Reprint

Quantum Probability and Randomness

Edited by
April 2019
276 pages
  • ISBN978-3-03897-714-8 (Paperback)
  • ISBN978-3-03897-715-5 (PDF)

This book is a reprint of the Special Issue Quantum Probability and Randomness that was published in

Chemistry & Materials Science
Computer Science & Mathematics
Physical Sciences
Summary

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.

Format
  • Paperback
License
© 2019 by the authors; CC BY-NC-ND license
Keywords
quantum logic; groups; partially defined algebras; quasigroups; viable cultures; quantum information theory; bit commitment; protocol; entropy; entanglement; orthogonality; quantum computation; Gram–Schmidt process; quantum probability; potentiality; complementarity; uncertainty relations; Copenhagen interpretation; indefiniteness; indeterminism; causation; randomness; quantum information; quantum dynamics; entanglement; algebra; causality; geometry; probability; quantum information theory; realism; reality; entropy; correlations; qubits; probability representation; Bayes’ formula; quantum entanglement; three-qubit random states; entanglement classes; entanglement polytope; anisotropic invariants; quantum random number; vacuum state; maximization of quantum conditional min-entropy; quantum logics; quantum probability; holistic semantics; epistemic operations; Bell inequalities; algorithmic complexity; Borel normality; Bayesian inference; model selection; random numbers; quantum-like models; operational approach; information interpretation of quantum theory; social laser; social energy; quantum information field; social atom; Bose–Einstein statistics; bandwagon effect; social thermodynamics; resonator of social laser; master equation for socio-information excitations; quantum contextuality; Kochen–Specker sets; MMP hypergraphs; Greechie diagrams; quantum foundations; probability; irreducible randomness; random number generators; quantum technology; entanglement; quantum-like models for social stochasticity; contextuality