Cited by 1,482Quantum Mechanics and ApplicationsQuantum Information and CryptographyQuantum many-body systems

The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.

Extreme quantum entanglement in a superposition of macroscopically distinct states

Mermin, N. David·1990·Physical Review Letters

Open this paper in CoChat — free account

Abstract

A Bell inequality is derived for a state of n spin-1/2 particles which superposes two macroscopically distinct states. Quantum mechanics violates this inequality by an amount that grows exponentially with n.

Integrity signals

Registry

Crossref · 10.1103/physrevlett.65.1838

Cites

3 of 3 references verified0 citation errors · 0 not checkable

Statistics

Recomputing p-values needs the paper’s full text.

Claims the paper makes

This paper’s full text isn’t openly available, so its claims and self-check weren’t run. The registry and citation checks still apply.

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

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
Experimental Test of Bell's Inequalities Using Time- Varying Analyzers
Aspect, A., Dalibard, J., & Roger, G. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.1804 · Cited by 3,942
Bringing home the atomic world: Quantum mysteries for anybody
Mermin, N. D. (1981) · American Journal of Physics · doi:10.1119/1.12594 · Cited by 224
Self-citation

Show all 3 references

Research works printed but not linked: 2

Bell, 1965, Physics (N.Y.), 1, 195
Bohm, 1951, Quantum Theory

Sorted by citations

Items 801–900 of 1,000

Investigations of fundamental phenomena in quantum mechanics with neutrons
Hasegawa, Y. (2014) · Journal of Physics Conference Series · doi:10.1088/1742-6596/504/1/012025 · Cited by 6
All Tangled up: Life in a Quantum World
Dossey, L. (2011) · EXPLORE · doi:10.1016/j.explore.2011.08.005 · Cited by 6
“David Mermin has shown, quantum entanglement grows exponentially with the number of particles involved in the original quantum state, and that there is no theoretical limit on the number of these entangled particles.(8) “If this is the case,” say physicist Menas Kafatos and science historian Robert Nadeau in their boo…”
Background
Genuine multipartite nonlocality of permutationally invariant Gaussian states
Xu, B., Tufarelli, T., & Adesso, G. (2017) · Physical Review A · doi:10.1103/physreva.95.012124 · Cited by 6
Detection of a quantum phase transition in a spin-1 chain through multipartite high-order correlations
Lee, D., Sohbi, A., & Son, W. (2022) · Physical Review A · doi:10.1103/physreva.106.042432 · Cited by 6
Non-equilibrium thermodynamics in a single-molecule quantum system
Pyurbeeva, E., Thomas, J. O., & Mol, J. A. (2023) · Materials for Quantum Technology · doi:10.1088/2633-4356/accd3a · Cited by 6
Continuous and discrete local hidden variable theories are equivalent
Chen, Y., Xiao, S., Han, K., Guo, Z., & Cao, H. (2023) · Information Sciences · doi:10.1016/j.ins.2023.119440 · Cited by 6
Verification of Bell nonlocality by violating quantum monogamy relations
Yang, Y., Liu, X.-Z., Zheng, X.-Z., Fei, S.-M., & Luo, M. (2024) · Cell Reports Physical Science · doi:10.1016/j.xcrp.2024.101840 · Cited by 6
Random Constructions in Bell Inequalities: A Survey
Palazuelos, C. (2018) · Foundations of Physics · doi:10.1007/s10701-017-0135-y · Cited by 6
“In this case, it is well known that the quotient betweenω∗(T ) andω(T ) can be equal to 2 2 for some particular functionals T [5,36].”
Background
Implications of communication complexity in multipartite systems
Marcovitch, S., & Reznik, B. (2008) · Physical Review A · doi:10.1103/physreva.77.032120 · Cited by 5
Bernstein's paradox of entangled quantum states
Belinsky, A. V., & Chirkin, A. S. (2013) · Physics-Uspekhi · doi:10.3367/ufne.0183.201311e.1231 · Cited by 6
Relevant multi-setting tight Bell inequalities for qubits and qutrits
Deng, D.-L., Zhou, Z.-S., & Chen, J. (2009) · Annals of Physics · doi:10.1016/j.aop.2009.05.002 · Cited by 6
Superposition experiments in neutron interferometry
Rauch, H. (1995) · Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B · doi:10.1007/bf02741465 · Cited by 6
Efficient quantum logic with cold trapped ions for maximally entangled states
Fujiwara, S., Osaki, H., Buluta, I. M., & Hasegawa, S. (2007) · Physical Review A · doi:10.1103/physreva.75.012301 · Cited by 6
Particle and/or wave features in neutron interferometry
Rauch, H. (2012) · Journal of Physics Conference Series · doi:10.1088/1742-6596/361/1/012019 · Cited by 7
Device-independent randomness extraction for arbitrarily weak min-entropy source
Bouda, J., Pawłowski, M., Pivoluska, M., & Plesch, M. (2014) · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · doi:10.1117/12.2071568 · Cited by 6
Robustness of Entanglement During Decoherence
Kim, K.-I., Zhao, B., Li, H.-M., & Lu, J. (2014) · Communications in Theoretical Physics · doi:10.1088/0253-6102/62/5/06 · Cited by 6
Optimizing dichotomic local phase measurement settings for multipartite quantum systems
Ding, D., He, Y.-Q., Yan, F., & Gao, T. (2020) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8121/ab8ef4 · Cited by 6
Mermin's inequalities in Quantum Field Theory
Fabritiis, P. D., Roditi, I., & Sorella, S. P. (2023) · Physics Letters B · doi:10.1016/j.physletb.2023.138198 · Cited by 9
Mermin's n-particle Bell inequality and operators' noncommutativity
Cereceda, J. L. (2001) · Physics Letters A · doi:10.1016/s0375-9601(01)00454-6 · Cited by 6
Testing locality and noncontextuality with the lowest moments
Bednorz, A., Bednorz, W. M., & Belzig, W. (2014) · Physical Review A · doi:10.1103/physreva.89.022125 · Cited by 6
Scalable Bell inequalities for multiqubit systems
He, Y., Ding, D., Yan, F., & Gao, T. (2015) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/111/40001 · Cited by 6
Λ-Nonlocality of Multipartite States and the Related Nonlocality Inequalities
Yang, Y., Cao, H., Chen, L., & Huang, Y. (2018) · International Journal of Theoretical Physics · doi:10.1007/s10773-018-3677-7 · Cited by 6
Some applications of uncertainty relations in quantum information
Majumdar, A. S., & Pramanik, T. (2016) · International Journal of Quantum Information · doi:10.1142/s0219749916400220 · Cited by 9
More Quantum Information due to Postselection in Neutron Interferometry
Rauch, H. (1995) · Annals of the New York Academy of Sciences · doi:10.1111/j.1749-6632.1995.tb38971.x · Cited by 6
Production of Entanglement of Multiple Three-Level Atoms with a Two-Mode Cavity
Shi-Biao, Z. (2006) · Communications in Theoretical Physics · doi:10.1088/0253-6102/45/3/031 · Cited by 6
Atomic N 00 N state generation in distant cavities by virtual excitations
Yang, R., Li, G., Li, J., & Zhang, T. (2011) · Chinese Physics B · doi:10.1088/1674-1056/20/6/060302 · Cited by 6
The magic tesseracts and Bell’s theorem
Aravind, P. K. (2001) · American Journal of Physics · doi:10.1119/1.1313518 · Cited by 6
Is the SIC Outcome There When Nobody Looks?Preprint
Stacey, B. C. (2018) · arXiv (Cornell University) · doi:10.48550/arxiv.1807.07194 · Cited by 6
“Then we can write Mermin’s three-qubit Bell inequality [9, 10] in terms of a linear combination of expectation values:”
BackgroundMethod
New Genuine Multipartite EntanglementPreprint
Luo, M.-X. (2020) · arXiv (Cornell University) · doi:10.48550/arxiv.2003.07153 · Cited by 6
“Different from the bipartite nonlocality, there are various kinds of multipartite nonlocalities for specific multi-particle systems [5-12].”
Background
T Cells as primary players in rheumatoid arthritis
Falta, M. T., & Kotzin, B. L. (1998) · Springer eBooks · doi:10.1007/978-1-4615-4285-8_11 · Cited by 6
A trace distance-based geometric analysis of the stabilizer polytope for few-qubit systems
de Palhares, A. B., Zamora, S., Macêdo, R. A., Sarubi, T. S., Varela, J. M., Rocha, G. W. C., Moreira, D. A., & Chaves, R. (2026) · Physics Letters A · doi:10.1016/j.physleta.2026.131417 · Cited by 5
“Take, for instance, the multipar-tite Mermin inequality [69], which for 3 qubits and Pauli measurements can be defined as: This inequality achieves the maximum algebraic violation for a GHZ state | GHZ ⟩ = (1 / √ 2)( | 000 ⟩ + | 111 ⟩ ) that is a stabilizer state, hence the Mermin inequality cannot…”
Multiphoton quantum interference with high visibility using multiport beam splitters
Stobińska, M., Laskowski, W., Wieśniak, M., & Żukowski, M. (2013) · Physical Review A · doi:10.1103/physreva.87.053828 · Cited by 4
A multiplayer multiteam nonlocal game for the toric code
Bulchandani, V. B., Burnell, F. J., & Sondhi, S. L. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.107.035409 · Cited by 5
Playing nonlocal games with phases of quantum matter
Bulchandani, V. B., Burnell, F. J., & Sondhi, S. L. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.107.045412 · Cited by 5
Deriving Three-Outcome Permutationally Invariant Bell Inequalities
Aloy, A., Müller-Rigat, G., Tura, J., & Fadel, M. (2024) · Entropy · doi:10.3390/e26100816 · Cited by 5
Generation of large-scale hybrid entangled states between superconducting qubits and microwave-field qubits
Liu, T., Zhou, Y., Su, Q.-P., & Yang, C. (2024) · Physical Review A · doi:10.1103/physreva.110.062402 · Cited by 5
Unitary-invariant method for witnessing nonstabilizerness in quantum processors
Wagner, R., Peres, F. C. R., Cruzeiro, E. Z., & Galvão, E. F. (2025) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8121/ade9ff · Cited by 13
Neutron Matter Wave Quantum Optics
Rauch, H. (2011) · Foundations of Physics · doi:10.1007/s10701-011-9569-9 · Cited by 4
Analysing Nonlocal Correlations in Three-qubit Partially Entangled States Under Real Conditions
Singh, P., & Kumar, A. (2018) · International Journal of Theoretical Physics · doi:10.1007/s10773-018-3835-y · Cited by 5
Measure of quantum correlations that lies approximately between entanglement and discord
Szasz, A. (2019) · Physical Review A · doi:10.1103/physreva.99.062313 · Cited by 5
Constructing multipartite Bell inequalities from stabilizers
Zhao, Q., & Zhou, Y. (2022) · Physical Review Research · doi:10.1103/physrevresearch.4.043215 · Cited by 5
Hardy-like quantum pigeonhole paradox and the projected-coloring graph state
Tang, W. (2022) · Physical Review A · doi:10.1103/physreva.105.032457 · Cited by 5
“For example, “all-versus-nothing” proofs[25] of Bell nonlocality which works for 100% of the runs of an experiment(e.”
Wigner-approach-enabled detection of multipartite nonlocality using all different bipartitions
Nandi, S., Saha, D., Home, D., & Majumdar, A. S. (2022) · Physical Review A · doi:10.1103/physreva.106.062203 · Cited by 5
Simulations of quantum nonlocality with local negative bits
Onggadinata, K., Kurzyński, P., & Kaszlikowski, D. (2023) · Physical Review A · doi:10.1103/physreva.108.032204 · Cited by 5
Bell correlations of a thermal fully connected spin chain in the vicinity of a quantum critical point
Hamza, D. A., & Chwedeńczuk, J. (2024) · Physical Review A · doi:10.1103/physreva.110.012210 · Cited by 5
Inherent quantum resources in stationary spin chains
Płodzień, M., Chwedeńczuk, J., & Lewenstein, M. (2025) · Physical Review A · doi:10.1103/physreva.111.012417 · Cited by 7
“Its other variants include the Mermin form of Bell inequalities [101, 102], the N - body inequalities [36, 100, 103, 104] or the Ardehali inequalities [105].”
Self-Testing Composite Measurements and Bound Entangled State in a Single Quantum Network.
Sarkar, S., Datta, C., Halder, S., & Augusiak, R. (2023) · Physical Review Letters · doi:10.1103/physrevlett.134.190203 · Cited by 7
“…correlations { p ( abc 0 | xyz 0 ) } with x , y , z = 1, 2 corresponding to the situation in which Eve observes the first outcome l = 0 of E 0 , the following condition is satisfied (14) where (cid:101) A 1 = ( A 0 − A 1 ) / √ 2 and the above functional is inspired by the Mermin inequality [39].”
Advantage of Quantum Strategies in Random Symmetric XOR Games
Ambainis, A., Iraids, J., Kravchenko, D., & Virza, M. (2013) · Lecture notes in computer science · doi:10.1007/978-3-642-36046-6_7 · Cited by 5
Experimental investigation of tripartite entanglement and nonlocality in three-qubit generalized Greenberger–Horne–Zeilinger states
Zhao, J., Cao, L., Wang, X.-Q., & Lu, H.-X. (2012) · Physics Letters A · doi:10.1016/j.physleta.2012.06.016 · Cited by 5
Time Invariance as an Additional Constraint on Nonlocal Realism
Nagata, K., & Nakamura, T. (2009) · International Journal of Theoretical Physics · doi:10.1007/s10773-009-0129-4 · Cited by 5
Detection-efficiency loophole and the Pusey-Barrett-Rudolph theorem
Dutta, A., Pawłowski, M., & Żukowski, M. (2015) · Physical Review A · doi:10.1103/physreva.91.042125 · Cited by 5
Violation of multipartite Bell inequalities with classical subsystems via operationally local transformations
Williamson, M. S., Heaney, L., & Son, W. (2010) · Physical Review A · doi:10.1103/physreva.82.032105 · Cited by 4
Exclusivity structures and graph representatives of local complementation orbits
Cabello, A., Parker, M. G., Scarpa, G., & Simone Severini, B. (2013) · Journal of Mathematical Physics · doi:10.1063/1.4813438 · Cited by 6
Experimental violation of three families of Bell's inequalities
Vermeyden, L., Bonsma-Fisher, M., Noel, C., Donohue, J. M., Wolfe, E., & Resch, K. J. (2013) · Physical Review A · doi:10.1103/physreva.87.032105 · Cited by 6
Restriction on the local realism violation in three-qubit states and its relation with tripartite entanglement
Barasiński, A. (2018) · Scientific Reports · doi:10.1038/s41598-018-30022-7 · Cited by 5
Manifestation of the Macroscopic Nonlocality in Some Natural Dissipation Processes
Korotaev, S. M., Morozov, A. N., Serdyuk, V. O., & Sorokin, M. O. (2002) · Russian Physics Journal · doi:10.1023/a:1021091202468 · Cited by 5
Resource state structure for controlled quantum key distribution
Das, A., Nandi, S., Sazim, S., & Agrawal, P. (2020) · The European Physical Journal D · doi:10.1140/epjd/e2020-100488-8 · Cited by 5
Simplified quantum optical Stokes observables and Bell’s theorem
Schlichtholz, K., Wołoncewicz, B., & Żukowski, M. (2022) · Scientific Reports · doi:10.1038/s41598-022-14232-8 · Cited by 5
“This inequality generalize Mermin inequality for three qubits [27].”
Background
Scalable noncontextuality inequalities and certification of multiqubit quantum systems
Santos, R., Jebarathinam, C., & Augusiak, R. (2022) · Physical Review A · doi:10.1103/physreva.106.012431 · Cited by 5
Bosonic fields in states with undefined particle numbers possess detectable non-contextuality features, plus more
Schlichtholz, K., Mandarino, A., & Żukowski, M. (2022) · New Journal of Physics · doi:10.1088/1367-2630/ac919e · Cited by 5
“Therefore, we can write the Mermin inequality [23] using the operators Ĝ j i−: |〈G(1)1−(λ)G(2)1−(λ)G(3)1−(λ) − G(1)1−(λ)G(2)2−(λ)G(3)2−(λ) − G(1)2−(λ)G(2)1−(λ)G(3)2−(λ) − G(1)2−(λ)G(2)2−(λ)G(3)1−(λ)〉LHV| 2, (40)”
Machine-learning-based device-independent certification of quantum networks
d'Alessandro, N., Polacchi, B., Moreno, G., Polino, E., Chaves, R., Agresti, I., & Sciarrino, F. (2023) · Physical Review Research · doi:10.1103/physrevresearch.5.023016 · Cited by 5
Multipartite nonlocality and symmetry breaking in one-dimensional quantum chains
Sun, Z., Liu, L.-F., Wen, H.-X., Qu, S., Xu, F.-Q., & Guo, B. (2023) · Physical Review A · doi:10.1103/physreva.107.052216 · Cited by 5
Weak versus Deterministic Macroscopic Realism, and Einstein–Podolsky–Rosen’s Elements of Reality
Fulton, J., Thenabadu, M., Teh, R. Y., & Reid, M. D. (2023) · Entropy · doi:10.3390/e26010011 · Cited by 5
Tripartite Bell-type inequalities for quantum coherence and skew information
Qiu, L., Pan, F., & Liu, Z. (2017) · International Journal of Quantum Information · doi:10.1142/s0219749917500253 · Cited by 10
Nonlinear Bell inequality for macroscopic measurements
Watts, A. B., Halpern, N. Y., & Harrow, A. W. (2021) · Physical Review A · doi:10.1103/physreva.103.l010202 · Cited by 7
Three Qubit GHZ Correlations and Generalized Bell Experiments
Kaszlikowski, D., & Żukowski, M. (2003) · International Journal of Theoretical Physics · doi:10.1023/a:1025426707753 · Cited by 5
“Therefore one must use Bell inequalities of a new type (for the first ones see Mermin, 1990).”
MethodResult
Generation of Three-Qubit Entanglement Using Josephson Phase Qubits
Neeley, M. (2010) · Cited by 5
Proposed all-versus-nothing violation of local realism in the Kitaev spin-lattice model
Hu, M.-G., Deng, D.-L., & Chen, J. (2009) · Physical Review A · doi:10.1103/physreva.79.010301 · Cited by 6
Complete sets of commuting observables of Greenberger-Horne-Zeilinger states
Ruan, M. Q., & Zeng, J. Y. (2004) · Physical Review A · doi:10.1103/physreva.70.052113 · Cited by 5
Testing Hardy’s ladder proof of nonlocality by joint measurements of qubits
Yuan, H., & Wei, L.-F. (2013) · Quantum Information Processing · doi:10.1007/s11128-013-0602-0 · Cited by 5
Multiparty multilevel energy-time entanglement
Vallone, G., Mataloni, P., & Cabello, A. (2010) · Physical Review A · doi:10.1103/physreva.81.032105 · Cited by 5
Testing Robertson spin intelligence with lossless beam splitters
Campos, R. A., & Gerry, C. C. (1999) · Physical Review A · doi:10.1103/physreva.60.1572 · Cited by 5
Pseudo-telepathy games using graph states
Anshu, A., & Mhalla, M. (2013) · Quantum Information and Computation · doi:10.26421/qic13.9-10-6 · Cited by 5
“This is a variation of the Mermin’s parity games introduced in [24].”
Background
Structure of quantum and broadcasting nonlocal correlations
Saha, D., & Pawłowski, M. (2015) · Physical Review A · doi:10.1103/physreva.92.062129 · Cited by 5
Detecting Contextuality: Sheaf Cohomology and All vs Nothing Arguments
Carù, G. (2015) · Cited by 5
Characterization of the quantumness of unsteerable tripartite correlations
Das, D., Jebarathinam, C., Bhattacharya, B., Mukherjee, A., Bhattacharya, S. S., & Roy, A. (2018) · Annals of Physics · doi:10.1016/j.aop.2018.08.013 · Cited by 6
“Mermin inequalities [34] are one of the classes of facet inequalities of the fully local polytope [62, 63].”
Background
Genuine Tripartite Entanglement and Nonlocality in Bose-Einstein Condensates by Collective Atomic Recoil
Piano, S., & Adesso, G. (2013) · Cited by 5
Collective observables and enhanced violation of Bell's inequality
Chefles, A., & Barnett, S. M. (1997) · Physical Review A · doi:10.1103/physreva.55.1721 · Cited by 5
Single Min-Entropy Random Source can be AmplifiedPreprint
Plesch, M., & Pivoluska, M. (2013) · arXiv (Cornell University) · Cited by 5
Characterizing quantum correlations in the nonsignaling frameworkPreprint
Jebarathinam, C. (2016) · arXiv (Cornell University) · doi:10.48550/arxiv.1605.06445 · Cited by 5
Quantum Indistinguishability by Path Identity: The awakening of a sleeping beautyPreprint
Hochrainer, A., Lahiri, M., Erhard, M., Krenn, M., & Zeilinger, A. (2021) · arXiv (Cornell University) · doi:10.48550/arxiv.2101.02431 · Cited by 7
“[150] N David Mermin, “Extreme quantum entanglement in a”
BackgroundMethod
Route one to quantum gravityPreprint
Lobo, M. P. (2019) · doi:10.31219/osf.io/4mbxq · Cited by 5
Mathematical proof of the Fisher-Escolà Q statistical distribution in quantum consciousness modeling
Escolà-Gascón, Á., & Benito-León, J. (2025) · Computational and Structural Biotechnology Journal · doi:10.1016/j.csbj.2025.04.025 · Cited by 4
“Quantum physics offers several alternatives to replace Bell ’ s S value under the CHSH criterion, one of the most widely used being the verification of Mermin inequality violations [46].”
Entanglement Detection and Quantification Through Machine Learning: A Comprehensive Review
Varela, J. M., de Palhares, A. B., & Duarte, D. H. G. (2025) · Brazilian Journal of Physics · doi:10.1007/s13538-025-01947-y · Cited by 4
“Bell inequalities can be generalized to the multipartite case; the Mermin [28] and the Svetlichny [29] inequalities are two such examples.”
Fermionic Bell violation in the presence of background electromagnetic fields in the cosmological de Sitter spacetime
Ali, M. S., Bhattacharya, S., Chakrabortty, S., & Kaushal, S. (2021) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.104.125012 · Cited by 7
“[12, 13, 14, 15, 16, 17] and references therein for extensive reviews and pedagogical discussions on quantum entanglement and its various measures.”
Background
Hybrid nonlocality via atom-photon interactions with and without impurities
Halder, P., Banerjee, R., Roy, S., & Sen, A. (2025) · Physical Review A · doi:10.1103/physreva.111.012431 · Cited by 4
One‐Way Network Nonlocality of Continuous Variable Entangled Networks
Jiang, J., Liu, X., Yang, X., Ding, X., Zhang, D., & Luo, M. (2025) · Advanced Quantum Technologies · doi:10.1002/qute.202500147 · Cited by 4
Measuring multipartite quantum correlations by thermodynamic work extraction
Yada, T., Yoshioka, N., & Sagawa, T. (2025) · Physical Review Research · doi:10.1103/s8h3-5ptz · Cited by 4
Scheme for generating a cluster-type entangled squeezed vacuum state via cavity QED
Wen, J.-J., Yeon, K.-H., Wang, H., & Zhang, S. (2014) · Chinese Physics B · doi:10.1088/1674-1056/23/4/040301 · Cited by 4
Quantum Computing for Dealing with Inaccurate Knowledge Related to the Certainty Factors Model
Moret‐Bonillo, V., Magaz-Romero, S., & Mosqueira-Rey, E. (2022) · Mathematics · doi:10.3390/math10020189 · Cited by 4
Experimental construction of a symmetric three-qubit entangled state and its utility in testing the violation of a Bell inequality on an NMR quantum simulator
Singh, D., Gulati, V., Arvind, & Dorai, K. (2022) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/acab7e · Cited by 4
Using Weyl operators to study Mermin’s inequalities in quantum field theory
Fabritiis, P. D., Guedes, F. M., Guimarães, M. S., Roditi, I., & sorella, S. P. (2024) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.109.045020 · Cited by 4
“Mermin proposed a generalization of Bell inequalities for multipartite systems [41], which received further developments in the sequence [42– 45].”
BackgroundResult
Verifying Hierarchic Multipartite and Network Nonlocalities with a Unified Method
Luo, M., & Fei, S. (2024) · Advanced Quantum Technologies · doi:10.1002/qute.202400021 · Cited by 4
“We get a chain Bell inequality (Section SC, Supporting Information [47] ): where FS denotes full separable correlations, BQS denotes bisep-arable quantum states, BS denotes biseparable correlations, Q denotes quantum correlations, NS denotes NS correlations and GC denotes general correlations.”
Quantum advantage in distributed sensing with noisy quantum networks
Zang, A., Kolar, A., Gonzales, A., Chung, J., Gray, S. K., Kettimuthu, R., Zhong, T., & Saleem, Z. H. (2026) · Physical Review Research · doi:10.1103/7n9w-9xd4 · Cited by 21
“For instance, according to Laskowski-Żukowski (LZ) criterion [69] for k - separability which is equivalent to Mermin-type inequalities [70–72], a d -qubit state that is d -separable (fully separable) must satisfy max j (cid:12) ρ j,j ≤ 2 − d , where ρ j, j is the off-diagonal element for the…”
On testing objective local theories by using Greenberger-Horne-Zeilinger states
Hnilo, A. A. (1994) · Foundations of Physics · doi:10.1007/bf02053912 · Cited by 4
Geometric extension of Clauser–Horne inequality to more qubits
Dutta, A., Nahm, T.-U., Lee, J., & Żukowski, M. (2018) · New Journal of Physics · doi:10.1088/1367-2630/aadc78 · Cited by 4
Bell non-locality in macroscopic systems
Dalton, B. J. (2019) · The European Physical Journal Special Topics · doi:10.1140/epjst/e2018-800049-4 · Cited by 4
Testing Bell inequalities for multi-partite systems with frequency-encoded photonic qubits
Sheremetev, V. O., Rudenko, A. S., & Trifanov, A. (2018) · Nanosystems Physics Chemistry Mathematics · doi:10.17586/2220-8054-2018-9-4-484-490 · Cited by 4
“For the bipartite system, this may take the form of Clauser–Horne–Shimony– Holt [8] (CHSH) inequality |S((2))| ≤ 2, whereas in the tripartite case, we have Mermin |S((3))| ≤ 2 and Svetlicnhiy |S((3))| ≤ 4 counterparts [9, 10].”
Nonclassicality of bright Greenberger-Horne-Zeilinger–like radiation of an optical parametric source
Schlichtholz, K., Wołoncewicz, B., & Żukowski, M. (2021) · Physical Review A · doi:10.1103/physreva.103.042226 · Cited by 4
Experimental entanglement quantification for unknown quantum states in a semi-device-independent manner
Guo, Y. C., Lin, L., Cao, H., Zhang, C., Lin, X., Hu, X., Liu, B., Huang, Y., Wei, Z., Han, Y., et al. (2023) · Science China Information Sciences · doi:10.1007/s11432-022-3681-2 · Cited by 4

Authors: Mermin, N. D.
Affiliations: Cornell University (US)
Corresponding author: Mermin, N. David
Venue: Physical Review Letters
Publisher: American Physical Society (APS)
Published: 1990-10
Volume: 65
Issue: 15
Pages: 1838-1840
ISSN: 0031-9007 (ISSN-L)
DOI: 10.1103/physrevlett.65.1838
OpenAlex: W2094119863
Cited by: 1,482
References: 3
Citations by year: 2026: 44 · 2025: 66 · 2024: 66 · 2023: 80 · 2022: 65 · 2021: 59 · 2020: 45 · 2019: 107 · 2018: 56 · 2017: 47 · 2016: 66 · 2015: 55 · 2014: 46 · 2013: 66 · 2012: 62
FWCI: 5.96
Type: journal article
Language: en
Open access: closed
Locations: Physical Review Letters (publishedVersion)
PubMed (publishedVersion)
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 many-body systems
Keywords: Bell inequalities, quantum entanglement, macroscopic superposition, spin-1/2 particles, quantum violation

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

Extreme quantum entanglement in a superposition of macroscopically distinct states

Abstract

Overview

Integrity signals

Verification

Claims the paper makes

Claims other papers make about this one

Citations

Cites

Cited by

Related

Metadata

Record

About these checks