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Bell’s Theorem, Quantum Theory and Conceptions of the Universe
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“Therefore, the locality condition conflicts with quantum mechanics; quantum mechanics is nonlocal.”
From An Elementary Proof That Everett's Quantum Multiverse Is Nonlocal: Bell-Locality and Branch-Symmetry in the Many-Worlds Interpretation (2023) · cites this paper as [5]
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Information theory of quantum entanglement and measurement
Cerf, N. J., & Adami, C. (1998) · Physica D Nonlinear Phenomena · doi:10.1016/s0167-2789(98)00045-1 · Cited by 191
Joint remote state preparation
An, N. B., & Kim, J. (2008) · Journal of Physics B Atomic Molecular and Optical Physics · doi:10.1088/0953-4075/41/9/095501 · Cited by 181
Security analysis and improvements of arbitrated quantum signature schemes
Zou, X., & Qiu, D. (2010) · Physical Review A · doi:10.1103/physreva.82.042325 · Cited by 181
Schlienz, J., & Mahler, G. (1995) · Physical Review A · doi:10.1103/physreva.52.4396 · Cited by 172
The Evolution of Quantum Secure Direct Communication: On the Road to the Qinternet
Pan, D., Long, G., Yin, L., Sheng, Y., Ruan, D., Ng, S. X., Lü, J., & Hanzo, L. (2024) · IEEE Communications Surveys & Tutorials · doi:10.1109/comst.2024.3367535 · Cited by 211
“(9), other members of the entangled state family include the GHZ states [123], [124] defined as: and the W-state [125] They have been widely used in quantum communication protocols.”
Hayashi, M., Markham, D., Murao, M., Owari, M., & Virmani, S. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.040501 · Cited by 179
Distributed Quantum Dense Coding
Bruß, D., D’Ariano, G. M., Lewenstein, M., Macchiavello, C., Sen(De), A., & Sen, U. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.210501 · Cited by 174
Quantum teleportation of an entangled state
Ikram, M., Zhu, S.-Y., & Zubairy, M. S. (2000) · Physical Review A · doi:10.1103/physreva.62.022307 · Cited by 176
Quantum fidelity measures for mixed states
Liang, Y.-C., Yeh, Y.-H., Mendonça, P. E. M. F., Teh, R. Y., Reid, M. D., & Drummond, P. D. (2019) · Reports on Progress in Physics · doi:10.1088/1361-6633/ab1ca4 · Cited by 203
Finite Precision Measurement Nullifies the Kochen-Specker Theorem
Meyer, D. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.3751 · Cited by 172
Ladder Proof of Nonlocality without Inequalities: Theoretical and Experimental Results
Boschi, D., Branca, S., De Martini, F., & Hardy, L. (1997) · Physical Review Letters · doi:10.1103/physrevlett.79.2755 · Cited by 170
Unified quantification of nonclassicality and entanglement
Vogel, W., & Sperling, J. (2014) · Physical Review A · doi:10.1103/physreva.89.052302 · Cited by 170
Efficient tools for quantum metrology with uncorrelated noise
Kołodyński, J., & Demkowicz-Dobrzański, R. (2013) · New Journal of Physics · doi:10.1088/1367-2630/15/7/073043 · Cited by 176
Mutually unbiased binary observable sets onNqubits
Lawrence, J., Brukner, Č., & Zeilinger, A. (2002) · Physical Review A · doi:10.1103/physreva.65.032320 · Cited by 158
Genuinely multipartite entangled states and orthogonal arrays
Goyeneche, D., & Życzkowski, K. (2014) · Physical Review A · doi:10.1103/physreva.90.022316 · Cited by 157
Quantum secret sharing based on reusable Greenberger-Horne-Zeilinger states as secure carriers
Bagherinezhad, S., & Karimipour, V. (2003) · Physical Review A · doi:10.1103/physreva.67.044302 · Cited by 161
“In their method which is inspired by the quantum key distribution method of Bennett and Brasard [4], and Ekert[5], Alice, Bob and Charlie share a Greenberger-Horne-Zeilinger (GHZ) state [6].”
MethodQuantifying entanglement in macroscopic systems
Vedral, V. (2008) · Nature · doi:10.1038/nature07124 · Cited by 156
Classical wave-optics analogy of quantum-information processing
Spreeuw, R. J. C. (2001) · Physical Review A · doi:10.1103/physreva.63.062302 · Cited by 154
Do We Really Understand Quantum Mechanics?
Laloë, F. (2012) · Cambridge University Press eBooks · doi:10.1017/9781108569361 · Cited by 171
Geometry of the set of quantum correlations
Goh, K. T., Kaniewski, J., Wolfe, E., Vértesi, T., Wu, X., Cai, Y., Liang, Y.-C., & Scarani, V. (2018) · Physical Review A · doi:10.1103/physreva.97.022104 · Cited by 170
Advances in the quantum internet
Gyöngyösi, L., & Imre, S. (2022) · Communications of the ACM · doi:10.1145/3524455 · Cited by 162
Zhu, S.-L., Wang, Z. D., & Zanardi, P. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.100502 · Cited by 150
Heisenberg-limit interferometry with four-wave mixers operating in a nonlinear regime
Gerry, C. C. (2000) · Physical Review A · doi:10.1103/physreva.61.043811 · Cited by 154
“All versus Nothing” Inseparability for Two Observers
Cabello, A. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.010403 · Cited by 153
Criticality-Enhanced Quantum Sensing via Continuous Measurement
Ilias, T., Yang, D., Huelga, S. F., & Plenio, M. B. (2022) · PRX Quantum · doi:10.1103/prxquantum.3.010354 · Cited by 170
Contextual Fraction as a Measure of Contextuality
Abramsky, S., Barbosa, R. S., & Mansfield, S. (2017) · Physical Review Letters · doi:10.1103/physrevlett.119.050504 · Cited by 165
Entanglement dynamics in the Lipkin-Meshkov-Glick model
Vidal, J., Palacios, G., & Aslangul, C. (2004) · Physical Review A · doi:10.1103/physreva.70.062304 · Cited by 149
Quantum scheme for secret sharing based on local distinguishability
Rahaman, R., & Parker, M. G. (2015) · Physical Review A · doi:10.1103/physreva.91.022330 · Cited by 144
Biocomplexity: adaptive behavior in complex stochastic dynamical systems
Freeman, W., Kozma, R., & Werbos, P. J. (2001) · Biosystems · doi:10.1016/s0303-2647(00)00146-5 · Cited by 147
Kaniewski, J. (2016) · Physical Review Letters · doi:10.1103/physrevlett.117.070402 · Cited by 144
Krenn, M., Hochrainer, A., Lahiri, M., & Zeilinger, A. (2017) · Physical Review Letters · doi:10.1103/physrevlett.118.080401 · Cited by 146
“[13] Daniel M Greenberger, Michael A Horne, and Anton Zeilinger.”
BackgroundMethodMultipartite entanglement for entanglement teleportation
Lee, J., Min, H., & Oh, S. D. (2002) · Physical Review A · doi:10.1103/physreva.66.052318 · Cited by 146
Secret sharing with a single d -level quantum system
Tavakoli, A., Herbauts, I., Żukowski, M., & Bourennane, M. (2015) · Physical Review A · doi:10.1103/physreva.92.030302 · Cited by 142
Nonlocality, Lorentz invariance, and Bohmian quantum theory
Berndl, K., Dürr, D., Goldstein, S., & Zanghı̀, N. (1996) · Physical Review A · doi:10.1103/physreva.53.2062 · Cited by 152
“The assertion (∗) is more or less an immediate consequence of any of the no-hidden-variables-nonlocality theorems—Bell’s [1], that of Clauser, Horne, Shimony, Holt [27], that of Greenberger, Horne, Zeilinger [28] (see also [29]), or what have you—for the spin components of a multiparticle system:…”
BackgroundQuantum Communication Complexity
Gilles Brassard, A. (2003) · Foundations of Physics · doi:10.1023/a:1026009100467 · Cited by 146
Unified criteria for multipartite quantum nonlocality
Cavalcanti, E. G., He, Q., Reid, M. D., & Wiseman, H. M. (2011) · Physical Review A · doi:10.1103/physreva.84.032115 · Cited by 143
Genuine multiqubit entanglement and controlled teleportation
Man, Z., Xia, Y., & An, N. B. (2007) · Physical Review A · doi:10.1103/physreva.75.052306 · Cited by 143
Reconstruction of Gaussian quantum mechanics from Liouville mechanics with an epistemic restriction
Bartlett, S. D., Rudolph, T., & Spekkens, R. W. (2012) · Physical Review A · doi:10.1103/physreva.86.012103 · Cited by 147
Bell's Theorem without Inequalities and without Probabilities for Two Observers
Cabello, A. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.1911 · Cited by 141
Zeilinger, A., Weihs, G., Jennewein, T. D., & Aspelmeyer, M. (2005) · Nature · doi:10.1038/nature03280 · Cited by 145
Lectures on General Quantum Correlations and their Applications
Dhar, H. S., Pal, A. K., Rakshit, D., De, A. S., & Sen, U. (2017) · Quantum science and technology · doi:10.1007/978-3-319-53412-1 · Cited by 153
Perseguers, S., Lewenstein, M., Acín, A., & Cirac, J. I. (2010) · Nature Physics · doi:10.1038/nphys1665 · Cited by 139
Channel capacities versus entanglement measures in multiparty quantum states
Sen, A., & Sen, U. (2010) · Physical Review A · doi:10.1103/physreva.81.012308 · Cited by 139
Feasible “Kochen-Specker” Experiment with Single Particles
Simon, C., Żukowski, M., Weinfurter, H., & Zeilinger, A. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.1783 · Cited by 142
Quantum nonlocality for each pair in an ensemble
Elitzur, A. C., Popescu, S., & Rohrlich, D. (1992) · Physics Letters A · doi:10.1016/0375-9601(92)90952-i · Cited by 141
Multipartite entanglement that is robust against disposal of particles
Dür, W. (2001) · Physical Review A · doi:10.1103/physreva.63.020303 · Cited by 137
Greenberger-Horne-Zeilinger versus W states: Quantum teleportation through noisy channels
Jung, E., Hwang, M.-R., Ju, Y. H., et al. (2008) · Physical Review A · doi:10.1103/physreva.78.012312 · Cited by 137
Tsallis entropy and entanglement constraints in multiqubit systems
Kim, J. S. (2010) · Physical Review A · doi:10.1103/physreva.81.062328 · Cited by 132
Quantum-information processing and multiatom-entanglement engineering with a thermal cavity
Zheng, S. (2002) · Physical Review A · doi:10.1103/physreva.66.060303 · Cited by 132
Entangled photons and quantum communication
Yuan, Z.-S., Bao, X., Lu, C., Zhang, J., Peng, C.-Z., & Pan, J.-W. (2010) · Physics Reports · doi:10.1016/j.physrep.2010.07.004 · Cited by 133
Quantum computing with neutral atoms
Briegel, H. J., Calarco, T., Jaksch, D., Cirac, J. I., & Zoller, P. (2000) · Journal of Modern Optics · doi:10.1080/09500340008244052 · Cited by 164
Multiparticle entanglement under the influence of decoherence
Gühne, O., Bodoky, F., & Blaauboer, M. (2008) · Physical Review A · doi:10.1103/physreva.78.060301 · Cited by 136
SupermarQ: A Scalable Quantum Benchmark Suite
Tomesh, T., Gokhale, P., Omole, V., Ravi, G. S., Smith, K. N., Viszlai, J., Wu, X.-C., Hardavellas, N., Martonosi, M., & Chong, F. T. (2022) · IEEE International Symposium on High-Performance Computer Architecture (HPCA) · doi:10.1109/hpca53966.2022.00050 · Cited by 184
“We benchmark the ability of a quantum processor to generate entanglement by measuring the state preparation fidelity of GHZ states [56].”
BackgroundExperimental three-photon quantum nonlocality under strict locality conditions
Erven, C., Meyer-Scott, E., Bonsma-Fisher, K., Lavoie, J., Higgins, B. L., Yan, Z., Pugh, C. J., Bourgoin, J.-P., Prevedel, R., Shalm, L. K., et al. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.50 · Cited by 127
Experimental violation of Svetlichny's inequality
Lavoie, J., Kaltenbaek, R., & Resch, K. J. (2009) · New Journal of Physics · doi:10.1088/1367-2630/11/7/073051 · Cited by 130
Sequential generation of matrix-product states in cavity QED
Schön, C., Hammerer, K., Wolf, M. M., Cirac, J. I., & Solano, E. (2007) · Physical Review A · doi:10.1103/physreva.75.032311 · Cited by 141
Unifying Framework for Relaxations of the Causal Assumptions in Bell’s Theorem
Chaves, R., Kueng, R., Brask, J. B., & Gross, D. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.140403 · Cited by 125
Joint remote preparation of an arbitrary three-qubit state
Luo, M., Chen, X., Ma, S.-Y., Niu, X., & Yang, Y. (2010) · Optics Communications · doi:10.1016/j.optcom.2010.07.043 · Cited by 125
Qubit metrology and decoherence
Shaji, A., & Caves, C. M. (2007) · Physical Review A · doi:10.1103/physreva.76.032111 · Cited by 125
An efficient quantum secret sharing scheme with Einstein–Podolsky–Rosen pairs
Deng, F., Long, G. L., & Zhou, H.-Y. (2005) · Physics Letters A · doi:10.1016/j.physleta.2005.04.007 · Cited by 125
Useful Multiparticle Entanglement and Sub-Shot-Noise Sensitivity in Experimental Phase Estimation
Krischek, R., Schwemmer, C., Wieczorek, W., Weinfurter, H., Hyllus, P., Pezzè, L., & Smerzi, A. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.080504 · Cited by 121
Resch, K. J., Walther, P. J., & Zeilinger, A. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.070402 · Cited by 128
Entanglement and Quantum Computation
Jozsa, R. (1998) · doi:10.1093/oso/9780198500599.003.0027 · Cited by 124
Żukowski, M., Zeilinger, A., Horne, M., & Weinfurter, H. (1998) · Acta Physica Polonica A · doi:10.12693/aphyspola.93.187 · Cited by 123
Experiments towards Falsification of Noncontextual Hidden Variable Theories
Michler, M., Weinfurter, H., & Żukowski, M. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.5457 · Cited by 125
Multipartite Bound Entangled States that Violate Bell’s Inequality
Dür, W. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.230402 · Cited by 124
Experimental Violation of a Cluster State Bell Inequality
Walther, P. J., Aspelmeyer, M., Resch, K. J., & Zeilinger, A. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.020403 · Cited by 123
Bell’s theorem and the EPR paradox
Home, D., & Selleri, F. (1991) · Rivista Del Nuovo Cimento · doi:10.1007/bf02811227 · Cited by 125
Quantum entanglement and information processing via excitons in optically driven quantum dots
Reina, J. H., Quiroga, L., & Johnson, N. F. (2000) · Physical Review A · doi:10.1103/physreva.62.012305 · Cited by 116
“Hence, new experimental work means that much longer intrinsic coherence times are currently available, a fact of fundamental importance when looking towards the practical implementation of single qubit rotations and quantum CNOT gates which are crucial elements for carrying out quantum information…”
BackgroundTripartite entanglement in a noninertial frame
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MultiqubitWstates lead to stronger nonclassicality than Greenberger-Horne-Zeilinger states
Sen, A., Sen, U., Wieśniak, M., Kaszlikowski, D., & Żukowski, M. (2003) · Physical Review A · doi:10.1103/physreva.68.062306 · Cited by 116
Jeong, H., & An, N. B. (2006) · Physical Review A · doi:10.1103/physreva.74.022104 · Cited by 118
Entanglement between an electron and a nuclear spin 1/2.
Mehring, M., Mende, J., & Scherer, W. (2002) · Physical Review Letters · doi:10.1103/physrevlett.90.153001 · Cited by 94
String triality, black hole entropy, and Cayley’s hyperdeterminant
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Клышко, Д. Н. (1993) · Physics Letters A · doi:10.1016/0375-9601(93)90228-r · Cited by 111
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Yang, X., Yang, Y., Alimuddin, M., Salvia, R., Fei, S.-M., Zhao, L.-M., Nimmrichter, S., & Luo, M. (2023) · Physical Review Letters · doi:10.1103/physrevlett.131.030402 · Cited by 126
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Blasone, M., Dell’Anno, F., Siena, S. D., & Illuminati, F. (2008) · Physical Review A · doi:10.1103/physreva.77.062304 · Cited by 116
Abramsky, S., & Hardy, L. (2012) · Physical Review A · doi:10.1103/physreva.85.062114 · Cited by 120
“CORRELATION INEQUALITIES We shall now show that correlation inequalities can also be analyzed logically; in fact, they form a special case of the logical inequalities we have already described.”
BackgroundProtocol for Universal Gates in Optimally Biased Superconducting Qubits
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Observation of Four-Photon Interference with a Beam Splitter by Pulsed Parametric Down-Conversion
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Generic Bell Inequalities for Multipartite Arbitrary Dimensional Systems
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High-efficiency single-photon detectors
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“These are commonly known as generalized GHZ states [21].”
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Teleportation of atomic states within cavities in thermal states
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Testing foundations of quantum mechanics with photons
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Security problem on arbitrated quantum signature schemes
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Metadata
- Authors
- Kafatos, M. C.
- Affiliations
- George Mason University (US)
- Corresponding author
- Menas C. Kafatos
- ORCID
- Menas C. Kafatos
- Venue
- Springer eBooks
- Publisher
- Springer Netherlands
- Published
- 1989
- OpenAlex
- W580957117
- Cited by
- 1,632
- References
- 0
- Citations by year
- 2026: 7 · 2025: 44 · 2024: 55 · 2023: 52 · 2022: 63 · 2021: 39 · 2020: 49 · 2019: 39 · 2018: 54 · 2017: 54 · 2016: 49 · 2015: 47 · 2014: 60 · 2013: 59 · 2012: 69
- FWCI
- 5.84
- Type
- book
- Language
- en
- Open access
- closed
- Licence
- Locations
- Springer eBooks (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Funders
- George Mason University
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- Bell's theorem, quantum nonseparability, Bell inequalities, measurement problem, wave function collapse, weak values, hidden variables, locality, EPR paradox, quantum entanglement, quantum cosmology, inflation, cosmological singularity, quantum information, complementarity, quantum ontology, quantum foundations, cellular automata, phase-space model, separability
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