The DOI matches its Crossref record; 27 of the 27 references it cites were found in a registry or an index.
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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Cites
Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
Einstein, A., Podolsky, B., & Rosen, N. (1935) · Physical Review · doi:10.1103/physrev.47.777 · Cited by 16,654
On the Einstein Podolsky Rosen paradox
Bell, J. S. (1964) · Physics Physique Fizika · doi:10.1103/physicsphysiquefizika.1.195 · Cited by 12,252
On the Quantum Correction For Thermodynamic Equilibrium
Wigner, E. (1932) · Physical Review · doi:10.1103/physrev.40.749 · Cited by 9,283
Proposed Experiment to Test Local Hidden-Variable Theories
Clauser, J. F., Horne, M. A., Shimony, A., & Holt, R. A. (1969) · Physical Review Letters · doi:10.1103/physrevlett.23.880 · Cited by 7,573
Speakable and Unspeakable in Quatum Mechanics
Bell, J. S., & Mermin, N. D. (1988) · Physics Today · doi:10.1063/1.2811599 · Cited by 2,985
Distribution functions in physics: Fundamentals
Hillery, M. S., O’Connell, R. F., Scully, M. O., & Wigner, E. P. (1984) · Physics Reports · doi:10.1016/0370-1573(84)90160-1 · Cited by 2,932
Quantum Theory: Concepts and Methods
Peres, A., & Ballentine, L. E. (1995) · American Journal of Physics · doi:10.1119/1.17946 · Cited by 2,561
Speakable and unspeakable in quantum mechanics
Whitaker, M. A. B. (1988) · Endeavour · doi:10.1016/0160-9327(88)90092-0 · Cited by 2,228
Distribution Functions in Physics: Fundamentals
Hillery, M. S., O’Connell, R. F., Scully, M. O., & Wigner, E. P. (1997) · Springer eBooks · doi:10.1007/978-3-642-59033-7_28 · Cited by 1,803
Smithey, D. T., Beck, M., Raymer, M. G., & Faridani, A. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.1244 · Cited by 1,538
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- J. S. Bell, 1971, Foundations of Quantum Mechanics,
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Brunner, N., Cavalcanti, D., Pironio, S., Scarani, V., & Wehner, S. (2014) · Reviews of Modern Physics · doi:10.1103/revmodphys.86.419 · Cited by 2,688
Continuous-variable optical quantum-state tomography
Lvovsky, A. I., & Raymer, M. G. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.299 · Cited by 1,185
Scalable Photonic Quantum Computation through Cavity-Assisted Interactions
Duan, L., & Kimble, H. J. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.127902 · Cited by 864
Negativity of the Wigner function as an indicator of non-classicality
Kenfack, A., & yczkowski, K. (2004) · Journal of Optics B: Quantum and Semiclassical Optics · doi:10.1088/1464-4266/6/10/003 · Cited by 779
Quantum State Reconstruction of the Single-Photon Fock State
Lvovsky, A. I., Hansen, H., Aichele, T., Benson, O. J., Mlynek, J., & Schiller, S. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.050402 · Cited by 648
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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