Quantum probability and randomness / / edited by Andrei Khrennikov, Karl Svozil.

• TeilnehmendeR: Khrennikov, Andrei,; Svozil, Karl,
• Place / Publishing House: Basel, Switzerland : : MDPI,, [2019]; ©2019
• Year of Publication: 2019
• Language: English
• Physical Description: 1 online resource (276 pages) :; illustrations

The last few years have been characterized by a tremendous development of quantum information and probability and their applications, including quantum computing, quantum cryptography, and quantum random generators. In spite of the successful development of quantum technology, its foundational basis is still not concrete and contains a few sandy and shaky slices. Quantum random generators are one of the most promising outputs of the recent quantum information revolution. Therefore, it is very important to reconsider the foundational basis of this project, starting with the notion of irreducible quantum randomness. Quantum probabilities present a powerful tool to model uncertainty. Interpretations of quantum probability and foundational meaning of its basic tools, starting with the Born rule, are among the topics which will be covered by this issue. Recently, quantum probability has started to play an important role in a few areas of research outside quantum physics-in particular, quantum probabilistic treatment of problems of theory of decision making under uncertainty. Such studies are also among the topics of this issue.

Table of Contents

About the Special Issue Editors . vii -- Andrei Khrennikov and Karl Svozil Quantum Probability and Randomness Reprinted from: Entropy 2019, 21, 35, doi:10.3390/e21010035 . 1 -- Mladen Paviˇci´c and Norman D. Megill Vector Generation of Quantum Contextual Sets in Even Dimensional Hilbert Spaces Reprinted from: Entropy 2018, 20, 928, doi:10.3390/e20120928 . 6 -- Aldo C. Mart´ınez, Aldo Sol´ıs, Rafael D´ıaz Hern ´andez Rojas, Alfred B. U'Ren, Jorge G. Hirsch and Isaac P ´erez Castillo Advanced Statistical Testing of Quantum Random Number Generators Reprinted from: Entropy 2018, 20, 886, doi:10.3390/e20110886 . 18 -- Maria Luisa Dalla Chiara, Hector Freytes, Roberto Giuntini, Roberto Leporini and Giuseppe Sergioli Probabilities and Epistemic Operations in the Logics of Quantum Computation Reprinted from: Entropy 2018, 20, 837, doi:10.3390/e20110837 . 31 -- Xiaomin Guo, Ripeng Liu, Pu Li, Chen Cheng, Mingchuan Wu and Yanqiang Guo Enhancing Extractable Quantum Entropy in Vacuum-Based Quantum Random Number Generato Reprinted from: Entropy 2018, 20, 819, doi:10.3390/e20110819 . 53 -- Marco Enr´ıquez, Francisco Delgado and Karol Zyczkowski ˙ Entanglement of Three-Qubit Random Pure States Reprinted from: Entropy 2018, 20, 745, doi:10.3390/e20100745 . 66 -- Margarita A. Man'ko and Vladimir I. Man'ko New Entropic Inequalities and Hidden Correlations in Quantum Suprematism Picture of Qudit States Reprinted from: Entropy 2018, 20, 692, doi:10.3390/e20090692 . 85 -- Arkady Plotnitsky "The Heisenberg Method": Geometry, Algebra, and Probability in Quantum Theory Reprinted from: Entropy 2018, 20, 656, doi:10.3390/e20090656 . 102 -- Francisco Delgado SU(2) Decomposition for the Quantum Information Dynamics in 2d-Partite Two-Level Quantum Systems Reprinted from: Entropy 2018, 20, 610, doi:10.3390/e20080610 . 148 -- Marius Nagy and Naya Nagy An Information-Theoretic Perspective on the Quantum Bit Commitment Impossibility Theorem Reprinted from: Entropy 2018, 20, 193, doi:10.3390/e20030193 . 189 -- Gregg Jaeger Developments in Quantum Probability and the Copenhagen Approach Reprinted from: Entropy 2018, 20, 420, doi:10.3390/e20060420 . 205 -- Hans Havlicek and Karl Svozil Dimensional Lifting through the Generalized Gram-Schmidt Process Reprinted from: Entropy 2018, 20, 284, doi:10.3390/e20040284 . 224 -- Andrei Khrennikov, Alexander Alodjants, Anastasiia Trofimova and Dmitry Tsarev On Interpretational Questions for Quantum-Like Modeling of Social Lasing Reprinted from: Entropy 2018, 20, 921, doi:10.3390/e20120921 . 229 -- Paul Ballonoff Paths of Cultural Systems Reprinted from: Entropy 2018, 20, 8, doi:10.3390/e20010008 253.