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Testing Quantum Nonlocality in Phase Space
Open accessAbstract
We propose an experimental scheme for testing nonlocality of a correlated two-mode quantum state of light. We show that the correlation functions violating the Bell inequalities in the proposed experiment are equal to the joint two-mode $Q$ function and the Wigner function. This assigns a novel operational meaning to these two quasidistribution functions in tests of quantum nonlocality and also establishes a direct relationship between two intriguing aspects of quantum mechanics: the nonlocality of entangled states and the noncommutativity of quantum observables, which underlies the nonclassical structure of the phase-space quasidistribution functions.
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“For continuous variables like position and momentum, these operators may include parity and two other variables that test even and odd wavefunctions [34][35][36][37][38].”
From Exactly solvable 2D model for photon propagation in curved space: loss of interference and Bell inequality violation (2022) · cites this paper as [35]
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Metadata
- Authors
- Banaszek, K., & Wódkiewicz, K.
- Affiliations
- University of Warsaw (PL)
- ORCID
- Banaszek, Konrad
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1999-03-08
- Volume
- 82
- Issue
- 10
- Pages
- 2009-2013
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2035228018
- Cited by
- 338
- References
- 27
- Citations by year
- 2026: 13 · 2025: 8 · 2024: 7 · 2023: 17 · 2022: 16 · 2021: 15 · 2020: 10 · 2019: 12 · 2018: 7 · 2017: 14 · 2016: 18 · 2015: 18 · 2014: 13 · 2013: 15 · 2012: 9
- FWCI
- 8.75
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
- Keywords
- quantum nonlocality, Bell inequality violation, two-mode entangled states, Wigner function, Q-function, tests of quantum mechanics
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