Towards characterizing the nonlocality of entangled quantum states

We propose a so-called pseudo-telepathy game for n players demonstrating the nonlocality of quantum information. The simplicity of its classical analysis contrasts the often quite involved analysis of previously proposed such games (G. Brassard, 1999). Moreover, our game allows for a quantitative characterization of entanglement in terms of communication complexity.

[1]  A. Zeilinger,et al.  Going Beyond Bell’s Theorem , 2007, 0712.0921.

[2]  S. Wolf,et al.  The impossibility of pseudotelepathy without quantum entanglement , 2003, IEEE International Symposium on Information Theory, 2003. Proceedings..

[3]  D. Bacon,et al.  Communication cost of simulating Bell correlations. , 2003, Physical review letters.

[4]  Stefan Wolf,et al.  Pseudo-telepathy, entanglement, and graph colorings , 2002, Proceedings IEEE International Symposium on Information Theory,.

[5]  Gilles Brassard,et al.  Cost of Exactly Simulating Quantum Entanglement with Classical Communication , 1999 .

[6]  Harry Buhrman,et al.  Quantum Computing and Communication Complexity , 2001, Bull. EATCS.

[7]  G. Brassard,et al.  Quantum Pseudo-Telepathy , 2004, quant-ph/0407221.

[8]  Harry Buhrman,et al.  Quantum Entanglement and Communication Complexity , 2000, SIAM J. Comput..

[9]  Andris Ambainis,et al.  The quantum communication complexity of sampling , 1998, Proceedings 39th Annual Symposium on Foundations of Computer Science (Cat. No.98CB36280).

[10]  Avi Wigderson,et al.  Quantum vs. classical communication and computation , 1998, STOC '98.

[11]  A. Shimony,et al.  Bell’s theorem without inequalities , 1990 .

[12]  N J Cerf,et al.  Simulating maximal quantum entanglement without communication. , 2005, Physical review letters.

[13]  Peter Hoyer,et al.  Multiparty quantum communication complexity. , 1997 .

[14]  J. Bell.  On the Einstein-Podolsky-Rosen paradox , 1964 .

[15]  Ran Raz,et al.  Exponential separation of quantum and classical communication complexity , 1999, STOC '99.

[16]  R. Cleve,et al.  SUBSTITUTING QUANTUM ENTANGLEMENT FOR COMMUNICATION , 1997, quant-ph/9704026.