Quantum Communication in Games

Several different definitions of quantum games have been proposed over the past five years. Some of the results claimed for the differences between these quantum games and classical games identified as those to which they correspond have been criticized, however, as not being fair comparisons. In this paper I define classical and quantum versions of games with mediated communication, and propose that these are the classical and quantum games that should be compared.

[1]  Kimble,et al.  Unconditional quantum teleportation , 1998, Science.

[2]  Richard J. Hughes,et al.  Practical free-space quantum key distribution over 10 km in daylight and at night , 2002, quant-ph/0206092.

[3]  N. Gisin,et al.  Experimental Demonstration of Quantum Cryptography Using Polarized Photons in Optical Fibre over More than 1 km , 1993 .

[4]  Charles H. Bennett,et al.  Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. , 1993, Physical review letters.

[5]  Eric van Damme,et al.  Non-Cooperative Games , 2000 .

[6]  Ekert,et al.  Quantum cryptography based on Bell's theorem. , 1991, Physical review letters.

[7]  Peterson,et al.  Daylight quantum key distribution over 1.6 km , 2000, Physical review letters.

[8]  Gilles Brassard,et al.  Quantum Cryptography, or Unforgeable Subway Tokens , 1982, CRYPTO.

[9]  H. Weinfurter,et al.  Experimental quantum teleportation , 1997, Nature.

[10]  S. J. van Enk,et al.  Classical rules in quantum games , 2002 .

[11]  Noble Frankland,et al.  Common Sense and Nuclear Warfare , 1959 .

[12]  R. Aumann.  Subjectivity and Correlation in Randomized Strategies , 1974 .

[13]  N. Gisin,et al.  Quantum cryptography over 23 km in installed under-lake telecom fibre , 1996 .

[14]  Gilles Brassard,et al.  Experimental Quantum Cryptography , 1990, EUROCRYPT.

[15]  Luca Marinatto,et al.  A quantum approach to static games of complete information , 2000 .

[16]  J. Eisert,et al.  Quantum Games and Quantum Strategies , 1998, quant-ph/9806088.

[17]  E. Knill,et al.  Complete quantum teleportation using nuclear magnetic resonance , 1998, Nature.

[18]  E. Rowland.  Theory of Games and Economic Behavior , 1946, Nature.

[19]  R. Selten,et al.  A Generalized Nash Solution for Two-Person Bargaining Games with Incomplete Information , 1972 .

[20]  Stephen Wiesner,et al.  Conjugate coding , 1983, SIGA.

[21]  C. M. Simmons,et al.  Practical free-space quantum key distribution over 1 km , 1998 .