Parrondo games as lattice gas automata

被引：60

作者：

Meyer, DA ^{[1
]}

Blumer, H

机构：

[1] Univ Calif San Diego, Dept Math, Project Geometry & Phys, La Jolla, CA 92093 USA

[2] Inst Phys Sci, Los Alamos, NM 87544 USA

来源：

JOURNAL OF STATISTICAL PHYSICS | 2002年 / 107卷 / 1-2期

关键词：

Parrondo games; lattice gas automata; quantum games; quantum lattice gas automata; correlated random walk;

D O I：

10.1023/A:1014566822448

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Parrondo games are coin flipping games with the surprising property that alternating plays of two losing games can produce a winning game. We show that this phenomenon can be modelled by probabilistic lattice gas automata. Furthermore, motivated by the recent introduction of quantum coin flipping games, we show that quantum lattice gas automata provide an interesting definition for quantum Parrondo games.

引用

页码：225 / 239

页数：15

共 52 条

[1]

Abbott D, 2000, AIP CONF PROC, V511, P213, DOI 10.1063/1.59977

[2]

ABBOTT D, 2000, COMMUNICATION FEB

[3]

Andris Ambainis, 2001, P 33 ANN ACM S THEOR, P37, DOI DOI 10.1145/380752.380757

[4]

[Anonymous], 1894, THEORY SOUND

[5]

ARTHUR WB, 1994, AM ECON REV, V84, P406

[6] Multiplayer quantum games [J].

Benjamin, SC ;

Hayden, PM .

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

[7] Quantum lattice-gas models for the many-body Schrodinger equation [J].

Boghosian, BM ;

Taylor, W .

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 1997, 8 (04) :705-716

[8] MICROSCOPIC SHOCK STRUCTURE IN MODEL PARTICLE-SYSTEMS - THE BOGHOSIAN-LEVERMORE CELLULAR AUTOMATION REVISITED [J].

CHENG, Z ;

LEBOWITZ, JL ;

SPEER, ER .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1991, 44 (8-9) :971-979

[9]

CHILDS A, QUANTPH0103020

[10] RELATIVISTIC HARMONIC OSCILLATORS WITH INTRINSIC SPIN STRUCTURE [J].

COOK, PA .

LETTERE AL NUOVO CIMENTO, 1971, 1 (10) :419-+

← 1 2 3 4 5 6 →