How ψ-epistemic models fail at explaining the indistinguishability of quantum states

Branciard, Cyril (2014) How ψ-epistemic models fail at explaining the indistinguishability of quantum states. Physical Review Letters, 113 2: 020409-1-020409-5. doi:10.1103/PhysRevLett.113.020409

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Author Branciard, Cyril
Title How ψ-epistemic models fail at explaining the indistinguishability of quantum states
Formatted title
How ψ-epistemic models fail at explaining the indistinguishability of quantum states
Journal name Physical Review Letters   Check publisher's open access policy
ISSN 1079-7114
0031-9007
Publication date 2014-07-10
Year available 2014
Sub-type Article (original research)
DOI 10.1103/PhysRevLett.113.020409
Open Access Status File (Publisher version)
Volume 113
Issue 2
Start page 020409-1
End page 020409-5
Total pages 5
Place of publication College Park, MD, United States
Publisher American Physical Society
Collection year 2015
Language eng
Formatted 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.
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2015 Collection
 
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Citation counts: TR Web of Science Citation Count  Cited 5 times in Thomson Reuters Web of Science Article | Citations
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