Quantum Probability and Randomness

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...

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Hlavní autoři:	Khrennikov, Andrei, Svozil, Karl
Médium:	E-kniha
Jazyk:	angličtina
Vydáno:	MDPI - Multidisciplinary Digital Publishing Institute 2019 MDPI
Témata:	algebra algorithmic complexity anisotropic invariants bandwagon effect Bayesian inference Bayes’ formula Bell inequalities bit commitment Book Industry Communication Borel normality Bose–Einstein statistics causality causation complementarity contextuality Copenhagen interpretation correlations entanglement entanglement classes entanglement polytope entropy epistemic operations geometry Gram–Schmidt process Greechie diagrams groups holistic semantics indefiniteness indeterminism information interpretation of quantum theory irreducible randomness Kochen–Specker sets master equation for socio-information excitations maximization of quantum conditional min-entropy MMP hypergraphs model selection operational approach orthogonality partially defined algebras potentiality probability probability representation protocol Q1-390 QC1-999 quantum computation quantum contextuality quantum dynamics quantum entanglement quantum foundations quantum information quantum information field quantum information theory quantum logic quantum logics quantum probability quantum random number quantum technology quantum-like models quantum-like models for social stochasticity quasigroups qubits random number generators random numbers randomness realism reality Reference, information & interdisciplinary subjects Research & information: general resonator of social laser social atom social energy social laser social thermodynamics three-qubit random states uncertainty relations vacuum state viable cultures
ISBN:	9783038977148, 3038977152, 9783038977155, 3038977144
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Popis
Shrnutí:	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.
Bibliografie:	MODID-565f2b0520d:MDPI
ISBN:	9783038977148 3038977152 9783038977155 3038977144
DOI:	10.3390/books978-3-03897-715-5