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
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.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
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?
In the citing paper
“While Bell’s inequality violation is established between pairs of quantum states through their density matrices (of size 2² × 2²)—which, in our case, are qubits—Mermin’s inequality applies to multi-particle interactions beyond isolated state pairs.”
From Mathematical proof of the Fisher-Escolà Q statistical distribution in quantum consciousness modeling (2025) · cites this paper as [46]
Citations
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
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
Research works printed but not linked: 2
- Bell, 1965, Physics (N.Y.), 1, 195
- Bohm, 1951, Quantum Theory
Cited by
Sorted by citations
Items 301–400 of 1,000
Chen, J., Deng, D.-L., Su, H.-Y., Wu, C., & Oh, C. H. (2011) · Physical Review A · doi:10.1103/physreva.83.022316 · Cited by 39
Finite-Time Destruction of Entanglement and Non-Locality by Environmental Influences
Ann, K., & Jaeger, G. S. (2009) · Foundations of Physics · doi:10.1007/s10701-009-9295-8 · Cited by 40
“All of these must be satisfied for a state to be describable by a local classical model, |� BPI � ρ |≤ 2( I =1 , 2, 3, 4, 5). This set includes the often considered sub-class of tripartite Bell inequalities [13, 15, 74 ], namely those involving BP5.”
BackgroundDemonstration of Temporal Distinguishability in a Four-Photon State and a Six-Photon State
Xiang, G., Huang, Y., Sun, F., Zhang, P., Ou, Z. Y., & Guo, G. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.023604 · Cited by 39
On the power of non-local boxes
Broadbent, A., & Méthot, A. A. (2005) · Theoretical Computer Science · doi:10.1016/j.tcs.2005.08.035 · Cited by 40
“The multi-party Mermin–GHZ game [18, 19] is defined as follows.”
BackgroundAgarwal, G. S. (1993) · Physical Review A · doi:10.1103/physreva.47.4608 · Cited by 39
Locality, Lorentz invariance, and linear algebra: Hardy's theorem for two entangled spin-s particles
Clifton, R. K., & Niemann, P. (1992) · Physics Letters A · doi:10.1016/0375-9601(92)90358-s · Cited by 41
Coherent states, entanglement, and geometric invariant theoryPreprint
Klyachko, A. A. (2002) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/0206012 · Cited by 88
Experimenter’s freedom in Bell’s theorem and quantum cryptography
Kofler, J., Paterek, T., & Brukner, Č. (2006) · Physical Review A · doi:10.1103/physreva.73.022104 · Cited by 38
Maximum nonlocality in the (3,2,2) scenario
López‐Rosa, S., Xu, Z., & Cabello, A. (2016) · Physical Review A · doi:10.1103/physreva.94.062121 · Cited by 38
“To illustrate how this second option would work, it is useful to consider the Mermin inequality [27] in the case where the third observer measures the identity.”
BackgroundInfluentialRecent advances in high-dimensional quantum frequency combs
Chang, K.-C., Cheng, X., Sarihan, M. C., & Wong, C. W. (2025) · Newton · doi:10.1016/j.newton.2025.100024 · Cited by 46
Generating nonclassical correlations without fully aligning measurements
Wallman, J. J., Liang, Y.-C., & Bartlett, S. D. (2011) · Physical Review A · doi:10.1103/physreva.83.022110 · Cited by 36
Shortcuts to adiabatic cat-state generation in bosonic Josephson junctions
Hatomura, T. (2017) · New Journal of Physics · doi:10.1088/1367-2630/aaa117 · Cited by 35
Unveiling contextual realities by microscopically entangling a neutron
Shen, J., Kuhn, S. J., Dalgliesh, R. M., de Haan, V. O., Geerits, N., Irfan, A. A., Li, F., Lu, S., Parnell, S. R., Plomp, J., et al. (2020) · Nature Communications · doi:10.1038/s41467-020-14741-y · Cited by 39
Genuine multipartite Bell inequality for device-independent conference key agreement
Holz, T., Kampermann, H., & Bruß, D. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.023251 · Cited by 38
Violating Bell inequalities maximally for two d -dimensional systems
Chen, J., Wu, C., Kwek, L. C., Oh, C. H., & Ge, M. (2006) · Physical Review A · doi:10.1103/physreva.74.032106 · Cited by 38
Nonlocality of two- and three-mode continuous variable systems
Ferraro, A., & Paris, M. G. A. (2005) · Journal of Optics B Quantum and Semiclassical Optics · doi:10.1088/1464-4266/7/6/003 · Cited by 36
Characterization of quantum angular-momentum fluctuations via principal components
Rivas, ́., & Luis, A. (2008) · Physical Review A · doi:10.1103/physreva.77.022105 · Cited by 37
Combinatorics and Quantum Nonlocality
Buhrman, H., Høyer, P., Massar, S., & Röhrig, H. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.047903 · Cited by 38
Entanglement and Quantum Error Correction with Superconducting QubitsPreprint
Reed, M. (2013) · arXiv (Cornell University) · doi:10.48550/arxiv.1311.6759 · Cited by 70
“1 violates by 14 standard deviations [241].”
Device-Independent Witnesses of Genuine Multipartite Entanglement
Bancal, J.-D. (2013) · Springer theses · doi:10.1007/978-3-319-01183-7_7 · Cited by 39
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
Engineering of triply entangled states in a single-neutron system
Hasegawa, Y., Loidl, R., Badurek, G., Durstberger-Rennhofer, K., Sponar, S., & Rauch, H. (2010) · Physical Review A · doi:10.1103/physreva.81.032121 · Cited by 37
Comprehensive Test of Entanglement for Two-Level Systems via the Indeterminacy Relationship
Yu, S., Pan, J.-W., Chen, Z., & Zhang, Y.-D. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.217903 · Cited by 37
Relation between entanglement measures and Bell inequalities for three qubits
Emary, C., & Beenakker, C. W. J. (2004) · Physical Review A · doi:10.1103/physreva.69.032317 · Cited by 37
Discriminating Multipartite Entangled States
Schmid, C., Kiesel, N., Laskowski, W., Wieczorek, W., Żukowski, M., & Weinfurter, H. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.200407 · Cited by 37
Iqbal, A., Cheon, T., & Abbott, D. (2008) · Physics Letters A · doi:10.1016/j.physleta.2008.09.026 · Cited by 36
“nd mathematical biology [5–7] are the areas where most applications of multiplayer games are usually found. Game-like situations involving many agents were brought to quantum regime in 1990 by Mermin [8,9]. He analyzed a multiplayer game that can be won with certainty when it is played using spin-half particles in a G…”
BackgroundProbabilistic quantum encoder for single-photon qubits
Pittman, T. B., Jacobs, B. C., & Franson, J. D. (2004) · Physical Review A · doi:10.1103/physreva.69.042306 · Cited by 39
Cañas, G., Etcheverry, S., Gómez, E. S., Saavedra, C., XAVIER, G. B., Lima, G., & Cabello, A. (2014) · Physical Review A · doi:10.1103/physreva.90.012119 · Cited by 36
A Quantum Protocol to Win the Graph Colouring Game on All Hadamard Graphs
Avis, D. (2006) · IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences · doi:10.1093/ietfec/e89-a.5.1378 · Cited by 36
“” One of essential tools for revealing existence of entanglement which causes such phenomena is Bell’s inequality that has been studied for several decades [1], [14], [17].”
BackgroundQuantum superposition of parametrically amplified multiphoton pure states
Martini, F. D. (1998) · Physics Letters A · doi:10.1016/s0375-9601(98)00746-4 · Cited by 36
Macroscopic boson states exhibiting the Greenberger-Horne-Zeilinger contradiction with local realism
Reid, M. D., & Munro, W. J. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.997 · Cited by 36
Enhancing a Many-Body Dipolar Rydberg Tweezer Array with Arbitrary Local Controls
Bornet, G., Emperauger, G., Chen, C., Machado, F., Chern, S., Leclerc, L., Gély, B., Chew, Y. T., Barredo, D., Lahaye, T., et al. (2024) · Physical Review Letters · doi:10.1103/physrevlett.132.263601 · Cited by 46
Analysing quantum systems with randomised measurements
Cieśliński, P., Imai, S., Dziewior, J., Gühne, O., Knips, L., Laskowski, W., Meinecke, J. D. A., Paterek, T., & Vértesi, T. (2024) · Physics Reports · doi:10.1016/j.physrep.2024.09.009 · Cited by 47
“[3], the probabilities of violation for complete sets of MABK [263, 264, 265] and WWWŻB [266, 267, 80] inequalities by the n-particle GHZ state have been determined numerically.”
MethodInfluentialBell inequalities for continuous-variable measurements
He, Q., Cavalcanti, E. G., Reid, M. D., & Drummond, P. D. (2010) · Physical Review A · doi:10.1103/physreva.81.062106 · Cited by 36
Monogamy of Quantum Correlations - A Review
Dhar, H. S., Pal, A. K., Rakshit, D., Sen, A., & Sen, U. (2017) · Quantum science and technology · doi:10.1007/978-3-319-53412-1_3 · Cited by 40
Proposal for generating and detecting multi-qubit GHZ states in circuit QED
Bishop, L., Tornberg, L., Price, D., Ginossar, E., Nunnenkamp, A., Houck, A., Gambetta, J., Koch, J., Johansson, G., Girvin, S. M., et al. (2009) · Surrey Research Insight Open Access (The University of Surrey) · Cited by 35
Maximal qubit violation of n -local inequalities in a quantum network
Kundu, A., Molla, M. K., Chattopadhyay, I., & Sarkar, D. (2020) · Physical Review A · doi:10.1103/physreva.102.052222 · Cited by 36
Recasting Mermin's multi-player game into the framework of pseudo-telepathy
Gilles Brassard, A., Broadbent, A., & Tapp, A. (2005) · Quantum Information and Computation · doi:10.26421/qic5.7-2 · Cited by 35
Nonlocal effect of a bipartite system induced by local cyclic operation
Fu, L. (2006) · Europhysics Letters (EPL) · doi:10.1209/epl/i2005-10598-7 · Cited by 35
Generation of a supersinglet of three three-level atoms in cavity QED
Jin, G.-S., Li, S., Feng, S., & Zheng, H. (2005) · Physical Review A · doi:10.1103/physreva.71.034307 · Cited by 35
Phase-shift amplification for precision measurements without nonclassical states
Luis, A. (2002) · Physical Review A · doi:10.1103/physreva.65.025802 · Cited by 34
Characterization of tripartite quantum states with vanishing monogamy score
Bera, M. N., Prabhu, R., Sen, A., & Sen, U. (2012) · Physical Review A · doi:10.1103/physreva.86.012319 · Cited by 35
Increasing the Statistical Significance of Entanglement Detection in Experiments
Jungnitsch, B., Niekamp, S., Kleinmann, M., Gühne, O., Lu, H., Gao, W., Chen, Y.-A., Chen, Z., & Pan, J.-W. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.210401 · Cited by 35
Multipartite quantum nonlocality under local decoherence
Chaves, R., Cavalcanti, D., Aolita, L., & Acín, A. (2012) · Physical Review A · doi:10.1103/physreva.86.012108 · Cited by 33
Classical Physics and the Bounds of Quantum Correlations
Frustaglia, D., Baltanás, J. P., Velázquez‐Ahumada, M. C., Fernández‐Prieto, A., Lujambio, A., Losada, V., Freire, M. J., & Cabello, A. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.250404 · Cited by 34
“This gap vanishes when we consider two more dichotomic observables, C and c, and extend the CHSH Bell inequality into M ≤ 2 [22], with”
BackgroundCausal Networks and Freedom of Choice in Bell’s Theorem
Chaves, R., Moreno, G., Polino, E., Poderini, D., Agresti, I., Suprano, A., Barros, M. R., Carvacho, G., Wolfe, E., Canabarro, A., et al. (2021) · PRX Quantum · doi:10.1103/prxquantum.2.040323 · Cited by 35
“That is what we achieve in the following for the tripartite Bell scenario, by adapting the results in [10] to the MerminArdehali–Belinski–Klyshko [38, 66, 67] inequality”
Result(Nearly) optimal P values for all Bell inequalities
Elkouss, D., & Wehner, S. (2016) · npj Quantum Information · doi:10.1038/npjqi.2016.26 · Cited by 39
“Figure 4 and Figure 5 illustrate this bound for the CHSH and Mermin’s inequality.(39)”
BackgroundLu, H.-X., Zhao, J.-Q., Wang, X., & Cao, L. (2011) · Physical Review A · doi:10.1103/physreva.84.012111 · Cited by 34
Generalized Clauser-Horne-Shimony-Holt inequalities maximally violated by higher-dimensional systems
Vértesi, T., & Pál, K. F. (2008) · Physical Review A · doi:10.1103/physreva.77.042106 · Cited by 33
Extremal Quantum Correlations and Cryptographic Security
Franz, T., Furrer, F., & Werner, R. F. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.250502 · Cited by 34
Wallman, J. J., & Bartlett, S. D. (2012) · Physical Review A · doi:10.1103/physreva.85.024101 · Cited by 33
Shafiei, F., Srinivasan, P., & Ou, Z. Y. (2004) · Physical Review A · doi:10.1103/physreva.70.043803 · Cited by 34
Bell’s inequalities and distillability inN-quantum-bit systems
Acín, A., Scarani, V., & Wolf, M. M. (2002) · Physical Review A · doi:10.1103/physreva.66.042323 · Cited by 34
Stronger Two-Observer All-Versus-Nothing Violation of Local Realism
Cabello, A. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.210401 · Cited by 33
Global versus local quantum correlations in the Grover search algorithm
Batle, J. A. I., Ooi, C. H. R., Farouk, A., Alkhambashi, M., & Abdalla, S. (2015) · Quantum Information Processing · doi:10.1007/s11128-015-1174-y · Cited by 34
Sample-Efficient Device-Independent Quantum State Verification and Certification
Gočanin, A., Šupić, I., & Dakić, B. (2022) · PRX Quantum · doi:10.1103/prxquantum.3.010317 · Cited by 39
“The simplest example is the tripartite qubit GHZ state and self-testing based on the Mermin’s inequality [54] ∑ o1,o2,o3 (−1)o1+o2+o3 ( p(o1, o2, o3|0,0,1)+ p(o1, o2, o3|0,1,0)+ + p(o1, o2, o3|1,0,0)− p(o1, o2, o3|1,1,1) )≤ 2.”
BackgroundRotationalInvariance as an Additional Constraint on Local Realism
Nagata, K., Laskowski, W., Wieśniak, M., & Żukowski, M. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.230403 · Cited by 32
Characterizing multipartite symmetric Dicke states under the effects of noise
Campbell, S., Tame, M., & Paternostro, M. (2009) · New Journal of Physics · doi:10.1088/1367-2630/11/7/073039 · Cited by 33
Resource Efficient Source of Multiphoton Polarization Entanglement
Megidish, E., Shacham, T., Halevy, A., Dovrat, L., & Eisenberg, H. S. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.080504 · Cited by 33
Incompatibility between quantum mechanics and classical realism in the ‘‘strong’’ macroscopic limit
Home, D., & Majumdar, A. S. (1995) · Physical Review A · doi:10.1103/physreva.52.4959 · Cited by 32
Distributed quantum dense coding with two receivers in noisy environments
Das, T., Prabhu, R., Sen, A., & Sen, U. (2015) · Physical Review A · doi:10.1103/physreva.92.052330 · Cited by 31
Quantifying multipartite nonlocality via the size of the resource
Curchod, F. J., Gisin, N., & Liang, Y.-C. (2015) · Physical Review A · doi:10.1103/physreva.91.012121 · Cited by 30
Do multipartite correlations speed up adiabatic quantum computation or quantum annealing?
Batle, J. A. I., Ooi, C. H. R., Farouk, A., Abutalib, M. M., & Abdalla, S. (2016) · Quantum Information Processing · doi:10.1007/s11128-016-1324-x · Cited by 32
Experimentally Robust Self-testing for Bipartite and Tripartite Entangled States
Zhang, W.-H., Chen, G., Peng, X.-X., Ye, X.-J., Yin, P., Xiao, Y., Hou, Z., Cheng, Z.-D., Wu, Y.-C., Xu, J., et al. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.240402 · Cited by 32
Quantum random number generators with entanglement for public randomness testing
Jacak, J. E., Jacak, W. A., Donderowicz, W. A., & Jacak, L. (2020) · Scientific Reports · doi:10.1038/s41598-019-56706-2 · Cited by 35
“…or statistical proofs of Bell or Mermin type inequalities violation proving non-classical entanglement and thus quantumness of the protocol 12,13 (but again statistically and imperfectly, which can be tackled with special protocols for error correction 14,15 , especially such as entanglement…”
BackgroundMa, Y., Pan, X., Cai, W., Mu, X. D., Xu, Y., Hu, L., Wang, W., Wang, H., Song, Y., Yang, Z., et al. (2020) · Physical Review Letters · doi:10.1103/physrevlett.125.180503 · Cited by 30
“The ratio of the Bell’s signal associated with a GHZ state to the bound allowed by local realism increases with the number of entangled qubits, indicating the larger the entanglement the stronger the nonclassical effect [6].”
BackgroundInfluentialTesting for Multipartite Quantum Nonlocality Using Functional Bell Inequalities
He, Q., Cavalcanti, E. G., Reid, M. D., & Drummond, P. D. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.180402 · Cited by 31
Entanglement and nonlocality in multi-particle systems
Reid, M. D., He, Q., & Drummond, P. D. (2012) · Frontiers of Physics · doi:10.1007/s11467-011-0233-9 · Cited by 31
Generalized Ardehali-Bell inequalities for graph states
Gühne, O., & Cabello, A. (2008) · Physical Review A · doi:10.1103/physreva.77.032108 · Cited by 31
On the Use of Quantum Entanglement in Secure Communications: A SurveyPreprint
Shannon, K., Towe, E., & Tonguz, O. K. (2020) · arXiv (Cornell University) · doi:10.48550/arxiv.2003.07907 · Cited by 42
“c Down Conversion (SPDC). However, more than two electrons or photons can also be entangled. For example, in 3-party systems, one can have entanglement in the Greenberger-Horne-Zeilinger ( GHZ) state [2]: |GHZi= |000i+ |111i, or in the W state: |Wi= |001i+ |010i+ |100i(named after W. Dür [3]).The three - party entangl…”
BackgroundLawrence, J. (2014) · Physical Review A · doi:10.1103/physreva.89.012105 · Cited by 30
Finite-key analysis for quantum conference key agreement with asymmetric channels
Li, Z., Cao, X., Li, C.-L., Weng, C.-X., Gu, J., Yin, H., & Chen, Z. (2021) · Quantum Science and Technology · doi:10.1088/2058-9565/ac1e00 · Cited by 30
“Specifically, the conference key can be naturally established with distribution of Greenberger-Horne-Zeilinger (GHZ) entangled states [23, 27, 28] and local projection measurement, which has been proved to precede simple bipartite QKD links [29].”
BackgroundBell's inequalities and EPR–Bohm correlations: working classical radiofrequency model
Evdokimov, N. V., Клышко, Д. Н., Комолов, В. П., & Yarochkin, V. A. (1996) · Physics-Uspekhi · doi:10.1070/pu1996v039n01abeh000129 · Cited by 30
Tests of multimode quantum nonlocality with homodyne measurements
Acín, A., Cerf, N. J., Ferraro, A., & Niset, J. (2009) · Physical Review A · doi:10.1103/physreva.79.012112 · Cited by 30
Robust self-testing of two-qubit states
Coopmans, T. J., Kaniewski, J., & Schaffner, C. (2019) · Physical Review A · doi:10.1103/physreva.99.052123 · Cited by 33
Two-setting Bell inequalities for many qubits
Chen, K., Albeverio, S. A., & Fei, S.-M. (2006) · Physical Review A · doi:10.1103/physreva.74.050101 · Cited by 30
Greenberger-Horne-Zeilinger paradoxes with symmetric multiport beam splitters
Żukowski, M., & Kaszlikowski, D. (1999) · Physical Review A · doi:10.1103/physreva.59.3200 · Cited by 31
Hardy's nonlocality theorem for n spin- particles
Pagonis, C., & Clifton, R. K. (1992) · Physics Letters A · doi:10.1016/0375-9601(92)90070-3 · Cited by 30
Simple Explanation of the Quantum Limits of Genuine n -Body Nonlocality
Cabello, A. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.220402 · Cited by 27
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
“This increase withn is analogous to the enhancement of nonlocality in quantum mechanics for many-particle Greenberger-Horne Zeilinger states [39].”
BackgroundChowdhury, P., Majumdar, A. S., & Agarwal, G. S. (2013) · Physical Review A · doi:10.1103/physreva.88.013830 · Cited by 28
Randomness versus nonlocality in the Mermin-Bell experiment with three parties
Woodhead, E., Bourdoncle, B., & Acín, A. (2018) · Quantum · doi:10.22331/q-2018-08-17-82 · Cited by 31
Device-independent quantum secret sharing in arbitrary even dimensions
Roy, S., & Mukhopadhyay, S. (2019) · Physical Review A · doi:10.1103/physreva.100.012319 · Cited by 29
“Mermin [28] derived such a violation for arbitrarily many qubits and showed that the degree of violation increases exponentially with the number of involved particles.”
BackgroundNon-adaptive measurement-based quantum computation and multi-party Bell inequalities
Hoban, M. J., Campbell, E. T., Loukopoulos, K., & Browne, D. E. (2011) · UCL Discovery (University College London) · Cited by 29
Fully device-independent model on quantum networks
Luo, M. (2022) · Physical Review Research · doi:10.1103/physrevresearch.4.013203 · Cited by 32
Controlled quantum teleportation in the presence of an adversary
Gangopadhyay, S., Wang, T.-J., Mashatan, A., & Ghose, S. (2022) · Physical Review A · doi:10.1103/physreva.106.052433 · Cited by 31
“This device independent scenario is certified to be quantum if the obtained correlations violate Mermin’s inequality [22].”
BackgroundAldana, S., Wang, Y.-D., & Bruder, C. (2011) · Physical Review B · doi:10.1103/physrevb.84.134519 · Cited by 29
Mermin's inequalities of multiple qubits with orthogonal measurements on IBM Q 53‐qubit system
Huang, W., Chien, W., Cho, C., Huang, C., Huang, T., & Chang, C. (2020) · Quantum Engineering · doi:10.1002/que2.45 · Cited by 32
“� ′) (1) where 𝑀1=𝑎1=�, 𝑀′1=𝑎′1=�, 𝑎�=�, 𝑎′�=�, and integer n 2. Operator X and operator Y represent Pauli-X gate and Pauli-Y gate respectively. The GHZ-like state7 is |Ψ�⟩= 1 √2 (|00…0⟩+��𝜑|11…1⟩) (2) is the phase angle and the expectation value of Mermin’s polynomials are ⟨𝑀�⟩={ 2�− 1 2cos(𝜑− �−1 4 𝜋), � =�𝑣�� 2�−1c…”
Feasibility of loophole-free nonlocality tests with a single photon
Chaves, R., & Brask, J. B. (2011) · Physical Review A · doi:10.1103/physreva.84.062110 · Cited by 28
Bell inequality, separability and entanglement distillation
Li, M., Fei, S., & Li‐Jost, X. (2011) · Chinese Science Bulletin · doi:10.1007/s11434-011-4395-1 · Cited by 28
Trading Locality for Time: Certifiable Randomness from Low-Depth Circuits
Coudron, M., Stark, J., & Vidick, T. (2021) · Communications in Mathematical Physics · doi:10.1007/s00220-021-03963-w · Cited by 35
“For concreteness we give two examples of stabilizer games, the Memin-Peres Magic Square game [Mer90b] and the Mermin GHZ game [Mer90a].”
MethodJoint measurements and Bell inequalities
Son, W., Andersson, E., Barnett, S. M., & Kim, M. S. (2005) · Physical Review A · doi:10.1103/physreva.72.052116 · Cited by 28
Bell's inequality and the Schmidt decomposition
Barnett, S. M., & Phoenix, S. J. D. (1992) · Physics Letters A · doi:10.1016/0375-9601(92)90196-s · Cited by 28
Preparation of a four-atom Greenberger-Horne-Zeilinger state
Gerry, C. C. (1996) · Physical Review A · doi:10.1103/physreva.53.4591 · Cited by 29
Haroche, S. (1995) · Annals of the New York Academy of Sciences · doi:10.1111/j.1749-6632.1995.tb38957.x · Cited by 28
Passive and active nonlocality sharing for a two-qubit system via weak measurements
Ren, C., Feng, T., Yao, D., Shi, H., Chen, J., & Zhou, X. (2019) · Physical Review A · doi:10.1103/physreva.100.052121 · Cited by 29
Towards practical anonymous quantum communication: A measurement-device-independent approach
Yang, Y., Liu, X.-X., Gao, S., Zhou, Y., Shi, W.-M., Li, J., & Li, D. (2021) · Physical Review A · doi:10.1103/physreva.104.052415 · Cited by 26
High-dimensional quantum nature of ghost angular Young’s diffraction
Chen, L., Leach, J., Jack, B., Padgett, M. J., Franke‐Arnold, S., & She, W. (2010) · Physical Review A · doi:10.1103/physreva.82.033822 · Cited by 27
Proposed test of macroscopic quantum contextuality
Cabello, A. (2010) · Physical Review A · doi:10.1103/physreva.82.032110 · Cited by 27
Hong-Ou-Mandel interferometer with one and two photon pairs
Cosme, O., Pádua, S., Bovino, F. A., Mazzei, A., Sciarrino, F., & Martini, F. D. (2008) · Physical Review A · doi:10.1103/physreva.77.053822 · Cited by 27
Metadata
- 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)
- 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
