Quantum Entanglement and Encoding Algorithm
Entanglement is a resource for quantum computation and information tasks. It has increasingly become clear that entanglement may be brought forth in combination of concepts as “(the) Animal Acts” or “Animal (eats) Food” rather than being unique to micro-physical systems like photons or electrons. We...
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| Vydané v: | International journal of theoretical physics Ročník 62; číslo 7; s. 149 |
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| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
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New York
Springer US
10.07.2023
Springer Nature B.V |
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| ISSN: | 1572-9575, 0020-7748, 1572-9575 |
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| Abstract | Entanglement is a resource for quantum computation and information tasks. It has increasingly become clear that entanglement may be brought forth in combination of concepts as “(the) Animal Acts” or “Animal (eats) Food” rather than being unique to micro-physical systems like photons or electrons. We extend the approach to the combination of three concepts which determine non-classical statistical correlations. Moreover, we introduce a new vector encoding algorithm that takes entanglement into account. |
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| AbstractList | Entanglement is a resource for quantum computation and information tasks. It has increasingly become clear that entanglement may be brought forth in combination of concepts as “(the) Animal Acts” or “Animal (eats) Food” rather than being unique to micro-physical systems like photons or electrons. We extend the approach to the combination of three concepts which determine non-classical statistical correlations. Moreover, we introduce a new vector encoding algorithm that takes entanglement into account. |
| ArticleNumber | 149 |
| Author | Bertini, Cesarino Leporini, Roberto Moriani, Sergio |
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| Cites_doi | 10.1007/978-3-642-24971-6_12 10.1016/j.physleta.2017.10.023 10.1007/978-3-030-04471-8_1 10.1016/j.jmp.2016.09.003 10.1007/s10773-013-1946-z 10.1007/s10773-019-04155-y 10.48550/arXiv.1710.02187 10.48550/arXiv:2102.03847 10.1103/PhysicsPhysiqueFizika.1.195 10.1103/PhysRevLett.23.880 10.1007/s10699-020-09703-y 10.3390/e23060735 10.1007/s10699-018-9570-2 10.1016/j.jmp.2015.06.002 10.1016/j.fss.2015.09.002 |
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| Copyright | The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2023. |
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| References_xml | – reference: Aerts, D., Aerts Arguëlles, J., Beltran, L., Geriente, S., Sozzo, S.: Entanglement in Cognition violating Bell inequalities beyond Cirel’son’s bound. arXiv:2102.03847v1 (2021), 1–22.https://doi.org/10.48550/arXiv:2102.03847 – reference: ClauserJFHorneMAShimonyAHoltRAProposed experiment to test local hidden-variable theoriesPhys. Rev. Let.1969238808841969PhRvL..23..880C10.1103/PhysRevLett.23.8801371.81014 – reference: BellJOn the Einstein Podolsky Rosen paradoxPhysics19641195200379062910.1103/PhysicsPhysiqueFizika.1.195 – reference: BruzaPKittoKRammBSitbonLA probabilistic framework for analysing the compositionality of conceptual combinationsJ. Math. Psychol.2015672638337251910.1016/j.jmp.2015.06.0021354.91136 – reference: GronchiGStrambiniEQuantum cognition and Bell’s inequality: a model for probabilistic judgment biasJ. Math. Psychol.2017786575365676810.1016/j.jmp.2016.09.0031382.91079 – reference: AertsDSozzoSQuantum entanglement in concept combinationsInt. J. Theor. Phys.20145335873603325381610.1007/s10773-013-1946-z1302.81052 – reference: LeporiniRQuantum uncertainties and holism seem to render irrelevant qudit-semanticsEntropy20212367352021Entrp..23..735L428913810.3390/e23060735 – reference: Dalla ChiaraMLGiuntiniRLeporiniRSergioliGA first-order epistemic quantum computational semantics with relativistic-like epistemic effectsFuzzy Sets Syst.20152986990350408610.1016/j.fss.2015.09.0021376.81017 – reference: AertsDSozzoSQuantum structure in cognition: Why and how concepts are entangledLect. Notes Comput. Sci.20117052116127319923510.1007/978-3-642-24971-6_12 – reference: BeltranLGerienteSQuantum entanglement in corpuses of documentsFound. Sci.20192422724610.1007/s10699-018-9570-2 – reference: AccardiLFedulloAOn the statistical meaning of the complex numbers in quantum mechanicsNuovo Cimento196934161172668985 – reference: LeporiniRHolistic and Compositional Logics Based on the Bertini GateFound. Sci.20222715775439479910.1007/s10699-020-09703-y1492.81022 – reference: Dalla Chiara, M.L., Giuntini, R., Leporini, R., Sergioli, G.: Quantum Computation and Logic. How quantum computers have inspired logical investigations. Trends Logic. Springer, Zurich, 48 1–178. ISBN 978-3-030-04470-1 (2018) – reference: Heinzerling, B., Strube, M.: BPEmb: tokenization-free Pre-trained subword embeddings in 275 languages. arXiv:1710.02187v1 1–5 (2017) .https://doi.org/10.48550/arXiv.1710.02187 – reference: AertsDBeltranLGerienteSSozzoSQuantum-theoretic modeling in computer scienceInt. J. Theor. Phys.20216071072610.1007/s10773-019-04155-y07420789 – reference: DasADattaCAgrawalPNew Bell inequalities for three-qubit pure statesPhys. Lett. A.201738147392839332017PhLA..381.3928D371772610.1016/j.physleta.2017.10.0231386.81014 – volume: 7052 start-page: 116 year: 2011 ident: 5394_CR6 publication-title: Lect. Notes Comput. Sci. doi: 10.1007/978-3-642-24971-6_12 – volume: 381 start-page: 3928 issue: 47 year: 2017 ident: 5394_CR15 publication-title: Phys. Lett. A. doi: 10.1016/j.physleta.2017.10.023 – ident: 5394_CR1 doi: 10.1007/978-3-030-04471-8_1 – volume: 78 start-page: 65 year: 2017 ident: 5394_CR9 publication-title: J. Math. Psychol. doi: 10.1016/j.jmp.2016.09.003 – volume: 53 start-page: 3587 year: 2014 ident: 5394_CR7 publication-title: Int. J. Theor. Phys. doi: 10.1007/s10773-013-1946-z – volume: 60 start-page: 710 year: 2021 ident: 5394_CR11 publication-title: Int. J. Theor. Phys. doi: 10.1007/s10773-019-04155-y – ident: 5394_CR16 doi: 10.48550/arXiv.1710.02187 – ident: 5394_CR5 doi: 10.48550/arXiv:2102.03847 – volume: 1 start-page: 195 year: 1964 ident: 5394_CR12 publication-title: Physics doi: 10.1103/PhysicsPhysiqueFizika.1.195 – volume: 23 start-page: 880 year: 1969 ident: 5394_CR13 publication-title: Phys. Rev. Let. doi: 10.1103/PhysRevLett.23.880 – volume: 27 start-page: 57 issue: 1 year: 2022 ident: 5394_CR2 publication-title: Found. Sci. doi: 10.1007/s10699-020-09703-y – volume: 23 start-page: 735 issue: 6 year: 2021 ident: 5394_CR3 publication-title: Entropy doi: 10.3390/e23060735 – volume: 24 start-page: 227 year: 2019 ident: 5394_CR10 publication-title: Found. Sci. doi: 10.1007/s10699-018-9570-2 – volume: 34 start-page: 161 year: 1969 ident: 5394_CR14 publication-title: Nuovo Cimento – volume: 67 start-page: 26 year: 2015 ident: 5394_CR8 publication-title: J. Math. Psychol. doi: 10.1016/j.jmp.2015.06.002 – volume: 298 start-page: 69 year: 2015 ident: 5394_CR4 publication-title: Fuzzy Sets Syst. doi: 10.1016/j.fss.2015.09.002 |
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| SubjectTerms | Algorithms Coding Elementary Particles Expected values Hilbert space Language Logic Mathematical and Computational Physics Physics Physics and Astronomy Probability Quantum computing Quantum entanglement Quantum Field Theory Quantum Physics Quantum theory Semantics Theoretical |
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