Classical rules and quantum strategies in penny flip game

被引：10

作者：

Balakrishnan, S. ^{[1
]}

Sankaranarayanan, R. ^{[1
]}

机构：

[1] Natl Inst Technol, Dept Phys, Tiruchirappalli 620015, Tamil Nadu, India

来源：

QUANTUM INFORMATION PROCESSING | 2013年 / 12卷 / 02期

关键词：

Quantum game; Penny flip problem; Quantum strategy;

D O I：

10.1007/s11128-012-0464-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the quantum single penny flip game under various classical rules of the game. For every rule of the game, there exist unitary transformations which ensure the winning for quantum player. With the aim to understand the role of entangling gate for a sequential zero sum game, we extend the single penny problem to two penny problem. While entangling gates are found to be not useful, local gates are necessary and sufficient to win the game. Further, importance of one qubit operations is indicated. Various rules of two penny game is also indicated.

引用

收藏

页码：1261 / 1268

页数：8

相关论文

共 16 条

[1] Multiplayer quantum games [J].

Benjamin, SC ;

Hayden, PM .

PHYSICAL REVIEW A, 2001, 64 (03) :4

[2] An Analysis of the Quantum Penny Flip Game using Geometric Algebra [J].

Chappell, James M. ;

Iqbal, Azhar ;

Lohe, M. A. ;

von Smekal, Lorenz .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2009, 78 (05)

[3]

Chuang I. N., 2000, Quantum Computation and Quantum Information

[4] Entanglement playing a dominating role in quantum games [J].

Du, JF ;

Xu, XD ;

Li, H ;

Zhou, XY ;

Han, RD .

PHYSICS LETTERS A, 2001, 289 (1-2) :9-15

[5] Quantum games and quantum strategies [J].

Eisert, J ;

Wilkens, M ;

Lewenstein, M .

PHYSICAL REVIEW LETTERS, 1999, 83 (15) :3077-3080

[6] Advantage of a quantum player over a classical one in 2X2 quantum games [J].

Flitney, AP ;

Abbott, D .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2003, 459 (2038) :2463-2474

[7] A survey of quantum games [J].

Guo, Hong ;

Zhang, Juheng ;

Koehler, Gary J. .

DECISION SUPPORT SYSTEMS, 2008, 46 (01) :318-332

[8] A quantum approach to static games of complete information [J].

Marinatto, L ;

Weber, T .

PHYSICS LETTERS A, 2000, 272 (5-6) :291-303

[9] Quantum strategies [J].

Meyer, DA .

PHYSICAL REVIEW LETTERS, 1999, 82 (05) :1052-1055

[10] EQUILIBRIUM POINTS IN N-PERSON GAMES [J].

NASH, JF .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1950, 36 (01) :48-49