Quantum Games with Strategies Induced by Basis Change Rules

被引：5

作者：

Frackiewicz, Piotr ^{[1
]}

Pykacz, Jaroslaw ^{[2
]}

机构：

[1] Pomeranian Univ, Inst Math, PL-76200 Slupsk, Poland

[2] Univ Gdansk, Inst Math, Fac Math Phys & Informat, PL-80308 Gdansk, Poland

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2017年 / 56卷 / 12期

关键词：

Quantum game; Strategic-form game; Game isomorphism; NASH EQUILIBRIA;

D O I：

10.1007/s10773-017-3423-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The aim of the paper is to draw attention to a special class of two parameter unitary strategies in the Eisert-Wilkens-Lewenstein scheme for quantum games. We identify the players' strategies with basis change matrices. Then we prove that the resulting quantum game is invariant with respect to isomorphic transformations of the input game. Moreover, it is shown that the game so obtained may not be trivial with respect to pure Nash equilibria, compared with the model with strategies being the special unitary group SU(2).

引用

页码：4017 / 4028

页数：12

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