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Article: Constraining the state space in any physical theory with the principle of information symmetry

TitleConstraining the state space in any physical theory with the principle of information symmetry
Authors
KeywordsBinary state
Information symmetries
Minimal errors
Physical theory
Probabilistic theory
Issue Date2019
PublisherAmerican Physical Society. The Journal's web site is located at http://journals.aps.org/pra/
Citation
Physical Review A: covering atomic, molecular, and optical physics and quantum information, 2019, v. 100, p. article no. 060101(R) How to Cite?
AbstractSymmetry shares an entwined history with the structure of physical theory. We propose a consequence of symmetry towards the axiomatic derivation of Hilbert space quantum theory. We introduce the notion of information symmetry (IS) and show that it constraints the state-space structure in any physical theory. To this end, we study the minimal error binary state discrimination problem in the framework of generalized probabilistic theories. A theory is said to satisfy IS if the probability of incorrectly identifying each of two randomly prepared states is the same for both the states. It is found that this simple principle rules out several classes of theories while being perfectly compatible with quantum theory.
Persistent Identifierhttp://hdl.handle.net/10722/290733
ISSN
2019 Impact Factor: 2.777
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorBanik, M-
dc.contributor.authorSaha, S-
dc.contributor.authorGuha, T-
dc.contributor.authorAgrawal, S-
dc.contributor.authorBhattacharya, SS-
dc.contributor.authorRoy, A-
dc.contributor.authorMajumdar, AS-
dc.date.accessioned2020-11-02T05:46:21Z-
dc.date.available2020-11-02T05:46:21Z-
dc.date.issued2019-
dc.identifier.citationPhysical Review A: covering atomic, molecular, and optical physics and quantum information, 2019, v. 100, p. article no. 060101(R)-
dc.identifier.issn2469-9926-
dc.identifier.urihttp://hdl.handle.net/10722/290733-
dc.description.abstractSymmetry shares an entwined history with the structure of physical theory. We propose a consequence of symmetry towards the axiomatic derivation of Hilbert space quantum theory. We introduce the notion of information symmetry (IS) and show that it constraints the state-space structure in any physical theory. To this end, we study the minimal error binary state discrimination problem in the framework of generalized probabilistic theories. A theory is said to satisfy IS if the probability of incorrectly identifying each of two randomly prepared states is the same for both the states. It is found that this simple principle rules out several classes of theories while being perfectly compatible with quantum theory.-
dc.languageeng-
dc.publisherAmerican Physical Society. The Journal's web site is located at http://journals.aps.org/pra/-
dc.relation.ispartofPhysical Review A: covering atomic, molecular, and optical physics and quantum information-
dc.rightsCopyright [2019] by The American Physical Society. This article is available online at [http://dx.doi.org/10.1103/PhysRevA.100.060101].-
dc.subjectBinary state-
dc.subjectInformation symmetries-
dc.subjectMinimal errors-
dc.subjectPhysical theory-
dc.subjectProbabilistic theory-
dc.titleConstraining the state space in any physical theory with the principle of information symmetry-
dc.typeArticle-
dc.identifier.emailBhattacharya, SS: some@hku.hk-
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1103/PhysRevA.100.060101-
dc.identifier.scopuseid_2-s2.0-85077235864-
dc.identifier.hkuros317862-
dc.identifier.volume100-
dc.identifier.spagearticle no. 060101(R)-
dc.identifier.epagearticle no. 060101(R)-
dc.identifier.isiWOS:000504429300001-
dc.publisher.placeUnited States-
dc.identifier.issnl2469-9926-

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