Quantum game of the same color cards

Abstract

Abstract:

Quantum game is one of the important branches in quantum information. Based on the theory of the single-coin-tossing quantum game, quantum game of the same color cards is discussed here, and the theory is also extended for the model which has N states. In classical game, two players shuffle the 13 cards which have the same color in turn, and anyone can not control which the last card is. In quantum game, if one of the players, such as Bob, shuffles the cards using quantum strategies instead of classical ones, while the other player still adopts the usual classical operation, he could always make the last card be what he wants. And then, it is concluded that quantum strategies are more successful than classical ones for the game of the same color cards.

Key words: quantum information, the same color cards, quantum strategy, quantum games

CLC Number:

O431.2

WANG Qing-liang, REN Heng-feng, HOU Sheng-xia, LIAN Run-ming. Quantum game of the same color cards[J]. J4, 2012, 29(2): 171-177.

References

[1] Sleane A. The ion trap quantum information processor[J]. Appl Phys B, 1997, 64: 623.
[2] Monroe C, Meekhor D M, et al. Demonstration of a fundamental quantum logic gate[J]. Phys Rev Lett, 1995, 75: 4714.
[3] Turchette Q A, Hood C J, et al. Measurement of conditional phase shifts for quantum logic[J]. Phys Rev Lett, 1995, 75: 4710.
[4] Gershenfeld N A, et al. Bulk spin-resonance quantum computation[J]. Science, 1997, 275: 350.
[5] Loss D, Divincenzo D P. Quantum computation with quantum dots[J]. Phys Rev A, 1998, 57: 120.
[6] Barenco A, Deutsch D, et al. Conditional quantum dynamics and logic gates[J]. Phys Rev Lett, 1995, 74: 4083.
[7] Neumann J V, Morgenstern O. Theory of Games and Economic Behavior[M]. Princeton, NJ: Princeton University Press, 1944.
[8] Gibbons R A. Primer in Game Theory[M]. New York: Harvester Wheatsheaf, 1992.
[9] Eisert J, Wilkens M, Lewenstein M. Quantum games and quantum strategies[J].Phys Rev Lett, 1999, 83: 3077.
[10] Meyer D A. Quantum strategies[J]. Phys Rev Lett, 1999, 82: 1052
[11] Chen J L, et al. Noisy quantum game[J]. Phys Rev A, 2002, 65: 052320.
[12] Benjamin S C, Hayden P M. Multi-player quantum games[J]. Phys Rev A, 2001, 64(3): 030301.
[13] Ren Heng-Feng, Wang Qing-Liang. Quantum game of two discriminable coins[J]. Int J Theor Phy, 2008, 47: 1828-1835.
[14] Ren Hengfeng, Wang Qingliang. Quantum dice[J]. Chinese Journal of Quantum Electronics (量子电子学报), 2008, 25(3): 272-275. (in Chinese).
[15] Su Xiaoqin, Guo Guangcan. Quantum communication and quantum computation [J].Chinese Journal of Quantum Electronics (量子电子学报), 2004, 21(6): 706-718. (in Chinese).
[16] Ji Xin, Zhang Shou. Teleportation of the three-particle entangled state by two EPR pairs [J].Chinese Journal of Quantum Electronics (量子电子学报), 2006, 23(6): 816-819. (in Chinese).