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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| Autors principals: | , |
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| Format: | Online |
| Idioma: | anglès |
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MDPI - Multidisciplinary Digital Publishing Institute
2021
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| Accés en línia: | 33227 |
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| _version_ | 1869517173207072768 |
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| author | Khrennikov, Andrei Svozil, Karl |
| author_browse | Khrennikov, Andrei Svozil, Karl |
| author_facet | Khrennikov, Andrei Svozil, Karl |
| author_sort | Khrennikov, Andrei |
| collection | Directory of Open Access Books |
| description | 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 | Online |
| id | doab-20.500.12854ir-57454 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-574542023-12-20T18:40:30Z Quantum Probability and Randomness Khrennikov, Andrei Svozil, Karl Q1-390 QC1-999 irreducible randomness quantum-like models for social stochasticity partially defined algebras indeterminism protocol Gram–Schmidt process three-qubit random states complementarity entanglement classes maximization of quantum conditional min-entropy random numbers quantum computation MMP hypergraphs quantum information theory quasigroups potentiality random number generators social energy social thermodynamics quantum dynamics probability entanglement quantum foundations quantum technology vacuum state quantum contextuality orthogonality quantum information correlations entanglement polytope causation quantum-like models operational approach reality Borel normality Bell inequalities Copenhagen interpretation social laser quantum entanglement algebra Bose–Einstein statistics realism epistemic operations quantum random number information interpretation of quantum theory viable cultures master equation for socio-information excitations entropy quantum logics qubits holistic semantics Bayesian inference uncertainty relations Bayes’ formula Kochen–Specker sets model selection quantum logic groups randomness Greechie diagrams causality indefiniteness probability representation algorithmic complexity resonator of social laser bandwagon effect contextuality quantum probability geometry social atom bit commitment anisotropic invariants quantum information field bic Book Industry Communication::G Reference, information & interdisciplinary subjects::GP Research & information: general 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. 2021-02-12T00:35:44Z 2021-02-12T00:35:44Z 2019-04-25 16:37:17 2019 book 33227 9783038977155 9783038977148 https://directory.doabooks.org/handle/20.500.12854/57454 eng image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International https://play.google.com/books/publish/a/14935057684283403269#details/ISBN:9783038977148 https://mdpi.com/books/pdfview/book/1247 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03897-715-5 10.3390/books978-3-03897-715-5 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783038977155 9783038977148 276 open access |
| spellingShingle | Q1-390 QC1-999 irreducible randomness quantum-like models for social stochasticity partially defined algebras indeterminism protocol Gram–Schmidt process three-qubit random states complementarity entanglement classes maximization of quantum conditional min-entropy random numbers quantum computation MMP hypergraphs quantum information theory quasigroups potentiality random number generators social energy social thermodynamics quantum dynamics probability entanglement quantum foundations quantum technology vacuum state quantum contextuality orthogonality quantum information correlations entanglement polytope causation quantum-like models operational approach reality Borel normality Bell inequalities Copenhagen interpretation social laser quantum entanglement algebra Bose–Einstein statistics realism epistemic operations quantum random number information interpretation of quantum theory viable cultures master equation for socio-information excitations entropy quantum logics qubits holistic semantics Bayesian inference uncertainty relations Bayes’ formula Kochen–Specker sets model selection quantum logic groups randomness Greechie diagrams causality indefiniteness probability representation algorithmic complexity resonator of social laser bandwagon effect contextuality quantum probability geometry social atom bit commitment anisotropic invariants quantum information field bic Book Industry Communication::G Reference, information & interdisciplinary subjects::GP Research & information: general Khrennikov, Andrei Svozil, Karl Quantum Probability and Randomness |
| title | Quantum Probability and Randomness |
| title_full | Quantum Probability and Randomness |
| title_fullStr | Quantum Probability and Randomness |
| title_full_unstemmed | Quantum Probability and Randomness |
| title_short | Quantum Probability and Randomness |
| title_sort | quantum probability and randomness |
| topic | Q1-390 QC1-999 irreducible randomness quantum-like models for social stochasticity partially defined algebras indeterminism protocol Gram–Schmidt process three-qubit random states complementarity entanglement classes maximization of quantum conditional min-entropy random numbers quantum computation MMP hypergraphs quantum information theory quasigroups potentiality random number generators social energy social thermodynamics quantum dynamics probability entanglement quantum foundations quantum technology vacuum state quantum contextuality orthogonality quantum information correlations entanglement polytope causation quantum-like models operational approach reality Borel normality Bell inequalities Copenhagen interpretation social laser quantum entanglement algebra Bose–Einstein statistics realism epistemic operations quantum random number information interpretation of quantum theory viable cultures master equation for socio-information excitations entropy quantum logics qubits holistic semantics Bayesian inference uncertainty relations Bayes’ formula Kochen–Specker sets model selection quantum logic groups randomness Greechie diagrams causality indefiniteness probability representation algorithmic complexity resonator of social laser bandwagon effect contextuality quantum probability geometry social atom bit commitment anisotropic invariants quantum information field bic Book Industry Communication::G Reference, information & interdisciplinary subjects::GP Research & information: general |
| topic_facet | Q1-390 QC1-999 irreducible randomness quantum-like models for social stochasticity partially defined algebras indeterminism protocol Gram–Schmidt process three-qubit random states complementarity entanglement classes maximization of quantum conditional min-entropy random numbers quantum computation MMP hypergraphs quantum information theory quasigroups potentiality random number generators social energy social thermodynamics quantum dynamics probability entanglement quantum foundations quantum technology vacuum state quantum contextuality orthogonality quantum information correlations entanglement polytope causation quantum-like models operational approach reality Borel normality Bell inequalities Copenhagen interpretation social laser quantum entanglement algebra Bose–Einstein statistics realism epistemic operations quantum random number information interpretation of quantum theory viable cultures master equation for socio-information excitations entropy quantum logics qubits holistic semantics Bayesian inference uncertainty relations Bayes’ formula Kochen–Specker sets model selection quantum logic groups randomness Greechie diagrams causality indefiniteness probability representation algorithmic complexity resonator of social laser bandwagon effect contextuality quantum probability geometry social atom bit commitment anisotropic invariants quantum information field bic Book Industry Communication::G Reference, information & interdisciplinary subjects::GP Research & information: general |
| url | 33227 |
| work_keys_str_mv | AT khrennikovandrei quantumprobabilityandrandomness AT svozilkarl quantumprobabilityandrandomness |