{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,22]],"date-time":"2025-11-22T17:03:27Z","timestamp":1763831007203,"version":"3.37.3"},"reference-count":27,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2019,3,22]],"date-time":"2019-03-22T00:00:00Z","timestamp":1553212800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"Ramanujan Fellowship research Grant","award":["SB\/S2\/RJN-083\/2014"],"award-info":[{"award-number":["SB\/S2\/RJN-083\/2014"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"published-print":{"date-parts":[[2019,5]]},"DOI":"10.1007\/s11128-019-2246-1","type":"journal-article","created":{"date-parts":[[2019,3,22]],"date-time":"2019-03-22T11:03:06Z","timestamp":1553252586000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Tight upper bound for the maximal expectation value of the Mermin operators"],"prefix":"10.1007","volume":"18","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5003-7571","authenticated-orcid":false,"given":"Mohd Asad","family":"Siddiqui","sequence":"first","affiliation":[]},{"given":"Sk","family":"Sazim","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,3,22]]},"reference":[{"key":"2246_CR1","doi-asserted-by":"publisher","first-page":"419","DOI":"10.1103\/RevModPhys.86.419","volume":"86","author":"N Brunner","year":"2014","unstructured":"Brunner, N., Cavalcanti, D., Pironio, S., Scarani, V., Wehner, S.: Bell nonlocality. Rev. Mod. Phys. 86, 419 (2014)","journal-title":"Rev. Mod. Phys."},{"key":"2246_CR2","doi-asserted-by":"publisher","first-page":"1927","DOI":"10.1098\/rsta.1998.0256","volume":"356","author":"R Penrose","year":"1998","unstructured":"Penrose, R.: Quantum computation, entanglement and state reduction. Philos. Trans. R. Soc. Lond. Ser. Math. Phys. Eng. Sci. 356, 1927\u20131939 (1998)","journal-title":"Philos. Trans. R. Soc. Lond. Ser. Math. Phys. Eng. Sci."},{"key":"2246_CR3","doi-asserted-by":"publisher","first-page":"1067","DOI":"10.1038\/35074041","volume":"410","author":"JW Pan","year":"2001","unstructured":"Pan, J.W., Simon, C., Brukner, \u010c., Zeilinger, A.: Entanglement purification for quantum communication. Nature 410, 1067 (2001)","journal-title":"Nature"},{"key":"2246_CR4","doi-asserted-by":"publisher","first-page":"145","DOI":"10.1103\/RevModPhys.74.145","volume":"74","author":"N Gisin","year":"2002","unstructured":"Gisin, N., Ribordy, G., Tittel, W., Zbinden, H.: Quantum cryptography. Rev. Mod. Phys. 74, 145 (2002)","journal-title":"Rev. Mod. Phys."},{"key":"2246_CR5","first-page":"R1561","volume":"55","author":"Z Hradil","year":"1997","unstructured":"Hradil, Z.: Quantum-state estimation. Phys. Rev. Lett. 55, R1561 (1997)","journal-title":"Phys. Rev. Lett."},{"key":"2246_CR6","doi-asserted-by":"publisher","first-page":"880","DOI":"10.1103\/PhysRevLett.23.880","volume":"23","author":"JF Clauser","year":"1969","unstructured":"Clauser, J.F., Horne, M.A., Shimony, A., Holt, R.A.: Proposed experiment to test local hidden-variable theories. Phys. Rev. Lett. 23, 880 (1969)","journal-title":"Phys. Rev. Lett."},{"key":"2246_CR7","doi-asserted-by":"publisher","first-page":"3066","DOI":"10.1103\/PhysRevD.35.3066","volume":"35","author":"G Svetlichny","year":"1987","unstructured":"Svetlichny, G.: Distinguishing three-body from two-body nonseparability by a Bell-type inequality. Phys. Rev. D 35, 3066 (1987)","journal-title":"Phys. Rev. D"},{"key":"2246_CR8","doi-asserted-by":"publisher","first-page":"340","DOI":"10.1016\/0375-9601(95)00214-N","volume":"200","author":"R Horodecki","year":"1995","unstructured":"Horodecki, R., Horodecki, P., Horodecki, M.: Violating Bell inequality by mixed spin-\n                    \n                      \n                    \n                    $$\\frac{1}{2}$$\n                    \n                      \n                        \n                          1\n                          2\n                        \n                      \n                    \n                   states: necessary and sufficient condition. Phys. Lett. A 200, 340 (1995)","journal-title":"Phys. Lett. A"},{"key":"2246_CR9","doi-asserted-by":"publisher","first-page":"1838","DOI":"10.1103\/PhysRevLett.65.1838","volume":"65","author":"ND Mermin","year":"1990","unstructured":"Mermin, N.D.: Extreme quantum entanglement in a superposition of macroscopically distinct states. Phys. Rev. Lett. 65, 1838 (1990)","journal-title":"Phys. Rev. Lett."},{"key":"2246_CR10","doi-asserted-by":"publisher","first-page":"042323","DOI":"10.1103\/PhysRevA.96.042323","volume":"96","author":"M Li","year":"2017","unstructured":"Li, M., Shen, S., Jing, N., Fei, S.-M., Li-Jost, X.: Tight upper bound for the maximal quantum value of the Svetlichny operators. Phys. Rev. A 96, 042323 (2017)","journal-title":"Phys. Rev. A"},{"key":"2246_CR11","unstructured":"Adhikari, S., Majumdar, A.S.: An analytical condition for the violation of Mermin\u2019s inequality by any three qubit state, \n                    arXiv:1602.02619\n                    \n                   (2016)"},{"key":"2246_CR12","doi-asserted-by":"publisher","first-page":"6043","DOI":"10.1088\/0305-4470\/34\/30\/314","volume":"34","author":"V Scarani","year":"2001","unstructured":"Scarani, V., Gisin, N.: Spectral decomposition of Bell\u2019s operators for qubits. J. Phys. A Math. Gen. 34, 6043 (2001)","journal-title":"J. Phys. A Math. Gen."},{"key":"2246_CR13","doi-asserted-by":"publisher","first-page":"110403","DOI":"10.1103\/PhysRevLett.93.110403","volume":"93","author":"Z Chen","year":"2004","unstructured":"Chen, Z.: Bell-Klyshko inequalities to characterize maximally entangled states of \n                    \n                      \n                    \n                    $$n$$\n                    \n                      \n                        n\n                      \n                    \n                   qubits. Phys. Rev. Lett. 93, 110403 (2004)","journal-title":"Phys. Rev. Lett."},{"key":"2246_CR14","doi-asserted-by":"publisher","first-page":"032317","DOI":"10.1103\/PhysRevA.69.032317","volume":"69","author":"C Emary","year":"2004","unstructured":"Emary, C., Beenakker, C.W.J.: Relation between entanglement measures and Bell inequalities for three qubits. Phys. Rev. A 69, 032317 (2004)","journal-title":"Phys. Rev. A"},{"key":"2246_CR15","doi-asserted-by":"publisher","first-page":"044302","DOI":"10.1103\/PhysRevA.81.044302","volume":"81","author":"DP Chi","year":"2010","unstructured":"Chi, D.P., Jeong, K., Kim, T., Lee, K., Lee, S.: Concurrence of assistance and Mermin inequality on three-qubit pure states. Phys. Rev. A 81, 044302 (2010)","journal-title":"Phys. Rev. A"},{"key":"2246_CR16","doi-asserted-by":"publisher","first-page":"399","DOI":"10.1016\/0375-9601(93)90228-R","volume":"172","author":"DN Klyshko","year":"1993","unstructured":"Klyshko, D.N.: The Bell and GHZ theorems: a possible three-photon interference experiment and the question of nonlocality. Phys. Lett. A 172, 399 (1993)","journal-title":"Phys. Lett. A"},{"key":"2246_CR17","doi-asserted-by":"publisher","first-page":"020502","DOI":"10.1103\/PhysRevLett.108.020502","volume":"108","author":"C Eltschka","year":"2012","unstructured":"Eltschka, C., Siewert, J.: Entanglement of three-qubit Greenberger\u2013Horne\u2013Zeilinger-symmetric states. Phys. Rev. Lett. 108, 020502 (2012)","journal-title":"Phys. Rev. Lett."},{"key":"2246_CR18","doi-asserted-by":"publisher","first-page":"032101","DOI":"10.1103\/PhysRevA.94.032101","volume":"94","author":"B Paul","year":"2016","unstructured":"Paul, B., Mukherjee, K., Sarkar, D.: Nonlocality of three-qubit Greenberger\u2013Horne\u2013Zeilinger-symmetric states. Phys. Rev. A 94, 032101 (2016)","journal-title":"Phys. Rev. A"},{"key":"2246_CR19","doi-asserted-by":"publisher","first-page":"062325","DOI":"10.1103\/PhysRevA.83.062325","volume":"83","author":"ZH Ma","year":"2011","unstructured":"Ma, Z.H., Chen, Z.H., Chen, J.L., Spengler, C., Gabriel, A., Huber, M.: Measure of genuine multipartite entanglement with computable lower bounds. Phys. Rev. A 83, 062325 (2011)","journal-title":"Phys. Rev. A"},{"key":"2246_CR20","doi-asserted-by":"publisher","first-page":"062320","DOI":"10.1103\/PhysRevA.85.062320","volume":"85","author":"ZH Chen","year":"2012","unstructured":"Chen, Z.H., Ma, Z.H., Chen, J.L., Severini, S.: Improved lower bounds on genuine-multipartite-entanglement concurrence. Phys. Rev. A 85, 062320 (2012)","journal-title":"Phys. Rev. A"},{"key":"2246_CR21","doi-asserted-by":"publisher","first-page":"062303","DOI":"10.1103\/PhysRevA.86.062303","volume":"86","author":"S M Hashemi Rafsanjani","year":"2012","unstructured":"Rafsanjani, S.M.Hashemi, Huber, M., Broadbent, C.J., Eberly, J.H.: Genuinely multipartite concurrence of N-qubit X matrices. Phys. Rev. A 86, 062303 (2012)","journal-title":"Phys. Rev. A"},{"key":"2246_CR22","doi-asserted-by":"publisher","first-page":"030404","DOI":"10.1103\/PhysRevLett.115.030404","volume":"115","author":"R Augusiak","year":"2015","unstructured":"Augusiak, R., Demianowicz, M., Tura, J., Ac\u00edn, A.: Entanglement and nonlocality are inequivalent for any number of parties. Phys. Rev. Lett. 115, 030404 (2015)","journal-title":"Phys. Rev. Lett."},{"key":"2246_CR23","doi-asserted-by":"publisher","first-page":"032108","DOI":"10.1103\/PhysRevA.65.032108","volume":"65","author":"A Cabello","year":"2002","unstructured":"Cabello, A.: Bell\u2019s theorem with and without inequalities for the three-qubit Greenberger\u2013Horne\u2013Zeilinger and W states. Phys. Rev. A 65, 032108 (2002)","journal-title":"Phys. Rev. A"},{"key":"2246_CR24","doi-asserted-by":"publisher","first-page":"5375","DOI":"10.1103\/PhysRevA.46.5375","volume":"46","author":"M Ardehali","year":"1992","unstructured":"Ardehali, M.: Bell inequalities with a magnitude of violation that grows exponentially with the number of particles. Phys. Rev. A 46, 5375 (1992)","journal-title":"Phys. Rev. A"},{"key":"2246_CR25","doi-asserted-by":"publisher","first-page":"653","DOI":"10.1070\/PU1993v036n08ABEH002299","volume":"36","author":"AV Belinski\u01d0","year":"1993","unstructured":"Belinski\u01d0, A.V., Klyshko, D.N.: Interference of light and Bell\u2019s theorem. Physics-Uspekhi 36, 653 (1993)","journal-title":"Physics-Uspekhi"},{"key":"2246_CR26","doi-asserted-by":"publisher","first-page":"165","DOI":"10.1016\/S0375-9601(03)01115-0","volume":"317","author":"C \u015aliwa","year":"2003","unstructured":"\u015aliwa, C.: Symmetries of the Bell correlation inequalities. Phys. Lett. A 317, 165 (2003)","journal-title":"Phys. Lett. A"},{"key":"2246_CR27","doi-asserted-by":"publisher","first-page":"3928","DOI":"10.1016\/j.physleta.2017.10.023","volume":"381","author":"A Das","year":"2017","unstructured":"Das, A., Datta, C., Agrawal, P.: New Bell inequalities for three-qubit pure states. Phys. Lett. A 381, 3928 (2017)","journal-title":"Phys. Lett. A"}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-019-2246-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11128-019-2246-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-019-2246-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,3,21]],"date-time":"2020-03-21T00:11:26Z","timestamp":1584749486000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11128-019-2246-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,3,22]]},"references-count":27,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2019,5]]}},"alternative-id":["2246"],"URL":"https:\/\/doi.org\/10.1007\/s11128-019-2246-1","relation":{},"ISSN":["1570-0755","1573-1332"],"issn-type":[{"type":"print","value":"1570-0755"},{"type":"electronic","value":"1573-1332"}],"subject":[],"published":{"date-parts":[[2019,3,22]]},"assertion":[{"value":"26 March 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 March 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"22 March 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"131"}}