Entanglement enhanced multiplayer quantum games

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 302, Issue 5-6, 2002, Pages 229-233

  Du, Jiangfeng ^a,b   Li, Hui ^a   Xu, Xiaodong ^a   Zhou, Xianyi ^a   Han, Rongdian ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

GAME THEORY;

INITIAL STATE; MULTIPLAYERS; NASH EQUILIBRIA; PRISONER'S DILEMMA; QUANTUM GAMES;

QUANTUM ENTANGLEMENT;

ARTICLE; CALCULATION; EQUILIBRIUM CONSTANT; GAME; INFORMATION PROCESSING; MATHEMATICAL MODEL; PHYSICAL MODEL; QUANTUM THEORY; THEORY;

EID: 0037201216     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(02)01144-1     Document Type: Article

References (19)

1. M.A. Nowak, K. Sigmund, Nature 398 (1999) 367.
2. E. Llarreich, Nature 414 (2001) 244.
3. P. Ball, Nature. Science Update (18 October 1999).
4. I. Peteron, Science News 156 (1999) 334.
5. G. Collins, Schr6dinger's games, Sci. Am. (Jan. 2000).
6. D.A. Meyer, Phys. Rev. Lett. 82 (1999) 1052.
7. D.A. Meyer, LANL preprint, quant-ph/0004092.
8. J. Eisert, M. Wilkens, M. Lewenstein, Phys. Rev. Lett. 83 (1999) 3077.
9. J. Du, et al., Phys. Lett. A 289 (2001) 9.
10. L. Marinatto, T. Weber, Phys. Lett. A 272 (2000) 291.
11. A. Iqbal, A. Toor, Phys. Lett. A 280 (2001) 249.
12. J. Du, et al., Phys. Rev. Lett. 88 (2002) 137902.
13. N.F. Johnson, Phys. Rev. A 63 (2001) 020302(R).
14. S.C. Benjamin, P.M. Hayden, Phys. Rev. A 64 (2001) 030301(R).
15. P. Schewe, J. Riordon, B. Stein, Physics News Update, Number 557 #3 (2001).
16. S.C. Benjamin, P.M. Hayden, Phys. Rev. Lett. 87 (2001) 069801.
17. J. Eisert, M. Wilkens, M. Lewenstein, Phys. Rev. Lett. 87 (2001)069802.
18. J. Eisert, M. Wilkens, J. Mod. Opt. 47 (2000) 2543.
19. P.D. Straffin, Game Theory and Strategy, The Mathematical Association of America, 1993. The original numerical values of the entries in the payoff matrix is a little different from the ones that used in this Letter. In order to set all the entries be positive valued, we shift all the original values by +2 points. Obviously, this shifting will definitely not affect any equilibrium-related properties of the game (not only the classical game but also the quantum version). And this shifting can make a direct correspondence between the 3-player Prisoner's Dilemma and the 2-player case.