.

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Lee, Y. P. "Quantum $K$ -theory, I: Foundations." Duke Mathematical Journal 121, no. 3 (2004): 389–424. http://dx.doi.org/10.1215/s0012-7094-04-12131-1.

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D’Ariano, Giacomo Mauro, and Paolo Perinotti. "Quantum Information and Foundations." Entropy 22, no. 1 (2019): 22. http://dx.doi.org/10.3390/e22010022.

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Falkenburg, Brigitte, Harvey R. Brown, and Rom Harre. "Philosophical Foundations of Quantum Field Theory." Noûs 25, no. 4 (1991): 580. http://dx.doi.org/10.2307/2216085.

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Mittelstaedt, Peter. "Conceptual Foundations of Quantum Field Theory." Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 33, no. 1 (2002): 128–31. http://dx.doi.org/10.1016/s1355-2198(01)00042-9.

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Huggett, N. "Philosophical foundations of quantum field theory." British Journal for the Philosophy of Science 51, no. 4 (2000): 617–37. http://dx.doi.org/10.1093/bjps/51.4.617.

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Isaev, Petr S., and Elena A. Mamchur. "Conceptual Foundations of Quantum Field Theory." Physics-Uspekhi 43, no. 9 (2000): 953–58. http://dx.doi.org/10.1070/pu2000v043n09abeh000829.

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CHANG, L. N., Z. LEWIS, D. MINIC, and T. TAKEUCHI. "QUANTUM SYSTEMS BASED UPON GALOIS FIELDS — FROM SUB-QUANTUM TO SUPER-QUANTUM CORRELATIONS." International Journal of Modern Physics A 29, no. 03n04 (2014): 1430006. http://dx.doi.org/10.1142/s0217751x14300063.

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In this paper, we describe our recent work on discrete quantum theory based on Galois fields. In particular, we discuss how discrete quantum theory sheds new light on the foundations of quantum theory and we review an explicit model of super-quantum correlations we have constructed in this context. We also discuss the larger questions of the origins and foundations of quantum theory, as well as the relevance of super-quantum theory for the quantum theory of gravity.

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Felline, Laura. "Quantum Information Theory and the Foundations of Quantum Mechanics." International Studies in the Philosophy of Science 28, no. 3 (2014): 349–52. http://dx.doi.org/10.1080/02698595.2014.953348.

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Dissertations / Theses on the topic "Foundations of quantum theory"

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GalvaÌƒo, Ernesto Fagundes. "Foundations od quantum theory and quantum information applications." Thesis, University of Oxford, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.249255.

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Timpson, Christopher Gordon. "Quantum information theory and the foundations of quantum mechanics." Thesis, University of Oxford, 2004. http://ora.ox.ac.uk/objects/uuid:457a0257-016d-445d-a6b2-f1bdd2648523.

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This thesis is a contribution to the debate on the implications of quantum information theory for the foundational problems of quantum mechanics. In Part I an attempt is made to shed some light on the nature of information and quantum information theory. It is emphasized that the everyday notion of information is to be firmly distinguished from the technical notions arising in information theory; however it is maintained that in both settings ‘information’ functions as an abstract noun, hence does not refer to a particular or substance. The popular claim ‘Information is Physical’ is assessed and it is argued that this proposition faces a destructive dilemma. Accordingly, the slogan may not be understood as an ontological claim, but at best, as a methodological one. A novel argument is provided against Dretske’s (1981) attempt to base a semantic notion of information on ideas from information theory. The function of various measures of information content for quantum systems is explored and the applicability of the Shannon information in the quantum context maintained against the challenge of Brukner and Zeilinger (2001). The phenomenon of quantum teleportation is then explored as a case study serving to emphasize the value of recognising the logical status of ‘information’ as an abstract noun: it is argued that the conceptual puzzles often associated with this phenomenon result from the familiar error of hypostatizing an abstract noun. The approach of Deutsch and Hayden (2000) to the questions of locality and information flow in entangled quantum systems is assessed. It is suggested that the approach suffers from an equivocation between a conservative and an ontological reading; and the differing implications of each is examined. Some results are presented on the characterization of entanglement in the Deutsch-Hayden formalism. Part I closes with a discussion of some philosophical aspects of quantum computation. In particular, it is argued against Deutsch that the Church-Turing hypothesis is not underwritten by a physical principle, the Turing Principle. Some general morals are drawn concerning the nature of quantum information theory. In Part II, attention turns to the question of the implications of quantum information theory for our understanding of the meaning of the quantum formalism. Following some preliminary remarks, two particular information-theoretic approaches to the foundations of quantum mechanics are assessed in detail. It is argued that Zeilinger’s (1999) Foundational Principle is unsuccessful as a foundational principle for quantum mechanics. The information-theoretic characterization theorem of Clifton, Bub and Halvorson (2003) is assessed more favourably, but the generality of the approach is questioned and it is argued that the implications of the theorem for the traditional foundational problems in quantum mechanics remains obscure.

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Kestin, Gregory Michael. "Light-Shell Theory Foundations." Thesis, Harvard University, 2014. http://dissertations.umi.com/gsas.harvard:11596.

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We study the motivation and groundwork for the construction of a Light-Shell Effective Theory, an effective field theory for describing the matter emerging from high-energy collisions and the accompanying radiation. We begin in chapter 2 with a simple electrodynamics calculation to motivate the picture of the ``light-shell," in which all electric and magnetic fields lie on a spherical shell that moves outward at the speed of light. The result turns out to do more than motivate, as it also hints at an important feature of the theory, namely the gauge in which we subsequently choose to do calculations, called Light-Shell Gauge.<br>Physics

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Wallace, David. "Issues in the foundations of relativistic quantum theory." Thesis, University of Oxford, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.270178.

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Fernandes, Marco Cezar Barbosa. "Geometric algebras and the foundations of quantum theory." Thesis, Birkbeck (University of London), 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.283390.

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The difficulties associated with the quantization of the gravitational field suggests a modification of space-time is needed. For example at suffici~ly small length scales the geometry of space-time might better discussed in terms of a noncommutative algebra. In this thesis we discuss a particular example of a noncommutative algebra, namely the symplectic Schonberg algebra, which we treat as a geometric algebra. Thus our investigation has some features in common with recent work that explores how geometry can be formulated in terms of noncommutative structures. The symplectic Schonberg algebra is a geometric algebra associated with the covariant and the contravariant vectors of a general affine space. The "embedding" of this space in a noncommutative algebra leads us to a structure which we regard as a noncommutative affine geometry. The theory in question takes us naturally to stochastic elements without the usual ad-hoc assumptions concerning measurements in physical ensembles that are made in the usual interpretation of quantum mechanics. The probabilistic nature of space is obtained purely from the structure of this algebra. As a consequence, geometric objects like points, lines and etc acquire a kind of fuzzy character. This allowed us to construct the space of physical states within the algebra in terms of its minimum left-ideals as was proposed by Hiley and Frescura [1J. The elements of these ideals replace the ordinary point in the Cartesian geometry. The study of the main inner-automorphisms of the algebra gives rise to the representation of the symplectic group of linear classical canonical transformations. We show that this group acts on the minimum left-ideal of the algebra and in this case manifests itself as the metaplectic group, i.e the double covering of the symplectic group. Thus we are lead to the theory of symplectic spinors as minimum left-ideals in exactly the same way as the orthogonal spinors can be formulated in terms of minimum left-ideals in the Clifford algebra .. The theory of the automorphisms of the symplectic Schonberg algebra allows us to give a geometrical meaning to integral transforms such as: the Fourier transform, the real and complex Gauss Weierstrass transform, the Bargmann (3) transform and the Bilateral Laplace transform. We construct a technique for obtaining a realization of these algebraic transformations in terms of integral kernels. This gives immediately the Feynmann propagators of conventional non-relativistic quantum mechanics for Hamiltonians quadratic in momentum and position. This then links our approach to those used in quantum mechanics and optics. The link between the theory of this noncommutative geometric algebra and the theory of vector bundles is also discussed.

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Arafat, Sachi. "Foundations research in information retrieval inspired by quantum theory." Thesis, Connect to e-thesis, 2008. http://theses.gla.ac.uk/181/.

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Thesis (Ph.D.) - University of Glasgow, 2007.<br>Ph.D. thesis submitted to the Department of Computer Science, Faculty of Information and Mathematical Sciences, University of Glasgow, 2007. Includes bibliographical references. Print version also available.

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Saunders, Simon Wolfe. "The mathematical and philosophical foundations of quantum field theory." Thesis, King's College London (University of London), 1988. https://kclpure.kcl.ac.uk/portal/en/theses/the-mathematical-and-philosophical-foundations-of-quantum-field-theory(a36b5ec8-40ae-4ea6-98e3-4c81592a18e0).html.

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The thesis is primarily concerned with these objectives: to say what is a quantum field theory, and to explain why and how relativistic quantum field theory differs from non-relativistic quantum field theory, even in the free or weakly interacting (quasi-free) case. Following the ideas of Irving Segal, I shall establish that in this case there is an essential identity in structure of the non-relativistic and relativistic field theories. Novel but straightforward applications of this theory are made to the complex scalar field,and in relation to t.he Dirac hole theory. Although the structure of the relativistic and non-relativistic quasi-free theories is essentially identical, the concept of localization finds different expressions. This plays a fundamental role when interactions are introduced, and leads to two quite distinct notions of causality. I shall confine the detailed study to the massive scalar and spin 1/2 linear field theories, for the most part in the quasi-free case. Not even the latter are trivial, for they descri,be the observed phenomenology and are therefore of central empistemological importance to relativistic quantum theory. I al so advance a general interpretat i ve framework for the philosophical analysis of quantum theory. This is essent ially a real ist interpretation founded on abstract • C -algebras, and it is applied to the measurement problem. The physical and mathematical theories that I draw upon are developed in a historical context. The mathematical theory is presented in a largely heuristic way.

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Allen, John-Mark. "Reality, causality, and quantum theory." Thesis, University of Oxford, 2017. http://ora.ox.ac.uk/objects/uuid:01413eef-0944-4ec5-ad53-ac8378bcf4be.

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Quantum theory describes our universe incredibly successfully. To our classically-inclined brains, however, it is a bizarre description that requires a reimagining of what fundamental reality, or 'ontology', could look like. This thesis examines different ontological features in light of the success of quantum theory, what it requires, and what it rules out. While these investigations are primarily foundational, they also have relevance to quantum information, quantum communication, and experiments on quantum systems. The way that quantum theory describes the state of a system is one of its most unintuitive features. It is natural, therefore, to ask whether a similarly strange description of states is required on an ontological level. This thesis proves that almost all quantum superposition states for d &GT; 3 dimensions must be real - that is, present in the ontology in a well-defined sense. This is a strong requirement which prevents intuitive explanations of the many quantum phenomena which are based on superpositions. A new theorem is also presented showing that quantum theory is incompatible with macro-realist ontologies, where certain physical quantities must always have definite values. This improves on the Leggett-Garg argument, which also aims to prove incompatibility with macro-realism but contains loopholes. Variations on both of these results that are error-tolerant (and therefore amenable to experimentation) are presented, as well as numerous related theorems showing that the ontology of quantum states must be somewhat similar to the quantum states themselves in various specific ways. Extending these same methods to quantum communication, a simple proof is found showing that an exponential number of classical bits are required to communicate a linear number of qubits. That is, classical systems are exponentially bad at storing quantum data. Causal influences are another part of ontology where quantum theory demands a revision of our classical notions. This follows from the outcomes of Bell experiments, as rigorously shown in recent analyses. Here, the task of constructing a native quantum framework for reasoning about causal influences is tackled. This is done by first analysing the simple example of a common cause, from which a quantum version of Reichenbach's principle is identified. This quantum principle relies on an identification of quantum conditional independence which can be defined in four ways, each naturally generalising a corresponding definition for classical conditional independence. Not only does this allow one to reason about common causes in a quantum experiments, but it can also be generalised to a full framework of quantum causal models (mirroring how classical causal models generalise Reichenbach's principle). This new definition of quantum causal models is illustrated by examples and strengthened by it's foundation on a robust quantum Reichenbach's principle. An unusual, but surprisingly fruitful, setting for considering quantum ontology is found by considering time travel to the past. This provides a testbed for different ontological concepts in quantum theory and new ways to compare classical and quantum frameworks. It is especially useful for comparing computational properties. In particular, time travel introduces non-linearity to quantum theory, which brings (sometimes implicit) ontological assumptions to the fore while introducing strange new abilities. Here, a model for quantum time travel is presented which arguably has fewer objectionable features than previous attempts, while remaining similarly well-motivated. This model is discussed and compared with previous quantum models, as well as with the classical case. Together, these threads of investigation develop a better understanding of how quantum theory affects possible ontologies and how ontological prejudices influence quantum theory.

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Carruth, Nathan Thomas. "Classical Foundations for a Quantum Theory of Time in a Two-Dimensional Spacetime." DigitalCommons@USU, 2010. https://digitalcommons.usu.edu/etd/708.

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We consider the set of all spacelike embeddings of the circle S1 into a spacetime R1 × S1 with a metric globally conformal to the Minkowski metric. We identify this set and the group of conformal isometries of this spacetime as quotients of semidirect products involving diffeomorphism groups and give a transitive action of the conformal group on the set of spacelike embeddings. We provide results showing that the group of conformal isometries is a topological group and that its action on the set of spacelike embeddings is continuous. Finally, we point out some directions for future research.

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Al-Safi, Sabri Walid. "Quantum theory from the perspective of general probabilistic theories." Thesis, University of Cambridge, 2015. https://www.repository.cam.ac.uk/handle/1810/247218.

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This thesis explores various perspectives on quantum phenomena, and how our understanding of these phenomena is informed by the study of general probabilistic theories. Particular attention is given to quantum nonlocality, and its interaction with areas of physical and mathematical interest such as entropy, reversible dynamics, information-based games and the idea of negative probability. We begin with a review of non-signaling distributions and convex operational theories, including “black box” descriptions of experiments and the mathematics of convex vector spaces. In Chapter 3 we derive various classical and quantum-like quasiprobabilistic representations of arbitrary non-signaling distributions. Previously, results in which the density operator is allowed to become non-positive [1] have proved useful in derivations of quantum theory from physical requirements [2]; we derive a dual result in which the measurement operators instead are allowed to become non-positive, and show that the generation of any non-signaling distribution is possible using a fixed separable state with negligible correlation. We also derive two distinct “quasi-local” models of non-signaling correlations. Chapter 4 investigates non-local games, in particular the game known as Information Causality. By analysing the probability of success in this game, we prove the conjectured tightness of a bound given in [3] concerning how well entanglement allows us to perform the task of random access coding, and introduce a quadratic bias bound which seems to capture a great deal of information about the set of quantum-achievable correlations. By reformulating Information Causality in terms of entropies, we find that a sensible measure of entropy precludes many general probabilistic theories whose non-locality is stronger than that of quantum theory. Chapter 5 explores the role that reversible transitivity (the principle that any two pure states are joined by a reversible transformation) plays as a characteristic feature of quantum theory. It has previously been shown that in Boxworld, the theory allowing for the full set of non-signaling correlations, any reversible transformation on a restricted class of composite systems is merely a composition of relabellings of measurement choices and outcomes, and permutations of subsystems [4]. We develop a tabular description of Boxworld states and effects first introduced in [5], and use this to extend this reversibility result to any composite Boxworld system in which none of the subsystems are classical.

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Books on the topic "Foundations of quantum theory"

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Landsman, Klaas. Foundations of Quantum Theory. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51777-3.

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1937-, Leventhal Jacob J., ed. Foundations of quantum physics. Springer, 2008.

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Böhm, Arno. Quantum mechanics: Foundations andapplications. 3rd ed. Springer-Verlag, 1993.

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Foundations of quantum group theory. Cambridge University Press, 2000.

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Majid, Shahn. Foundations of quantum group theory. Cambridge University Press, 1995.

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M, Loewe, ed. Quantum mechanics: Foundations and applications. 2nd ed. Springer-Verlag, 1986.

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M, Loewe, ed. Quantum mechanics: Foundations and applications. 3rd ed. Springer-Verlag, 1993.

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Mirman, R. Group theoretical foundations of quantum mechanics. Nova Science Publishers, 1995.

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Chiribella, Giulio, and Robert W. Spekkens, eds. Quantum Theory: Informational Foundations and Foils. Springer Netherlands, 2016. http://dx.doi.org/10.1007/978-94-017-7303-4.

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Parthasarathy, K. R. Mathematical foundations of quantum mechanics. Hindustan Book Agency, 2005.

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Book chapters on the topic "Foundations of quantum theory"

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Ludwig, G. "Scattering Theory." In Foundations of Quantum Mechanics. Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-662-28726-2_8.

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Ludwig, G. "Scattering Theory." In Foundations of Quantum Mechanics. Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-642-86754-5_8.

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Fanchi, John R. "Foundations of Field Theory." In Parametrized Relativistic Quantum Theory. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1944-3_21.

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Bohm, Arno. "Perturbation Theory." In Quantum Mechanics: Foundations and Applications. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-662-01168-3_8.

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Bohm, Arno, and Mark Loewe. "Perturbation Theory." In Quantum Mechanics: Foundations and Applications. Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-88024-7_8.

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Bohm, Arno. "Perturbation Theory." In Quantum Mechanics: Foundations and Applications. Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4612-4352-6_8.

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Baaquie, Belal E. "Quantum Theory of Measurement." In The Theoretical Foundations of Quantum Mechanics. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-6224-8_9.

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Dalla Chiara, M., R. Giuntini, and R. Greechie. "Abstract axiomatic foundations of sharp QT." In Reasoning in Quantum Theory. Springer Netherlands, 2004. http://dx.doi.org/10.1007/978-94-017-0526-4_2.

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Hirvensalo, Mika. "Quantum Automata Theory – A Review." In Algebraic Foundations in Computer Science. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-24897-9_7.

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Accardi, Luigi. "Quantum Probability and The Foundations of Quantum Theory." In Statistics in Science. Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-0619-8_8.

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Conference papers on the topic "Foundations of quantum theory"

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Jaeger, Gregg, Kevin Ann, Guillaume Adenier, et al. "Decoherence, Disentanglement and Foundations of Quantum Mechanics." In Quantum Theory. AIP, 2007. http://dx.doi.org/10.1063/1.2827292.

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Gudder, Stan. "Fuzzy Quantum Probability Theory." In FOUNDATIONS OF PROBABILITY AND PHYSICS - 3. AIP, 2005. http://dx.doi.org/10.1063/1.1874565.

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Olkhov, Victor. "Foundations of quantum theory and thermodynamics." In Particles, fields and gravitation. AIP, 1998. http://dx.doi.org/10.1063/1.57100.

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Horrigue, Samah, and Habib Ouerdiane. "Quantum derivatives and second differential quantum operators." In QUANTUM THEORY: RECONSIDERATION OF FOUNDATIONS 6. AIP, 2012. http://dx.doi.org/10.1063/1.4773155.

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Watanabe, Noboru, and Andrei Yu Khrennikov. "On Quantum Entropies of Quantum Dynamical Systems." In QUANTUM THEORY: Reconsideration of Foundations—5. AIP, 2010. http://dx.doi.org/10.1063/1.3431485.

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Khrennikov, Andrei, Moshe Klein, Tal Mor, and Andrei Yu Khrennikov. "Quantum Integers." In QUANTUM THEORY: Reconsideration of Foundations—5. AIP, 2010. http://dx.doi.org/10.1063/1.3431505.

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Helland, Inge S. "Quantum theory as a statistical theory under symmetry." In FOUNDATIONS OF PROBABILITY AND PHYSICS - 3. AIP, 2005. http://dx.doi.org/10.1063/1.1874567.

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Gevorkyan, A. S., C. Burdik, K. B. Oganesyan, and Andrei Yu Khrennikov. "Quantum Harmonic Oscillator Subjected to Quantum Vacuum Fluctuations." In QUANTUM THEORY: Reconsideration of Foundations—5. AIP, 2010. http://dx.doi.org/10.1063/1.3431497.

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Oeckl, Robert. "Reverse engineering quantum field theory." In QUANTUM THEORY: RECONSIDERATION OF FOUNDATIONS 6. AIP, 2012. http://dx.doi.org/10.1063/1.4773160.

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Chiribella, G., G. M. D'Ariano, and Paolo Perinotti. "Informational axioms for quantum theory." In FOUNDATIONS OF PROBABILITY AND PHYSICS - 6. AIP, 2012. http://dx.doi.org/10.1063/1.3688980.

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Reports on the topic "Foundations of quantum theory"

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Meyer, David. Topology and Foundations of Quantum Algorithms. Defense Technical Information Center, 2005. http://dx.doi.org/10.21236/ada471140.

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Adami, Christoph. Relativistic Quantum Information Theory. Defense Technical Information Center, 2007. http://dx.doi.org/10.21236/ada490967.

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Chen, Pisin. A Novel Radiation to Test Foundations of Quantum Mechanics. Office of Scientific and Technical Information (OSTI), 1996. http://dx.doi.org/10.2172/1451032.

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McCullough, Daryl. Foundations of Ulysses: The Theory of Security. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada200110.

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Jaffe, Arthur M. "Quantum Field Theory and QCD". Office of Scientific and Technical Information (OSTI), 2006. http://dx.doi.org/10.2172/891184.

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Caldi, D. G. Studies in quantum field theory. Office of Scientific and Technical Information (OSTI), 1993. http://dx.doi.org/10.2172/10165764.

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Chudnovsky, Eugene M. Quantum Theory of Molecular Nanomagnets. Defense Technical Information Center, 2001. http://dx.doi.org/10.21236/ada387444.

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Hirshfeld, Allen. Deformation Quantization in Quantum Mechanics and Quantum Field Theory. GIQ, 2012. http://dx.doi.org/10.7546/giq-4-2003-11-41.

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Helmbold, Robert L. Foundations of the General Theory of Volley Fire. Defense Technical Information Center, 1992. http://dx.doi.org/10.21236/ada263181.

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Zurek, Wojciech H. Quantum Theory of the Classical: Einselection, Envariance, and Quantum Darwinism. Office of Scientific and Technical Information (OSTI), 2013. http://dx.doi.org/10.2172/1073733.

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