Generalized quantum games with Nash Equilibrium

被引:0
作者
Liu, XF [1 ]
机构
[1] Peking Univ, Dept Math, Beijing 100871, Peoples R China
[2] Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
关键词
quantum game; Nash equilibrium;
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We define generalized quantum games by introducing the coherent payoff operators and propose a simple scheme to illustrate it. The scheme is implemented with a single spin qubit system and a two-entangled-qubit system. The Nash Equilibrium Theorem is proved for the models.
引用
收藏
页码:553 / 556
页数:4
相关论文
共 22 条
[1]   Multiplayer quantum games [J].
Benjamin, SC ;
Hayden, PM .
PHYSICAL REVIEW A, 2001, 64 (03) :4
[2]   Quantum information and computation [J].
Bennett, CH ;
DiVincenzo, DP .
NATURE, 2000, 404 (6775) :247-255
[3]   Experimental quantum error correction [J].
Cory, DG ;
Price, MD ;
Maas, W ;
Knill, E ;
Laflamme, R ;
Zurek, WH ;
Havel, TF ;
Somaroo, SS .
PHYSICAL REVIEW LETTERS, 1998, 81 (10) :2152-2155
[4]   Experimental realization of quantum games on a quantum computer [J].
Du, JF ;
Li, H ;
Xu, XD ;
Shi, MJ ;
Wu, JH ;
Zhou, XY ;
Han, RD .
PHYSICAL REVIEW LETTERS, 2002, 88 (13) :4
[5]   Implementation of a quantum algorithm to solve the Bernstein-Vazirani parity problem without entanglement on an ensemble quantum computer [J].
Du, JF ;
Shi, MJ ;
Zhou, XY ;
Fan, YM ;
Ye, BJ ;
Han, RD ;
Wu, JH .
PHYSICAL REVIEW A, 2001, 64 (04) :5
[6]   Implementing universal multiqubit quantum logic gates in three- and four-spin systems at room temperature [J].
Du, JF ;
Shi, MJ ;
Wu, JH ;
Zhou, XY ;
Han, RD .
PHYSICAL REVIEW A, 2001, 63 (04) :1-5
[7]   Can quantum-mechanical description of physical reality be considered complete? [J].
Einstein, A ;
Podolsky, B ;
Rosen, N .
PHYSICAL REVIEW, 1935, 47 (10) :0777-0780
[8]   Quantum games and quantum strategies [J].
Eisert, J ;
Wilkens, M ;
Lewenstein, M .
PHYSICAL REVIEW LETTERS, 1999, 83 (15) :3077-3080
[9]   Experimental implementation of dense coding using nuclear magnetic resonance [J].
Fang, XM ;
Zhu, XW ;
Feng, M ;
Mao, X ;
Du, F .
PHYSICAL REVIEW A, 2000, 61 (02) :5
[10]   Quantum gambling [J].
Goldenberg, L ;
Vaidman, L ;
Wiesner, S .
PHYSICAL REVIEW LETTERS, 1999, 82 (16) :3356-3359