Hardy’s approach, Eberhard’s inequality, and supplementary assumptions
Abstract
Hardy's formulation of the Einstein-Podolsky-Roser paradox and the usual formulation based on Bell-type inequalities are compared. The role of the supplementary assumptions in an experimental test based on Hardy's approach is discussed. It is proved that even in Hardy's approach the supplementary assumptions play a fundamental role in refusing Einstein locality on the basis of the experimental results. The lowest value of quantum efficiency for a loophole-free experiment based on Hardy's approach is deduced.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
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?
Non-maximally entangled states allow logical arguments that demonstrate the nonlocality of quantum mechanics without inequalities.
“as well as allowing logical arguments that demonstrate the nonlocality of quantum mechanics without inequalities [14-16].”
From Nonmaximally Entangled States: Production, Characterization, and Utilization (1999) · cites this paper as [16]
More generally, P12(β,-β) > P12(α,-α) + P12(β,-α⊥) + P12(α⊥,-β), which is the inequality to be tested experimentally.
“More generally, P 12 ( β, -β ) > P 12 ( α, -α ) + P 12 ( β, -α ⊥ ) + P 12 ( α ⊥ , -β ), which is the inequality to be tested experimentally [16].”
From Nonmaximally Entangled States: Production, Characterization, and Utilization (1999) · cites this paper as [16]
Cited by
Sorted by citations
Ultrabright source of polarization-entangled photons
Kwiat, P. G., Waks, E., White, A. G., Appelbaum, I., & Eberhard, P. H. (1999) · Physical Review A · doi:10.1103/physreva.60.r773 · Cited by 1,142 · see citing works
Nonmaximally Entangled States: Production, Characterization, and Utilization
White, A. G., James, D. F. V., Eberhard, P. H., & Kwiat, P. G. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.3103 · Cited by 511 · see citing works
- Authors
- Garuccio, A.
- Affiliations
- Istituto Nazionale di Fisica Nucleare, Sezione di Bari (IT)
- Corresponding author
- Garuccio, Augusto
- ORCID
- Garuccio, Augusto
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1995-10-01
- Volume
- 52
- Issue
- 4
- Pages
- 2535-2537
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2093069137
- Cited by
- 53
- References
- 0
- Citations by year
- 2024: 1 · 2023: 3 · 2019: 2 · 2017: 2 · 2015: 1 · 2014: 1 · 2013: 1 · 2012: 4
- FWCI
- 1.71
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review A (publishedVersion)
- PubMed (publishedVersion)
- CINECA IRIS Institutional Research Information System (University of Bari Aldo Moro) (submittedVersion)
- 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 › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- EPR paradox, Bell inequalities, locality, quantum efficiency, quantum nonlocality
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
