All-Versus-Nothing Violation of Local Realism for Two Entangled Photons
Open accessAbstract
It is shown that the Greenberger-Horne-Zeilinger theorem can be generalized to the case with only two entangled particles. The reasoning makes use of two photons which are maximally entangled both in polarization and in spatial degrees of freedom. In contrast to Cabello's argument of "all versus nothing" nonlocality with four photons [Phys. Rev. Lett. 87, 010403 (2001)]], our proposal to test the theorem can be implemented with linear optics and thus is well within the reach of current experimental technology.
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Polarization-path entanglement can be generated by a double pass of a pump laser through a BBO crystal.
“Polarization-path entanglement: Polarization-path entanglement can be generated by a double pass of a pump laser through a BBO crystal (Chen et al., 2003).”
From Multiphoton entanglement and interferometry (2012) · cites this paper as Chen et al., 2003
A third two-observer GHZ-like protocol uses two-photon hyper-entanglement, in which nine variables for each party can be regarded as simultaneous EPR elements of reality.
“A third protocol of the two-observer GHZ-like theorem uses a two-photon hyper-entanglement (Chen et al., 2003).Due to the specific properties of the hyperentanglement, nine variables for each party can be regarded as simultaneous EPR elements of reality.”
From Multiphoton entanglement and interferometry (2012) · cites this paper as Chen et al., 2003
An all-versus-nothing violation of local realism can be shown for two-particle four-dimensional entangled systems.
“Later, after a considerable debate (Cabello, 2001a(Cabello, , 2001b(Cabello, , 2003;;Lvovsky, 2002;Marinatto, 2003;Chen et al., 2003), it was shown that an all versus nothing violation of local realism can be shown for two particle four-dimensional entangled systems.”
From Multiphoton entanglement and interferometry (2012) · cites this paper as Chen et al., 2003
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References 27 · Cited by 77
- Authors
- Chen, Z.-B., Pan, J.-W., Zhang, Y.-D., Brukner, Č., & Zeilinger, A.
- Affiliations
- University of Science and Technology of China (CN)
- University of Vienna (AT)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2003-04-24
- Volume
- 90
- Issue
- 16
- Pages
- 160408-160408
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1994595647
- Cited by
- 77
- References
- 27
- Citations by year
- 2026: 1 · 2025: 3 · 2024: 5 · 2023: 3 · 2022: 3 · 2019: 1 · 2017: 2 · 2016: 1 · 2015: 4 · 2014: 2 · 2013: 1 · 2012: 4
- FWCI
- 4.86
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University)
- 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
- local realism, two-photon entanglement, polarization entanglement, spatial entanglement, nonlocality, linear optics, Bell inequality violation
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