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Relevant bibliographies by topics / Quantum theory Measure theory

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Academic literature on the topic 'Quantum theory Measure theory'

Author: Grafiati

Published: 4 June 2021

Last updated: 2 February 2022

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Journal articles on the topic "Quantum theory Measure theory"

1

Harrison, Flona. "Measure for measure in quantum theory." Physics World 9, no. 3 (1996): 24–25. http://dx.doi.org/10.1088/2058-7058/9/3/22.

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SORKIN, RAFAEL D. "QUANTUM MECHANICS AS QUANTUM MEASURE THEORY." Modern Physics Letters A 09, no. 33 (1994): 3119–27. http://dx.doi.org/10.1142/s021773239400294x.

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The additivity of classical probabilities is only the first in a hierarchy of possible sum rules, each of which implies its successor. The first and most restrictive sum rule of the hierarchy yields measure theory in the Kolmogorov sense, which is appropriate physically for the description of stochastic processes such as Brownian motion. The next weaker sum rule defines a generalized measure theory which includes quantum mechanics as a special case. The fact that quantum probabilities can be expressed "as the squares of quantum amplitudes" is thus derived in a natural manner, and a series of n

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Surya, Sumati, and Petros Wallden. "Quantum Covers in Quantum Measure Theory." Foundations of Physics 40, no. 6 (2010): 585–606. http://dx.doi.org/10.1007/s10701-010-9419-1.

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Gudder, Stan. "Quantum measure and integration theory." Journal of Mathematical Physics 50, no. 12 (2009): 123509. http://dx.doi.org/10.1063/1.3267867.

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Barnett, Matthew, Fay Dowker, and David Rideout. "Popescu–Rohrlich boxes in quantum measure theory." Journal of Physics A: Mathematical and Theoretical 40, no. 26 (2007): 7255–64. http://dx.doi.org/10.1088/1751-8113/40/26/011.

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Craig, David, Fay Dowker, Joe Henson, Seth Major, David Rideout, and Rafael D. Sorkin. "A Bell inequality analog in quantum measure theory." Journal of Physics A: Mathematical and Theoretical 40, no. 3 (2006): 501–23. http://dx.doi.org/10.1088/1751-8113/40/3/010.

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Dowker, Fay, and Yousef Ghazi-Tabatabai. "Dynamical wavefunction collapse models in quantum measure theory." Journal of Physics A: Mathematical and Theoretical 41, no. 20 (2008): 205306. http://dx.doi.org/10.1088/1751-8113/41/20/205306.

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Gudder, Stan. "A Theory of Entanglement." Quanta 9, no. 1 (2020): 7–15. http://dx.doi.org/10.12743/quanta.v9i1.115.

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This article presents the basis of a theory of entanglement. We begin with a classical theory of entangled discrete measures. Then, we treat quantum mechanics and discuss the statistics of bounded operators on a Hilbert space in terms of context coefficients. Finally, we combine both topics to develop a general theory of entanglement for quantum states. A measure of entanglement called the entanglement number is introduced. Although this number is related to entanglement robustness, its motivation is not the same and there are some differences. The present article only involves bipartite syste

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SALGADO, ROBERTO B. "SOME IDENTITIES FOR THE QUANTUM MEASURE AND ITS GENERALIZATIONS." Modern Physics Letters A 17, no. 12 (2002): 711–28. http://dx.doi.org/10.1142/s0217732302007041.

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After a brief review of classical probability theory (measure theory), we present an observation (due to Sorkin) concerning an aspect of probability in quantum mechanics. Following Sorkin, we introduce a generalized measure theory based on a hierarchy of "sum-rules". The first sum-rule yields classical probability theory, and the second yields a generalized probability theory that includes quantum mechanics as a special case. We present some algebraic relations involving these sum-rules. This may be useful for the study of the higher-order sum-rules and possible generalizations of quantum mech

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Dowker, Fay, and Yousef Ghazi-Tabatabai. "The Kochen–Specker theorem revisited in quantum measure theory." Journal of Physics A: Mathematical and Theoretical 41, no. 10 (2008): 105301. http://dx.doi.org/10.1088/1751-8113/41/10/105301.

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Dissertations / Theses on the topic "Quantum theory Measure theory"

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Ghazi-Tabatabai, Yousef. "Quantum Measure Theory : A New Interpretation." Thesis, Imperial College London, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.502912.

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Childress, Scot Paul. "Quantum measures, arithmetic coils, and generalized fractal strings." Diss., UC access only, 2009. http://proquest.umi.com/pqdweb?index=128&did=1871850181&SrchMode=1&sid=1&Fmt=7&retrieveGroup=0&VType=PQD&VInst=PROD&RQT=309&VName=PQD&TS=1270491013&clientId=48051.

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Thesis (Ph. D.)--University of California, Riverside, 2009.<br>Includes abstract. Includes bibliographical references (leaves 202-204) and index. Issued in print and online. Available via ProQuest Digital Dissertations.

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Zander, Claudia. "Information measures, entanglement and quantum evolution." Diss., University of Pretoria, 2007. http://upetd.up.ac.za/thesis/available/etd-04212008-090506.

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Woodhead, Erik. "Imperfections and self testing in prepare-and-measure quantum key distribution." Doctoral thesis, Universite Libre de Bruxelles, 2014. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209185.

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Quantum key distribution (QKD) protocols are intended to allow cryptographic keys to be generated and distributed in way that is provably secure based on inherent limitations, such as the no-cloning principle, imposed by quantum mechanics. This unique advantage compared with classical cryptography comes with an added difficulty: key bits in QKD protocols are encoded in analogue quantum states and their preparation is consequently subject to the usual imprecisions inevitable in any real world experiment. The negative impact of such imprecisions is illustrated for the BB84 QKD protocol. Followin

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Crespo, Jonathan. "Monoidal equivalence of locally compact quantum groups and application to bivariant K-theory." Thesis, Clermont-Ferrand 2, 2015. http://www.theses.fr/2015CLF22621/document.

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Les travaux présentés dans cette thèse concernent l'équivalence monoïdale de groupes quantiques localement compacts et ses applications. Nous généralisons au cas localement compact et régulier, deux résultats importants concernant les actions de groupes quantiques compacts. Soient G1 et G2 deux groupes quantiques localement compacts réguliers et monoïdalement équivalents. Nous développons un procédé d'induction des actions qui permet d'établir une équivalence canonique des catégories dont les objets sont les actions continues de G1 et G2 sur les C*-algèbres. Comme application de ce résultat, n

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Albouy, Olivier. "Discrete algebra and geometry applied to the Pauli group and mutually unbiased bases in quantum information theory." Phd thesis, Université Claude Bernard - Lyon I, 2009. http://tel.archives-ouvertes.fr/tel-00612229.

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Pour d non puissance d'un nombre premier, le nombre maximal de bases deux à deux décorrélées d'un espace de Hilbert de dimension d n'est pas encore connu. Dans ce mémoire, nous commençons par donner une construction de bases décorrélées en lien avec une famille de représentations irréductibles de l'algèbre de Lie su(2) et faisant appel aux sommes de Gauss.Puis nous étudions de façon systématique la possibilité de construire de telle bases au moyen des opérateurs de Pauli. 1) L'étude de la droite projective sur Zdm montre que, pour obtenir des ensembles maximaux de bases décorrélées à l'aide d'

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Li, Ling Feng. "An image encryption system based on two-dimensional quantum random walks." Thesis, University of Macau, 2018. http://umaclib3.umac.mo/record=b3950660.

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Midgley, Stuart. "Quantum waveguide theory." University of Western Australia. School of Physics, 2003. http://theses.library.uwa.edu.au/adt-WU2004.0036.

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The study of nano-electronic devices is fundamental to the advancement of the semiconductor industry. As electronic devices become increasingly smaller, they will eventually move into a regime where the classical nature of the electrons no longer applies. As the quantum nature of the electrons becomes increasingly important, classical or semiclassical theories and methods will no longer serve their purpose. For example, the simplest non-classical effect that will occur is the tunnelling of electrons through the potential barriers that form wires and transistors. This results in an increase in

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Shin, Ghi Ryang. "Quantum transport theory." Diss., The University of Arizona, 1993. http://hdl.handle.net/10150/186508.

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Within the framework of the quantum transport theory based on the Wigner transform of the density matrix I study first in non-relativistic and subsequently in relativistic formulation a number of applications. I also develop further the recently proposed relativistic theory: the classical limit is carefully derived and the integral equations of the relativistic Wigner function derived explicitly. I show how it is possible to obtain the Schwinger like particle production rate from relativistic quantum transport equations. Noteworthy numerical results address the shape of the relativistic Wigner

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Schumann, Robert Helmut. "Quantum information theory." Thesis, Stellenbosch : Stellenbosch University, 2000. http://hdl.handle.net/10019.1/51892.

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Thesis (MSc)--Stellenbosch University, 2000<br>ENGLISH ABSTRACT: What are the information processing capabilities of physical systems? As recently as the first half of the 20th century this question did not even have a definite meaning. What is information, and how would one process it? It took the development of theories of computing (in the 1930s) and information (late in the 1940s) for us to formulate mathematically what it means to compute or communicate. Yet these theories were abstract, based on axiomatic mathematics: what did physical systems have to do with these axioms? Rolf La

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Books on the topic "Quantum theory Measure theory"

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Hamhalter, Jan. Quantum Measure Theory. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0119-8.

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Hamhalter, Jan. Quantum Measure Theory. Springer Netherlands, 2003.

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J, Milburn G., ed. Quantum measurement and control. Cambridge University Press, 2010.

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Kalmbach, Gudrun. Quantum measures and spaces. Kluwer, 1998.

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Kalmbach, G. Quantum measures and spaces. Kluwer, 1998.

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Yang-Mills measure on compact surfaces. American Mathematical Society, 2003.

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Baggott, J. E. Beyond measure: Modern physics, philosophy, and the meaning of quantum theory. Oxford University Press, 2004.

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Ferraro, Alessandro. Gaussian states in quantum information. Bibliopolis, 2005.

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Solid state and quantum theory for optoelectronics. Taylor & Francis, 2010.

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NATO Advanced Research Workshop on Quantum Cryptography and Computing: Theory and Implementations (2009 Gdańsk, Poland). Quantum cryptography and computing--theory and implementation. IOS Press, 2010.

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Book chapters on the topic "Quantum theory Measure theory"

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Bongaarts, Peter. "Measure and Integral." In Quantum Theory. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-09561-5_19.

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Hamhalter, Jan. "Independence of Quantum Systems." In Quantum Measure Theory. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0119-8_11.

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Hamhalter, Jan. "Introduction." In Quantum Measure Theory. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0119-8_1.

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Hamhalter, Jan. "Jauch-Piron States." In Quantum Measure Theory. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0119-8_10.

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Hamhalter, Jan. "Operator Algebras." In Quantum Measure Theory. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0119-8_2.

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Hamhalter, Jan. "Gleason Theorem." In Quantum Measure Theory. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0119-8_3.

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Hamhalter, Jan. "Completeness Criteria." In Quantum Measure Theory. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0119-8_4.

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Hamhalter, Jan. "Generalized Gleason Theorem." In Quantum Measure Theory. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0119-8_5.

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Hamhalter, Jan. "Basic Principles of Quantum Measure Theory." In Quantum Measure Theory. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0119-8_6.

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Hamhalter, Jan. "Applications of Gleason Theorem." In Quantum Measure Theory. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0119-8_7.

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Conference papers on the topic "Quantum theory Measure theory"

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Craig, David. "Noncontextuality in Quantum Measure Theory." In QUANTUM MECHANICS: Are There Quantum Jumps? - and On the Present Status of Quantum Mechanics. AIP, 2006. http://dx.doi.org/10.1063/1.2219354.

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Görlich, Andrzej. "Euclidean 4D quantum gravity with a non-trivial measure term." In 31st International Symposium on Lattice Field Theory LATTICE 2013. Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.187.0094.

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Iten, Raban, Joseph M. Renes, and David Sutter. "Pretty good measures in quantum information theory." In 2017 IEEE International Symposium on Information Theory (ISIT). IEEE, 2017. http://dx.doi.org/10.1109/isit.2017.8007119.

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Basieva, Irina, and Andrei Khrennikov. "Observables generalizing positive operator valued measures." In QUANTUM THEORY: RECONSIDERATION OF FOUNDATIONS 6. AIP, 2012. http://dx.doi.org/10.1063/1.4773120.

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Ouerdiane, Habib. "White noise measures associated to the solutions of stochastic differential equations." In Stochastic Analysis: Classical and Quantum - Perspectives of White Noise Theory. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701541_0013.

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Handel, Peter H. "Quantum theory of 1/f frequency fluctuations macroscopic quantum interference present in fundamental 1/f noise measured since 1925." In 2017 Joint Conference of the European Frequency and Time Forum and IEEE International Frequency Control Symposium ((EFTF/IFC). IEEE, 2017. http://dx.doi.org/10.1109/fcs.2017.8088861.

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Guasto, Jeffrey S., Peter Huang, and Kenneth S. Breuer. "Statistical Particle Tracking Velocimetry Using Molecular and Quantum Dot Tracer Particles." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-80051.

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We present the theory and experimental validation of a particle tracking velocimetry algorithm developed for application with nanometer-sized tracer particles such as fluorescent molecules and quantum dots (QDs). Traditional algorithms are challenged by extremely small tracers due to difficulties in determining the particle center, shot noise, high drop-in/drop-out and, in the case of quantum dots, fluorescence intermittency (blinking). The algorithms presented here determine real velocity distributions from measured particle displacement distributions by statistically removing randomly distri

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Lyubimov, D. N., V. L. Patsekha, and A. V. Patsekha. "QUANTUM MECHANISMS OF TRIBOSYSTEMS THERMODYNAMIC EVOLUTION." In BALTTRIB. Aleksandras Stulginskis University, 2017. http://dx.doi.org/10.15544/balttrib.2017.33.

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It is noted that while analyzing the tribosystems evolution it is potentially productive to use the methods of modern thermodynamics, nonlinear mechanics and quantum theory. Using the understandings of nonlinear dynamics and quantum-exchange interaction of solids surfaces an analytical expression is obtained for calculating the magnitude change of the tribosystems entropy. The expression for estimating the change in the tribosystems entropy is explicitly contained the tribotechnical parameter that is reciprocal to the wear. The case of relation between the tribosystems entropy change (decrease

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Peri, Joseph S. J. "Dempster-Shafer theory, Bayesian theory, and measure theory." In Defense and Security, edited by Ivan Kadar. SPIE, 2005. http://dx.doi.org/10.1117/12.604914.

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Dames, Chris, and Gang Chen. "Thermal Conductivity and Specific Heat Measurements of Single Nanowires." In ASME 2005 Summer Heat Transfer Conference collocated with the ASME 2005 Pacific Rim Technical Conference and Exhibition on Integration and Packaging of MEMS, NEMS, and Electronic Systems. ASMEDC, 2005. http://dx.doi.org/10.1115/ht2005-72780.

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For the effective use of nanowires and nanotubes in their many possible applications in sensing, computation and memory, optoelectronics, and energy conversion, it is important to understand their thermal properties, which may differ considerably from bulk [1]. For example, there is good agreement between theory and experiments on Si nanowires showing that the classical size effect of phonon boundary scattering may reduce the thermal conductivity by up to several orders of magnitude for diameters of 40 nm and up [2, 3, 12, 13]. However, more experiments are needed at 20 nm and smaller diameter

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Reports on the topic "Quantum theory Measure theory"

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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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McKeown, David M., and Jr. Measure Theory and Fair Arbiters. Defense Technical Information Center, 1987. http://dx.doi.org/10.21236/ada188745.

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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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Light, John C. Quantum Theory of Fast Chemical Reactions. Office of Scientific and Technical Information (OSTI), 2007. http://dx.doi.org/10.2172/910303.

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Heifets, Samuel A. Quantum Theory of Optical Stochastic Cooling. Office of Scientific and Technical Information (OSTI), 2000. http://dx.doi.org/10.2172/784782.

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Weinstein, Marvin. Adaptive Perturbation Theory I: Quantum Mechanics. Office of Scientific and Technical Information (OSTI), 2005. http://dx.doi.org/10.2172/878047.

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Gupta, S. N. Quantum Theory of Fields. Progress Report. Office of Scientific and Technical Information (OSTI), 1996. http://dx.doi.org/10.2172/823805.

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Bern, Z. Continuum regularization of quantum field theory. Office of Scientific and Technical Information (OSTI), 1986. http://dx.doi.org/10.2172/7104107.

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