More on quantum Bell-type inequalities

• 2006 A. Acin, N. Gisin, B. Toner, "Grothendieck's constant and local models for noisy entangled quantum states." Phys. Rev. A 73, 062105.
• 2010 A. Ajoy, P. Rungta, "Svetlichny's inequality and genuine tripartite nonlocality in three-qubit pure states." Phys. Rev. A 81, 052334. (Also arXiv:0901.0368.)
• 2009 J. Allcock, N. Brunner, M. Pawlowski, V. Scarani, "Recovering part of the boundary between quantum and nonquantum correlations from information causality." Phys. Rev. A 80, 040103. (Also arXiv:0906.3464.)
• 2008 K. Ann, G. Jaeger, "Generic tripartite Bell nonlocality sudden death under local phase noise." Phys. Lett. A 372, 6853-6858. [MR2467884]
• 2009 K. Ann, G. Jaeger, "Finite-time destruction of entanglement and non-locality by environmental influences." Found. Phys. 39, 790-828.
• 2001 G. Auletta, "Foundations and interpretations of quantum mechanics." World Scientific.
• 2006 D. Avis, H. Imai, T. Ito, "On the relationship between convex bodies related to correlation experiments with dichotomic observables." J. Phys. A: Math. Gen. 39, 11283-11299. (Also arXiv:quant-ph/0605148.)
• 2009 D. Avis, S. Moriyama, M. Owari, "From Bell inequalities to Tsirelson's theorem." IEICE Transactions E92-A:5, 1254-1267. (Also arXiv:0812.4887.)
• 2009 J.E. Avron, O. Kenneth, "Entanglement and the geometry of two qubits." Ann. Phys. 324:2, 470-496. [MR2498945]
• 2003 D. Bacon, B.F. Toner, "Bell inequalities with auxiliary communication." Phys. Rev. Lett. 90, 157904. (Also arXiv:quant-ph/0208057v2.)
• 2007 M. Barnett, F. Dowker, D. Rideout, "Popescu-Rohrlich boxes in quantum measure theory." J. Phys. A: Math. Theor. 40:26, 7255-7264.
• 2007 J. Barrett, "Information processing in generalized probabilistic theories." Phys. Rev. A 75, 032304.
• 2009 J. Barrett, M. Leifer, "The de Finetti theorem for test spaces." New J. of Phys. 11, 033024.
• 2005 J. Barrett, N. Linden, S. Massar, S. Pironio, S. Popescu, D. Roberts, "Nonlocal correlations as an information-theoretic resource." Phys. Rev. A 71, 022101.
• 2005 J. Barrett, S. Pironio, "Popescu-Rohrlich correlations as a unit of nonlocality." Phys. Rev. Lett. 95:14, 140401.
• 2003 R.M. Basoalto, I.C. Percival, "BellTest and CHSH experiments with more than two settings." J. Phys. A: Math. Gen. 36, 7411-7423.
• 1986 J.S. Bell, "EPR correlations and EPW distribution." Ann. (N.Y.) Acad. Sci. 480, 263-266.
• 2009 G.K. Brennen, S. Iblisdir, J.K. Pachos, J.K. Slingerland, "Non-locality of non-Abelian anyons." New J. of Phys. 11, 103023. (Also arXiv:0810.4319.)
• 2008 N. Brunner, C. Branciard, N. Gisin, "Possible entanglement detection with the naked eye." Phys. Rev. A 78, 052110.
• 2005 N. Brunner, N. Gisin, V. Scarani, "Entanglement and non-locality are different resources." New J. Phys. 7, 88. (Also arXiv:quant-ph/0412109.)
• 2008 N. Brunner, S. Pironio, A. Acin, N. Gisin, A.A. Methot, V. Scarani, "Testing the dimension of Hilbert spaces." Phys. Rev. Lett. 100, 210503. [MR2009d:81021]
• 2006 N. Brunner, V. Scarani, N. Gisin, "Bell-type inequalities for nonlocal resources." J. Math. Phys. 47, 112101. [MR2277601]
• 2010 H. Buhrman, R. Cleve, S. Massar, R. de Wolf, "Nonlocality and communication complexity." Rev. Mod. Phys. 82:1, 665-698. (Also arXiv:0907.3584.)
• 2005 H. Buhrman, S. Massar, "Causality and Tsirelson's bound." Phys. Rev. A 72, 052103.
• 2006 A. Cabello, "Communication complexity as a principle of quantum mechanics." Found. Phys. 36:4, 512-525.
• 2005 A. Cabello, "How much larger quantum correlations are than classical ones." Phys. Rev. A 72:1, 012113. (Also arXiv:quant-ph/0409192.)
• 2005 N.J. Cerf, N. Gisin, S. Massar, S. Popescu, "Simulating maximal quantum entanglement without communication." Phys. Rev. Lett. 94, 220403.
• 2004 R. Cleve, P. Hoyer, B. Toner, J. Watrous, "Consequences and limits of nonlocal strategies." Proc. 19th IEEE Conf. on Computational Complexity, 236-249. (Also arXiv:quant-ph/0404076.)
• 2008 R. Cleve, W. Slofstra, F. Unger, S. Upadhyay, "Perfect parallel repetition theorem for quantum XOR proof systems." Comput. Complex. 17, 282-299.
• 1997 O. Cohen, "Nonlocality of the original Einstein-Podolsky-Rosen state." Phys. Rev. A 56:5, 3484-3492.
• 2007 J. Degorre, S. Laplante, J. Roland, "Classical simulation of traceless binary observables on any bipartite quantum state." Phys. Rev. A 75, 012309.
• 2004 S. Filipp, K. Svozil, "Generalizing Tsirelson's bound on Bell inequalities using a min-max principle." Phys. Rev. Lett. 93, 130407. (Also arXiv:quant-ph/0403175.)
• 2004 S. Filipp, K. Svozil, "Testing the bounds on quantum probabilities." Phys. Rev. A 69, 032101.
• 2005 S. Filipp, K. Svozil, "Tracing the bounds on Bell-type inequalities." In: AIP Conf. Proc. 750, ed. A. Khrennikov; pp. 87-94. (Also arXiv:quant-ph/0407145).
• 1994 P.C. Fishburn, J.A. Reeds, "Bell inequalities, Grothendieck's constant, and root two." SIAM J. Discrete Math. 7:1, 48-56. [MR95e:05013]
• 2010 M. Fitzi, E. Hanggi, V. Scarani, S. Wolf, "The non-locality of n noisy Popescu-Rohrlich boxes." J. Phys. A 43, 465305.
• 2009 M. Forster, S. Winkler, S. Wolf, "Distilling nonlocality." Phys. Rev. Lett. 102, 120401. [MR2501146]
• 2010 T. Fritz, "Quantum correlations in the temporal Clauser-Horne-Shimony-Holt (CHSH) scenario." New Journal of Physics 12, 083055.
• 2005 M. Genovese, "Research on hidden variable theories: a review of recent progress." Physics Reports 413, 319-396.
• 2002 D. Greenberger, K. Svozil, "A quantum mechanical look at time travel and free will." In: "Between chance and choice" (eds. Atmanspacher and Bishop), Imprint Academic.
• 2010 D. Gross, M. Muller, R. Colbeck, O.C.O. Dahlsten, "All reversible dynamics in maximally nonlocal theories are trivial." Phys. Rev. Lett. 104, 080402. (Also arXiv:0910.1840.)
• 2006 H. Heydari, "Quantum correlation and Grothendieck's constant." J. Phys. A: Math. Gen. 39, 11869-11875. [MR2007g:81012]
• 1995 M. Hillery, B. Yurke, "Bell's theorem and beyond." Quantum Semiclass. Optics 7:3, 215-227.
• 2010 Li-Yi Hsu, Keng-Shuo Wu, "Multipartite nonlocality distillation." Phys. Rev. A 82, 052102.
• 2006 T. Ito, H. Imai, D. Avis, "Bell inequalities stronger than the Clauser-Horne-Shimony-Holt inequality for three-level isotropic states." Phys. Rev. A 73:4, 042109.
• 2005 N.S. Jones, L. Masanes, "Interconversion of nonlocal correlations." Phys. Rev. A 72:5, 052312.
• 2010 M. Junge, M. Navascues, C. Palazuelos, D. Perez-Garcia, V.B. Scholz, R.F. Werner, "Connes' embedding problem and Tsirelson's problem." arXiv:1008.1142
• 2010 M. Junge, C. Palazuelos, D. Perez-Garcia, I. Villanueva, M.M. Wolf, "Operator space theory: a natural framework for Bell inequalities." Phys. Rev. Lett. 104, 170405. (Also arXiv:0912.1941).
• 1990 L.A. Khalfin, "The quantum-classical correspondence in light of classical Bell's and quantum Tsirelson's inequalities." In collection: "Complexity, entropy, and the physics of information" (ed. by W.H. Zurek; Addison-Wesley), 477-493.
• 1998 G. Krenn, K. Svozil, "Stronger-than-quantum correlations." Found. Phys. 28:6, 971-984. [MR99h:81013] (Also arXiv:quant-ph/9503010.)
• 2005 O. Krueger, R.F. Werner (editors), "Some open problems in quantum information theory." arXiv:quant-ph/0504166v1.
• 2003 Shun-long Luo, You-feng Luo, "Correlation and entanglement." Acta Math. Appl. Sin. Engl. Ser. 19:4, 581-598. [MR2004k:81063]
• 2007 A.A. Methot, V. Scarani, "An anomaly of non-locality." Quantum Inf. Comput. 7:1/2, 157-170. [MR2302682]
• 2006 P. Morgan, "Bell inequalities for random fields." J. Phys. A 39:23, 7441-7455.
• 2008 M. Navascues, S. Pironio, A. Acin, "A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations." New J. Phys. 10, 073013.
• 2007 M. Navascues, S. Pironio, A. Acin, "Bounding the set of quantum correlations." Phys. Rev. Lett. 98, 010401.
• 2009 K.F. Pal, T. Vertesi, "Quantum bounds on Bell inequalities." Phys. Rev. A 79, 022120.
• 2009 K.F. Pal, T. Vertesi, "Concavity of the set of quantum probabilities for any given dimension." Phys. Rev. A 80, 042114. (Also arXiv:0905.2915.)
• 2010 K.F. Pal, T. Vertesi, "Maximal violation of a bipartite three-setting, two-outcome Bell inequality using infinite-dimensional quantum systems." Phys. Rev. A 82, 022116.
• 2008 D. Perez-Garcia, M.M. Wolf, C. Palazuelos, I. Villanueva, M. Junge, "Unbounded violation of tripartite Bell inequalities." Commun. Math. Phys. 279, 455-486. (Also arXiv:quant-ph/0702189.)
• 2009 S. Pironio, A. Acin, N. Brunner, N. Gisin, S. Massar, V. Scarani, "Device-independent quantum key distribution secure against collective attacks." New Journal of Physics 11, 045021.
• 2004 I. Pitowsky, "Macroscopic objects in quantum mechanics: A combinatorial approach." Phys. Rev. A 70, 022103.
• 2008 I. Pitowsky, "New Bell inequalities for the singlet space: going beyond the Grothendieck bound." J. Math. Phys. 49, 012101.
• 2008 I. Pitowsky, "Geometry of quantum correlations." Phys. Rev. A 77, 062109.
• 1995 S. Popescu, "Bell's inequalities and density matrices: Revealing 'hidden' nonlocality." Phys. Rev. Lett. 74:14, 2619-2622. [MR96b:81014]
• 1996 S. Popescu, "More powerful tests of nonlocality by sequences of measurements." Ann. Israel Phys. Soc. 12, 144-156.
• 1994 S. Popescu, D. Rohrlich, "Quantum nonlocality as an axiom." Found. Phys. 24:3, 379-385. [MR94m:81005]
• 1997 S. Popescu, D. Rohrlich, "Action and passion at a distance: an essay in honor of professor Abner Shimony." In: Boston Stud. Philos. Sci. 194, Kluwer; pp. 197-206. (Also arXiv:quant-ph/9605004.)
• 2009 O. Regev, B. Toner, "Simulating quantum correlations with finite communication." SIAM Journal on Computing 39:4, 1562-1580. (Also arXiv:0708.0827.)
• 2006 V. Scarani, N. Gisin, N. Brunner, L. Masanes, S. Pino, A. Acin, "Secrecy extraction from no-signaling correlations." Phys. Rev. A 74, 042339.
• 2009 P. Skrzypczyk, N. Brunner, S. Popescu, "Emergence of quantum correlations from nonlocality swapping." Phys. Rev. Lett. 102, 110402.
• 2008 V.B. Scholz, R.F. Werner, "Tsirelson's problem." arXiv:0812.4305.
• 1997 S.J. Summers, "Bell's inequalities and algebraic structure." In: "Operator algebras and quantum field theory", Cambridge, pp. 633-646. [MR99h:46127]
• 2000 K. Svozil, "On generalized probabilities: correlation polytopes for automaton logic and generalized urn models, extensions of quantum mechhanics and parameter cheats." arXiv:quant-ph/0012066.
• 2009 B. Toner, "Monogamy of nonlocal quantum correlations." Proc. Royal Soc. A 465, 59-69. (Also arXiv:quant-ph/0601172.)
• 2006 B.F. Toner, F. Verstraete, "Monogamy of Bell correlations and Tsirelson's bound." arXiv:quant-ph/0611001
• 1999 L. Vaidman, "Variations on the theme of the Greenberger-Horne-Zeilinger proof." Found. Phys. 29:4, 615-630. [MR2001a:81023]
• 2001 L. Vaidman, "Tests of Bell inequalities." Phys. Lett. A 286, 241-244. (Also arXiv:quant-ph/0107057.)
• 2008 T. Vertesi, K.F. Pal, "Generalized Clauser-Horne-Shimony-Holt inequalities maximally violated by higher-dimensional systems." Phys. Rev. A 77, 042106. (Also arXiv:0712.4225.)
• 2006 S. Wehner, "Tsirelson bounds for generalized Clauser-Horne-Shimony-Holt inequalities." Phys. Rev. A 73:2, 022110. (Also arXiv:quant-ph/0510076v2.)
• 2006 S. Wehner, "Entanglement in interactive proof systems with binary answers." Lect. Notes Comp. Sci. 3884:5, 162-171. (Also arXiv:quant-ph/0508201v2.)
• 2008 S. Wehner, M. Christandl, A.C. Doherty, "Lower bound on the dimension of a quantum system given measured data." Phys. Rev. A 78, 062112.
• 2001 R.F. Werner, M.M. Wolf, "All-multipartite Bell-correlation inequalities for two dichotomic observables per site." Phys. Rev. A 64, 032112.
• 2001 R.F. Werner, M.M. Wolf, "Bell inequalities and entanglement." Quantum Inf. Comput. 1:3, 1-25. [MR2003c:81034] (Also arXiv:quant-ph/0107093v2.)
• 2007 M. Wiesniak, P. Badziag, M. Zukowski, "Explicit form of correlation-function three-setting tight Bell inequalities for three qubits." Phys. Rev. A 76, 012110.
• 2010 A. Winter, "The usefulness of uselessness." Nature 466, 1053-1054.
• 2008 Y. Wu, P. Badziag, M. Wiesniak, M. Zukowski, "Extending Bell inequalities to more parties." Phys. Rev. A 77, 032105.