Testing Quantum Nonlocality in Phase Space
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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.
“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]
On p. 2, the paper describes a pair of projection operators that distinguish an even from an odd number of detected photons. On p. 3, it identifies the resulting correlation with a displaced parity operator. It does not describe those operators as testing even and odd wavefunctions; its measurement concerns photon-number parity in an optical setup. (LLM, conf=0.86)
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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 · see citing works
On the Einstein Podolsky Rosen paradox
Bell, J. S. (1964) · Physics Physique Fizika · doi:10.1103/physicsphysiquefizika.1.195 · Cited by 12,252 · see citing works
On the Quantum Correction For Thermodynamic Equilibrium
Wigner, E. (1932) · Physical Review · doi:10.1103/physrev.40.749 · Cited by 9,283 · see citing works
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 · see citing works
Speakable and Unspeakable in Quatum Mechanics
Bell, J. S., & Mermin, N. D. (1988) · Physics Today · doi:10.1063/1.2811599 · Cited by 2,985 · see citing works
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 · see citing works
Quantum Theory: Concepts and Methods
Peres, A., & Ballentine, L. E. (1995) · American Journal of Physics · doi:10.1119/1.17946 · Cited by 2,561 · see citing works
Speakable and unspeakable in quantum mechanics
Whitaker, M. A. B. (1988) · Endeavour · doi:10.1016/0160-9327(88)90092-0 · Cited by 2,106 · see citing works
Quantum theory: Concepts and methods
Mermin, N. (1997) · Studies in History and Philosophy of Science Part B Studies in History and Philosophy of Modern Physics · doi:10.1016/s1355-2198(97)85538-4 · Cited by 1,914 · see citing works
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 1,687 · see citing works
Smithey, D. T., Beck, M., Raymer, M. G., & Faridani, A. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.1244 · Cited by 1,538 · see citing works
Experimental consequences of objective local theories
Clauser, J. F., & Horne, M. A. (1974) · Physical Review D · doi:10.1103/physrevd.10.526 · Cited by 1,537 · see citing works
Quantum theory of optical feedback via homodyne detection
Wiseman, H. M., & Milburn, G. J. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.548 · Cited by 630 · see citing works
Quantum optics in the phase space
Olivares, S. (2012) · The European Physical Journal Special Topics · doi:10.1140/epjst/e2012-01532-4 · Cited by 382 · see citing works
Wigner function as the expectation value of a parity operator
Royer, A. (1977) · Physical Review A · doi:10.1103/physreva.15.449 · Cited by 376 · see citing works
Nonlocality of a single photon
Tan, S. M., Walls, D. F., & Collett, M. J. (1991) · Physical Review Letters · doi:10.1103/physrevlett.66.252 · Cited by 358 · see citing works
Nonlocality of the Einstein-Podolsky-Rosen state in the Wigner representation
Banaszek, K., & Wódkiewicz, K. (1998) · Physical Review A · doi:10.1103/physreva.58.4345 · Cited by 357 · see citing works
Self-citationDirect Probing of Quantum Phase Space by Photon Counting
Banaszek, K., & Wódkiewicz, K. (1996) · Physical Review Letters · doi:10.1103/physrevlett.76.4344 · Cited by 340 · see citing works
Self-citationUnbalanced homodyning for quantum state measurements
Wallentowitz, S., & Vogel, W. (1996) · Physical Review A · doi:10.1103/physreva.53.4528 · Cited by 301 · see citing works
Nonlocality of a Single Photon Revisited
Hardy, L. (1994) · Physical Review Letters · doi:10.1103/physrevlett.73.2279 · Cited by 250 · see citing works
Nonlocality of a Single Photon?
Greenberger, D. M., Horne, M., & Zeilinger, A. (1995) · Physical Review Letters · doi:10.1103/physrevlett.75.2064 · Cited by 228 · see citing works
Series representation of quantum-field quasiprobabilities
Moya-Cessa, H. M., & Knight, P. L. (1993) · Physical Review A · doi:10.1103/physreva.48.2479 · Cited by 188 · see citing works
Foundations for Quantum Mechanics
Giles, R. (1970) · Journal of Mathematical Physics · doi:10.1063/1.1665373 · Cited by 131 · see citing works
One-atom maser: Statistics of detector clicks
Briegel, H., Englert, B., Sterpi, N., & WALTHER, H. (1994) · Physical Review A · doi:10.1103/physreva.49.2962 · Cited by 87 · see citing works
Nonlocality of the original Einstein-Podolsky-Rosen state
Cohen, O. (1997) · Physical Review A · doi:10.1103/physreva.56.3484 · Cited by 24 · see citing works
EPR correlations and EPW distributions revisited
Johansen, L. M. (1997) · Physics Letters A · doi:10.1016/s0375-9601(97)00784-6 · Cited by 22 · see citing works
A Bell inequality involving position, momentum and energy
Cetto, A. M., de la Peña, L., & Santos, E. (1985) · Physics Letters A · doi:10.1016/0375-9601(85)90170-7 · Cited by 15 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
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 · see citing works
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 1,125 · see citing works
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 · see citing works
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 · see citing works
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 641 · see citing works
Positive Wigner Functions Render Classical Simulation of Quantum Computation Efficient
Mari, A., & Eisert, J. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.230503 · Cited by 457 · see citing works
Spatial correlations in parametric down-conversion
Walborn, S. P., Monken, C. H., Pádua, S., & Ribeiro, P. H. S. (2010) · Physics Reports · doi:10.1016/j.physrep.2010.06.003 · Cited by 393 · see citing works
A Schrödinger cat living in two boxes
Wang, C., Gao, Y. Y., Reinhold, P., Heeres, R., Ofek, N., Chou, K., Axline, C. J., Reagor, M. J., Blumoff, J., Sliwa, K., et al. (2016) · Science · doi:10.1126/science.aaf2941 · Cited by 343 · see citing works
Non-Gaussian Quantum States and Where to Find Them
Walschaers, M. (2021) · PRX Quantum · doi:10.1103/prxquantum.2.030204 · Cited by 311 · see citing works
One-way Einstein-Podolsky-Rosen Steering
Bowles, J., Vértesi, T., Quintino, M. T., & Brunner, N. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.200402 · Cited by 279 · see citing works
Optical interferometry at the Heisenberg limit with twin Fock states and parity measurements
Campos, R. A., Gerry, C. C., & Benmoussa, A. (2003) · Physical Review A · doi:10.1103/physreva.68.023810 · Cited by 217 · see citing works
Proposed Test of Quantum Nonlocality for Continuous Variables
Nha, H., & Carmichael, H. J. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.020401 · Cited by 213 · see citing works
Quantifying non-Gaussianity for quantum information
Genoni, M. G., & Paris, M. G. A. (2010) · Physical Review A · doi:10.1103/physreva.82.052341 · Cited by 201 · see citing works
Maximal Violation of Bell’s Inequalities for Continuous Variable Systems
Chen, Z.-B., Pan, J.-W., Hou, G., & Zhang, Y.-D. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.040406 · Cited by 200 · see citing works
Convex resource theory of non-Gaussianity
Takagi, R., & Zhuang, Q. (2018) · Physical Review A · doi:10.1103/physreva.97.062337 · Cited by 189 · see citing works
Direct measurement of the Wigner function by photon counting
Banaszek, K., Radzewicz, C., Wódkiewicz, K., & Krasiński, J. S. (1999) · Physical Review A · doi:10.1103/physreva.60.674 · Cited by 193 · see citing works
Self-citationQuantum nonlocality test for continuous-variable states with dichotomic observables
Jeong, H., Son, W., Kim, M. S., Ahn, D., & Brukner, Č. (2003) · Physical Review A · doi:10.1103/physreva.67.012106 · Cited by 152 · see citing works
On-chip generation of high-order single-photon W-states
Gräfe, M., Heilmann, R., Perez-Leija, A., Keil, R., Dreisow, F., Heinrich, M., Moya-Cessa, H., Nolte, S., Christodoulides, D. N., & Szameit, A. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.204 · Cited by 148 · see citing works
The parity operator in quantum optical metrology
Gerry, C. C., & Mimih, J. (2010) · Contemporary Physics · doi:10.1080/00107514.2010.509995 · Cited by 136 · see citing works
Quantum versus classical domains for teleportation with continuous variables
Braunstein, S. L., Fuchs, C. A., Kimble, H. J., & van Loock, P. (2001) · Physical Review A · doi:10.1103/physreva.64.022321 · Cited by 136 · see citing works
Trusted Noise in Continuous-Variable Quantum Key Distribution: A Threat and a Defense
Usenko, V. C., & Filip, R. (2016) · Entropy · doi:10.3390/e18010020 · Cited by 120 · see citing works
Discrete Wigner functions and quantum computational speedup
Galvão, E. F. (2005) · Physical Review A · doi:10.1103/physreva.71.042302 · Cited by 120 · see citing works
Jeong, H., & An, N. B. (2006) · Physical Review A · doi:10.1103/physreva.74.022104 · Cited by 117 · see citing works
Homodyne Tomography Characterization and Nonlocality of a Dual-Mode Optical Qubit
Бабичев, С. А., Appel, J., & Lvovsky, A. I. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.193601 · Cited by 117 · see citing works
Quantum Receiver beyond the Standard Quantum Limit of Coherent Optical Communication
Tsujino, K., Fukuda, D., Fujii, G., Inoue, S., Fujiwara, M., Takeoka, M., & Sasaki, M. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.250503 · Cited by 116 · see citing works
Observing Dirac’s Classical Phase Space Analog to the Quantum State
Bamber, C., & Lundeen, J. S. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.070405 · Cited by 110 · see citing works
Non-Gaussianity as a Signature of a Quantum Theory of Gravity
Howl, R., Vedral, V., Naik, D., Christodoulou, M., Carlo Rovelli, C., & Iyer, A. (2021) · PRX Quantum · doi:10.1103/prxquantum.2.010325 · Cited by 106 · see citing works
Bell Inequalities for Continuous-Variable Correlations
Cavalcanti, E. G., Foster, C. J., Reid, M. D., & Drummond, P. D. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.210405 · Cited by 106 · see citing works
Dynamics of nonlocality for a two-mode squeezed state in a thermal environment
Jeong, H., Lee, J., & Kim, M. S. (2000) · Physical Review A · doi:10.1103/physreva.61.052101 · Cited by 105 · see citing works
Observation of micro–macro entanglement of light
Lvovsky, A. I., Ghobadi, R., Chandra, A., Prasad, A. S., & Simon, C. (2013) · Nature Physics · doi:10.1038/nphys2682 · Cited by 104 · see citing works
Kuzmich, A., Walmsley, I. A., & Mandeļ, L. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.1349 · Cited by 102 · see citing works
Keil, R., Pérez-Leija, A., Dreisow, F., Heinrich, M., Moya-Cessa, H. M., Nolte, S., Christodoulides, D. N., & Szameit, A. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.103601 · Cited by 95 · see citing works
Deterministic protocol for mapping a qubit to coherent state superpositions in a cavity
Leghtas, Z., Kirchmair, G., Vlastakis, B., Devoret, M., Schoelkopf, R. J., & Mirrahimi, M. (2013) · Physical Review A · doi:10.1103/physreva.87.042315 · Cited by 97 · see citing works
Ferraro, A., & Paris, M. G. A. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.260403 · Cited by 94 · see citing works
Obstructions to Bell CMB experiments
Martin, J., & Vennin, V. (2017) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.96.063501 · Cited by 81 · see citing works
Bound Entanglement and Continuous Variables
Horodecki, P., & Lewenstein, M. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.2657 · Cited by 72 · see citing works
Equivalence between contextuality and negativity of the Wigner function for qudits
Delfosse, N., Okay, C., Bermejo-Vega, J., Browne, D. E., & Raussendorf, R. (2017) · New Journal of Physics · doi:10.1088/1367-2630/aa8fe3 · Cited by 71 · see citing works
Quantum and classical correlations of intense beams of light investigated via joint photodetection
Agliati, A., Bondani, M., Andreoni, A., Cillis, G. D., & Paris, M. G. A. (2005) · Journal of Optics B Quantum and Semiclassical Optics · doi:10.1088/1464-4266/7/12/031 · Cited by 69 · see citing works
Visualizing operators of coupled spin systems
Garon, A., Zeier, R., & Glaser, S. J. (2015) · Physical Review A · doi:10.1103/physreva.91.042122 · Cited by 68 · see citing works
Greenberger-Horne-Zeilinger nonlocality in phase space
van Loock, P., & Braunstein, S. L. (2001) · Physical Review A · doi:10.1103/physreva.63.022106 · Cited by 64 · see citing works
Strong violations of Bell-type inequalities for path-entangled number states
Wildfeuer, C. F., Lund, A. P., & Dowling, J. P. (2007) · Physical Review A · doi:10.1103/physreva.76.052101 · Cited by 63 · see citing works
Quantum nonlocality for a mixed entangled coherent state
WILSON, D., Jeong, H., & KIM, M. S. (2002) · Journal of Modern Optics · doi:10.1080/09500340110109449 · Cited by 61 · see citing works
Bell’s inequality violation with non-negative Wigner functions
Revzen, M., Mello, P. A., Mann, A., & Johansen, L. M. (2005) · Physical Review A · doi:10.1103/physreva.71.022103 · Cited by 59 · see citing works
Violation of Bell’s inequality with continuous spatial variables
Abouraddy, A. F., Yarnall, T. M., Saleh, B. E. A., & Teich, M. C. (2007) · Physical Review A · doi:10.1103/physreva.75.052114 · Cited by 58 · see citing works
Guerreiro, T., Monteiro, F., Martin, A., Brask, J. B., Vértesi, T., Korzh, B. A., Caloz, M., Bussières, F., Verma, V. B., Lita, A. E., et al. (2016) · Physical Review Letters · doi:10.1103/physrevlett.117.070404 · Cited by 53 · see citing works
Xiong, W., & Ye, L. (2011) · Journal of the Optical Society of America B · doi:10.1364/josab.28.002030 · Cited by 52 · see citing works
Quantum nondemolition measurement of parity and generation of parity eigenstates in optical fields
Gerry, C. C., Benmoussa, A., & Campos, R. A. (2005) · Physical Review A · doi:10.1103/physreva.72.053818 · Cited by 49 · see citing works
A proposal to test Bell?s inequalities with mesoscopic non-local states in cavity QED
Milman, P., Auffèves, A., Yamaguchi, F., Brune, M., Raimond, J. M., & Haroche, S. (2004) · The European Physical Journal D · doi:10.1140/epjd/e2004-00171-6 · Cited by 46 · see citing works
Proposal for an Optomechanical Bell Test
Vivoli, V. C., Barnea, T. J., Galland, C., & Sangouard, N. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.070405 · Cited by 45 · see citing works
Classical Phase-Space Descriptions of Continuous-Variable Teleportation
Caves, C. M., & Wódkiewicz, K. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.040506 · Cited by 45 · see citing works
Self-citationQuantum teleportation in the spin-orbit variables of photon pairs
Khoury, A. Z., & Milman, P. (2011) · Physical Review A · doi:10.1103/physreva.83.060301 · Cited by 44 · see citing works
Biased EPR entanglement and its application to teleportation
Bowen, W. P., Lam, P. K., & Ralph, T. C. (2003) · Journal of Modern Optics · doi:10.1080/095003402101522620 · Cited by 44 · see citing works
Revealing Genuine Optical-Path Entanglement
Monteiro, F., Vivoli, V. C., Guerreiro, T., Martin, A., Bancal, J.-D., Zbinden, H., Thew, R., & Sangouard, N. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.170504 · Cited by 43 · see citing works
Quantum Nonlocality for a Mixed Entangled Coherent State
Wilson, D., Jeong, H., & Kim, M. S. (2001) · CERN Document Server (European Organization for Nuclear Research) · Cited by 43 · see citing works
Wang, H., Zhang, S., & Yeon, K. H. (2009) · The European Physical Journal D · doi:10.1140/epjd/e2009-00277-3 · Cited by 41 · see citing works
Cosmic Inflation, Quantum Information and the Pioneering Role of John S Bell in Cosmology
Martin, J. (2019) · Universe · doi:10.3390/universe5040092 · Cited by 42 · see citing works
Effect of noise and enhancement of nonlocality in on/off photodetection
Invernizzi, C., Olivares, S., Paris, M. G. A., & Banaszek, K. (2005) · Physical Review A · doi:10.1103/physreva.72.042105 · Cited by 41 · see citing works
Self-citationSeshadreesan, K. P., Olson, J. P., Motes, K. R., Rohde, P. P., & Dowling, J. P. (2015) · Physical Review A · doi:10.1103/physreva.91.022334 · Cited by 41 · see citing works
Bell inequalities for quantum optical fields
Żukowski, M., Wieśniak, M., & Laskowski, W. (2016) · Physical Review A · doi:10.1103/physreva.94.020102 · Cited by 40 · see citing works
Kwon, H., & Jeong, H. (2013) · Physical Review A · doi:10.1103/physreva.88.052127 · Cited by 39 · see citing works
Testing Nonclassicality and Non-Gaussianity in Phase Space
Park, J., Zhang, J., Lee, J., Ji, S.-W., Um, M., Lv, D., Kim, K., & Nha, H. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.190402 · Cited by 39 · see citing works
Maximally entangled coherent states and strong violations of Bell-type inequalities
Gerry, C. C., Mimih, J., & Benmoussa, A. (2009) · Physical Review A · doi:10.1103/physreva.80.022111 · Cited by 38 · see citing works
More nonlocality with less entanglement in a tripartite atom‐optomechanical system
Zhang, J., Zhang, T., Xuereb, A., Vitali, D., & Li, J. (2014) · Annalen der Physik · doi:10.1002/andp.201400107 · Cited by 37 · see citing works
Phase space correspondence between classical optics and quantum mechanics
Dragoman, D. (2002) · Progress in optics · doi:10.1016/s0079-6638(02)80029-4 · Cited by 37 · see citing works
Tomographic test of Bell’s inequality for a time-delocalized single photon
D’Angelo, M., Zavatta, A., Parigi, V., & Bellini, M. (2006) · Physical Review A · doi:10.1103/physreva.74.052114 · Cited by 37 · see citing works
Reid, M. D., Munro, W. J., & Martini, F. D. (2002) · Physical Review A · doi:10.1103/physreva.66.033801 · Cited by 37 · see citing works
Setting Up Experimental Bell Tests with Reinforcement Learning
Melnikov, A. A., Sekatski, P., & Sangouard, N. (2020) · Physical Review Letters · doi:10.1103/physrevlett.125.160401 · Cited by 35 · see citing works
State-independent quantum contextuality for continuous variables
Plastino, A. R., & Cabello, A. (2010) · Physical Review A · doi:10.1103/physreva.82.022114 · Cited by 35 · see citing works
Testing Bell inequalities with photon-subtracted Gaussian states
Jeong, H. (2008) · Physical Review A · doi:10.1103/physreva.78.042101 · Cited by 34 · see citing works
Jeong, H., & Ralph, T. C. (2007) · Physical Review A · doi:10.1103/physreva.76.042103 · Cited by 34 · see citing works
Leggett-Garg inequalities for squeezed states
Martin, J., & Vennin, V. (2016) · Physical Review A · doi:10.1103/physreva.94.052135 · Cited by 33 · see citing works
QUANTUM TELEPORTATION WITH PAIR-COHERENT STATES
GÁBRIS, A., & Agarwal, G. S. (2007) · International Journal of Quantum Information · doi:10.1142/s0219749907002475 · Cited by 33 · see citing works
Testing nonlocal realism with entangled coherent states
Paternostro, M., & Jeong, H. (2010) · Physical Review A · doi:10.1103/physreva.81.032115 · Cited by 32 · see citing works
The bell inequality: A measure of entanglementa?
Munro, W. J., Nemoto, K., & White, A. G. (2001) · Journal of Modern Optics · doi:10.1080/09500340108231766 · Cited by 36 · see citing works
Entropy and Wigner Distribution Functions Revisited
Włodarz, J. J. (2003) · International Journal of Theoretical Physics · doi:10.1023/a:1025439010479 · Cited by 33 · see citing works
Testing nonlocality of a single photon without a shared reference frame
Brask, J. B., Chaves, R., & Brunner, N. (2013) · Physical Review A · doi:10.1103/physreva.88.012111 · Cited by 32 · see citing works
Heralded Distribution of Single-Photon Path Entanglement
Caspar, P., Verbanis, E., Oudot, E., Maring, N., Samara, F., Caloz, M., Perrenoud, M., Sekatski, P., Martin, A., Sangouard, N., et al. (2020) · Physical Review Letters · doi:10.1103/physrevlett.125.110506 · Cited by 32 · see citing works
Bipartite temporal Bell inequalities for two-mode squeezed states
Ando, K., & Vennin, V. (2020) · Physical Review A · doi:10.1103/physreva.102.052213 · Cited by 32 · see citing works
Banaszek, K., Dragan, A., Wódkiewicz, K., & Radzewicz, C. (2002) · Physical Review A · doi:10.1103/physreva.66.043803 · Cited by 32 · see citing works
Self-citationOptimization of Bell's inequality violation for continuous variable systems
Gour, G., Khanna, F. C., Mann, A., & Revzen, M. (2004) · Physics Letters A · doi:10.1016/j.physleta.2004.03.018 · Cited by 32 · see citing works
Faithful test of nonlocal realism with entangled coherent states
Lee, C.-W., Paternostro, M., & Jeong, H. (2011) · Physical Review A · doi:10.1103/physreva.83.022102 · Cited by 30 · see citing works
Franco, R. L., Compagno, G., MESSINA, A., & Napoli, A. (2005) · Physical Review A · doi:10.1103/physreva.72.053806 · Cited by 31 · see citing works
Nonlocality of the Schrödinger cat
Wódkiewicz, K. (2000) · New Journal of Physics · doi:10.1088/1367-2630/2/1/321 · Cited by 30 · see citing works
Self-citationTesting quantum nonlocality by generalized quasiprobability functions
Lee, S.-W., Jeong, H., & Jaksch, D. (2009) · Physical Review A · doi:10.1103/physreva.80.022104 · Cited by 30 · see citing works
Enhanced Bell violation by a coherent superposition of photon subtraction and addition
Park, J., Lee, S.-Y., Lee, H.-W., & Nha, H. (2012) · Journal of the Optical Society of America B · doi:10.1364/josab.29.000906 · Cited by 30 · see citing works
Wigner function and Schrödinger equation in phase-space representation
Chruściński, D., & Młodawski, K. (2005) · Physical Review A · doi:10.1103/physreva.71.052104 · Cited by 30 · see citing works
Experimental violation of a Bell-like inequality with optical vortex beams
Stoklasa, B., Motka, L., Řeháček, J., Hradil, Z., Sánchez-Soto, L. L., & Agarwal, G. S. (2015) · New Journal of Physics · doi:10.1088/1367-2630/17/11/113046 · Cited by 29 · see citing works
Chowdhury, P., Majumdar, A. S., & Agarwal, G. S. (2013) · Physical Review A · doi:10.1103/physreva.88.013830 · Cited by 29 · see citing works
Hybrid methods for witnessing entanglement in a microscopic-macroscopic system
Spagnolo, N., Vitelli, C., Paternostro, M., Martini, F. D., & Sciarrino, F. (2011) · Physical Review A · doi:10.1103/physreva.84.032102 · Cited by 29 · see citing works
Proposal for a Bell test in cavity optomagnonics
Xie, H., Shi, Z., He, L., Chen, X., Liao, C.-G., & Lin, X. (2022) · Physical Review A · doi:10.1103/physreva.105.023701 · Cited by 29 · see citing works
Stronger steerability criterion for more uncertain continuous-variable systems
Chowdhury, P., Pramanik, T., & Majumdar, A. S. (2015) · Physical Review A · doi:10.1103/physreva.92.042317 · Cited by 29 · see citing works
Heralded amplification of path entangled quantum states
Monteiro, F., Verbanis, E., Vivoli, V. C., Martin, A., Gisin, N., Zbinden, H., & Thew, R. (2017) · Quantum Science and Technology · doi:10.1088/2058-9565/aa70ad · Cited by 29 · see citing works
Integrated photonic quantum walks
Gräfe, M., & Szameit, A. (2020) · Journal of Physics B: Atomic, Molecular and Optical Physics · doi:10.1088/1361-6455/ab6cfc · Cited by 28 · see citing works
Stabilization of nonclassical states of one- and two-mode radiation fields by reservoir engineering
Sarlette, A., Leghtas, Z., Brune, M., Raimond, J. M., & Rouchon, P. (2012) · Physical Review A · doi:10.1103/physreva.86.012114 · Cited by 28 · see citing works
Searching for extremal PPT entangled states
Augusiak, R., Grabowski, J., Kuś, M., & Lewenstein, M. (2009) · Optics Communications · doi:10.1016/j.optcom.2009.10.050 · Cited by 27 · see citing works
Ghobadi, R., Lvovsky, A. I., & Simon, C. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.170406 · Cited by 27 · see citing works
Real-space Bell inequalities in de Sitter
Espinosa-Portalés, L., & Vennin, V. (2022) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2022/07/037 · Cited by 26 · see citing works
Haroche, S., Brune, M., & Raimond, J. M. (2007) · Journal of Modern Optics · doi:10.1080/09500340701391118 · Cited by 26 · see citing works
Proposal to Test Bell’s Inequality in Electromechanics
Höfer, S., Lehnert, K. W., & Hammerer, K. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.070406 · Cited by 25 · see citing works
Comparing quantumness criteria
Martin, J., Micheli, A., & Vennin, V. (2023) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/acc3be · Cited by 25 · see citing works
- 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 › Computer Science › Artificial Intelligence › 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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