CoChat
Sign Up
Cited by 40Quantum Mechanics and ApplicationsQuantum Information and CryptographyQuantum many-body systems

All entangled states display some hidden nonlocality

Open access
Liang, Yeong-Cherng, Masanes, Lluís, Rosset, Denis·2012·Physical Review A
DOI 10.1103/physreva.86.052115
Open this paper in CoChat — free accountOpen PDF

Abstract

A well-known manifestation of quantum entanglement is that it may lead to correlations that are inexplicable within the framework of a locally causal theory---a fact that is demonstrated by the quantum violation of Bell inequalities. The precise relationship between quantum entanglement and the violation of Bell inequalities is, however, not well understood. While it is known that entanglement is necessary for such a violation, it is not clear whether all entangled states violate a Bell inequality, even in the scenario where one allows joint operations on multiple copies of the state and local filtering operations before the Bell experiment. In this paper we show that all entangled states, or more precisely, all not-fully-separable states of arbitrary Hilbert space dimension and arbitrary number of parties, violate a Bell inequality when combined with another state which on its own cannot violate the same Bell inequality. This result shows that quantum entanglement and quantum nonlocality are in some sense equivalent, thus giving an affirmative answer to the aforementioned open question. It follows from our result that two entangled states that are apparently useless in demonstrating quantum nonlocality via a specific Bell inequality can be combined to give a Bell violation of the same inequality. Explicit examples of such activation phenomenon are provided.

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1103/physreva.86.052115

Cites

53 of 53 references verified0 citation errors · 0 not checkable

Statistics

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • For pure quantum states |Ψ〉 that form the sole ontology of Everett's theory, it is always possible to define measurements inducing violations of some Bell's inequalities.

    “This is particularly problematic since it is known, at least for pure quantum states | Ψ 〉 that form the sole ontology of Everett's theory, that it is always possible to define measurements inducing violations of some Bell's inequalities [43].”

    From An Elementary Proof That Everett's Quantum Multiverse Is Nonlocal: Bell-Locality and Branch-Symmetry in the Many-Worlds Interpretation (2023) · cites this paper as [43]

    The Introduction (p. 1) says that all pure entangled states violate some Bell inequalities, supporting the claim for that subset. It also says entanglement is necessary, so the source does not support the claim for pure quantum states generally; it does not discuss Everett’s ontology. (LLM, conf=0.87)

    Experimental — accuracy not yet measured

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Cites

Flagged first, then by citations

Research works printed but not linked: 4

  1. [20]D. Cavalcanti, A. Ac´ ın, N. Brunner, and T. V´ ertesi, arXiv:1207.5485v1 (2012). · arXiv
  2. [28]E. M. Rains, e-print arXiv:quant-ph/9707002; V. Vedral and M. B. Plenio, Phys. Rev. A 57 , 1619 (1998). · arXiv
  3. [31]B. D. Craven, J. J. Koliha, SIAM J. Math. Anal. 8 , pp. 983 (1977).
  4. [44]J. Barrett, S. Pironio, J.-D. Bancal, N. Gisin, arXiv:1112.2626 (2011). · arXiv

Cited by

Sorted by citations

Related

Authors
Liang, Y.-C., Masanes, L., & Rosset, D.
Affiliations
  • University of Geneva (CH)
  • Institute of Photonic Sciences (ES)
ORCID
Venue
Physical Review A
Publisher
American Physical Society (APS)
Published
2012-11-19
Volume
86
Issue
5
ISSN
  • 0556-2791 (ISSN-L)
  • 1050-2947
  • 1094-1622
DOI
10.1103/physreva.86.052115
OpenAlex
W2085328135
Cited by
40
References
53
Citations by year
2026: 1 · 2025: 1 · 2023: 3 · 2022: 3 · 2021: 3 · 2020: 4 · 2019: 8 · 2017: 4 · 2016: 4 · 2015: 2 · 2014: 3 · 2013: 4
FWCI
1.49
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical Review A (publishedVersion)
  • arXiv (Cornell University) (publishedVersion)
  • Archive ouverte UNIGE (University of Geneva) (publishedVersion, other-oa)
  • UCL Discovery (University College London) (submittedVersion)
  • Archive ouverte UNIGE (University of Geneva) (submittedVersion, cc-by)
  • arXiv (Cornell University)
Funders
Agence Nationale de la Recherche (ANR-11-CHRI-0007)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
Keywords
quantum entanglement, quantum nonlocality, Bell inequality violation, entangled states, separable states, local filtering, local causality

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review