How ψ-epistemic models fail at explaining the indistinguishability of quantum states.
Identifieur interne : 003639 ( PubMed/Corpus ); précédent : 003638; suivant : 003640How ψ-epistemic models fail at explaining the indistinguishability of quantum states.
Auteurs : Cyril BranciardSource :
- Physical review letters [ 1079-7114 ] ; 2014.
Abstract
We study the extent to which ψ-epistemic models for quantum measurement statistics-models where the quantum state does not have a real, ontic status-can explain the indistinguishability of nonorthogonal quantum states. This is done by comparing the overlap of any two quantum states with the overlap of the corresponding classical probability distributions over ontic states in a ψ-epistemic model. It is shown that in Hilbert spaces of dimension d≥4, the ratio between the classical and quantum overlaps in any ψ-epistemic model must be arbitrarily small for certain nonorthogonal states, suggesting that such models are arbitrarily bad at explaining the indistinguishability of quantum states. For dimensions d=3 and 4, we construct explicit states and measurements that can be used experimentally to put stringent bounds on the ratio of classical-to-quantum overlaps in ψ-epistemic models, allowing one in particular to rule out maximally ψ-epistemic models more efficiently than previously proposed.
DOI: 10.1103/PhysRevLett.113.020409
PubMed: 25062150
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<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en">How ψ-epistemic models fail at explaining the indistinguishability of quantum states.</title><author><name sortKey="Branciard, Cyril" sort="Branciard, Cyril" uniqKey="Branciard C" first="Cyril" last="Branciard">Cyril Branciard</name><affiliation><nlm:affiliation>School of Mathematics and Physics, The University of Queensland, Brisbane, QLD 4072, Australia and Institut Néel, CNRS and Université Grenoble Alpes, 38042 Grenoble Cedex 9, France.</nlm:affiliation></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">PubMed</idno><date when="2014">2014</date><idno type="RBID">pubmed:25062150</idno><idno type="pmid">25062150</idno><idno type="doi">10.1103/PhysRevLett.113.020409</idno><idno type="wicri:Area/PubMed/Corpus">003639</idno><idno type="wicri:explorRef" wicri:stream="PubMed" wicri:step="Corpus" wicri:corpus="PubMed">003639</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en">How ψ-epistemic models fail at explaining the indistinguishability of quantum states.</title><author><name sortKey="Branciard, Cyril" sort="Branciard, Cyril" uniqKey="Branciard C" first="Cyril" last="Branciard">Cyril Branciard</name><affiliation><nlm:affiliation>School of Mathematics and Physics, The University of Queensland, Brisbane, QLD 4072, Australia and Institut Néel, CNRS and Université Grenoble Alpes, 38042 Grenoble Cedex 9, France.</nlm:affiliation></affiliation></author></analytic><series><title level="j">Physical review letters</title><idno type="eISSN">1079-7114</idno><imprint><date when="2014" type="published">2014</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">We study the extent to which ψ-epistemic models for quantum measurement statistics-models where the quantum state does not have a real, ontic status-can explain the indistinguishability of nonorthogonal quantum states. This is done by comparing the overlap of any two quantum states with the overlap of the corresponding classical probability distributions over ontic states in a ψ-epistemic model. It is shown that in Hilbert spaces of dimension d≥4, the ratio between the classical and quantum overlaps in any ψ-epistemic model must be arbitrarily small for certain nonorthogonal states, suggesting that such models are arbitrarily bad at explaining the indistinguishability of quantum states. For dimensions d=3 and 4, we construct explicit states and measurements that can be used experimentally to put stringent bounds on the ratio of classical-to-quantum overlaps in ψ-epistemic models, allowing one in particular to rule out maximally ψ-epistemic models more efficiently than previously proposed.</div></front></TEI><pubmed><MedlineCitation Status="PubMed-not-MEDLINE" Owner="NLM"><PMID Version="1">25062150</PMID><DateCreated><Year>2014</Year><Month>07</Month><Day>26</Day></DateCreated><DateCompleted><Year>2015</Year><Month>05</Month><Day>12</Day></DateCompleted><DateRevised><Year>2014</Year><Month>07</Month><Day>26</Day></DateRevised><Article PubModel="Print-Electronic"><Journal><ISSN IssnType="Electronic">1079-7114</ISSN><JournalIssue CitedMedium="Internet"><Volume>113</Volume><Issue>2</Issue><PubDate><Year>2014</Year><Month>Jul</Month><Day>11</Day></PubDate></JournalIssue><Title>Physical review letters</Title><ISOAbbreviation>Phys. Rev. Lett.</ISOAbbreviation></Journal><ArticleTitle>How ψ-epistemic models fail at explaining the indistinguishability of quantum states.</ArticleTitle><Pagination><MedlinePgn>020409</MedlinePgn></Pagination><Abstract><AbstractText>We study the extent to which ψ-epistemic models for quantum measurement statistics-models where the quantum state does not have a real, ontic status-can explain the indistinguishability of nonorthogonal quantum states. This is done by comparing the overlap of any two quantum states with the overlap of the corresponding classical probability distributions over ontic states in a ψ-epistemic model. It is shown that in Hilbert spaces of dimension d≥4, the ratio between the classical and quantum overlaps in any ψ-epistemic model must be arbitrarily small for certain nonorthogonal states, suggesting that such models are arbitrarily bad at explaining the indistinguishability of quantum states. For dimensions d=3 and 4, we construct explicit states and measurements that can be used experimentally to put stringent bounds on the ratio of classical-to-quantum overlaps in ψ-epistemic models, allowing one in particular to rule out maximally ψ-epistemic models more efficiently than previously proposed.</AbstractText></Abstract><AuthorList CompleteYN="Y"><Author ValidYN="Y"><LastName>Branciard</LastName><ForeName>Cyril</ForeName><Initials>C</Initials><AffiliationInfo><Affiliation>School of Mathematics and Physics, The University of Queensland, Brisbane, QLD 4072, Australia and Institut Néel, CNRS and Université Grenoble Alpes, 38042 Grenoble Cedex 9, France.</Affiliation></AffiliationInfo></Author></AuthorList><Language>eng</Language><PublicationTypeList><PublicationType UI="D016428">Journal Article</PublicationType></PublicationTypeList><ArticleDate DateType="Electronic"><Year>2014</Year><Month>07</Month><Day>10</Day></ArticleDate></Article><MedlineJournalInfo><Country>United States</Country><MedlineTA>Phys Rev Lett</MedlineTA><NlmUniqueID>0401141</NlmUniqueID><ISSNLinking>0031-9007</ISSNLinking></MedlineJournalInfo></MedlineCitation><PubmedData><History><PubMedPubDate PubStatus="received"><Year>2014</Year><Month>03</Month><Day>21</Day></PubMedPubDate><PubMedPubDate PubStatus="entrez"><Year>2014</Year><Month>7</Month><Day>26</Day><Hour>6</Hour><Minute>0</Minute></PubMedPubDate><PubMedPubDate PubStatus="pubmed"><Year>2014</Year><Month>7</Month><Day>26</Day><Hour>6</Hour><Minute>0</Minute></PubMedPubDate><PubMedPubDate PubStatus="medline"><Year>2014</Year><Month>7</Month><Day>26</Day><Hour>6</Hour><Minute>1</Minute></PubMedPubDate></History><PublicationStatus>ppublish</PublicationStatus><ArticleIdList><ArticleId IdType="pubmed">25062150</ArticleId><ArticleId IdType="doi">10.1103/PhysRevLett.113.020409</ArticleId></ArticleIdList></PubmedData></pubmed></record>Pour manipuler ce document sous Unix (Dilib)
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