QUANTUM PARRONDO'S GAMES CONSTRUCTED BY QUANTUM RANDOM WALKS

CORC > 厦门大学 > 继续教育－已发表论文

	QUANTUM PARRONDO'S GAMES CONSTRUCTED BY QUANTUM RANDOM WALKS
	Li, Min ; Zhang, Yong-Sheng ; Guo, Guang-Can ; Li M(李敏)
刊名	http://dx.doi.org/10.1142/S0219477513500247
	2013
关键词	BROWNIAN RATCHETS
英文摘要	National Natural Science Foundation of China [10974192, 61275122]; National Fundamental Research Program of China [2011CB921200, 2011CBA00200]; K. C. Wong Education Foundation; CAS; We construct a Parrondo's game using discrete-time quantum walks (DTQWs). Two losing games are represented by two different coin operators. By mixing the two coin operators U-A(alpha(A), beta(A), gamma(A)) and U-B(alpha(B), beta(B), gamma(B)), we may win the game. Here, we mix the two games in position instead of time. With a number of selections of the parameters, we can win the game with sequences ABB, ABBB, etc. If we set beta(A) = 45 degrees, gamma(A) = 0, alpha(B) = 0, beta(B) = 88 degrees, we find game 1 with U-A(S) = U-S(-51 degrees, 45 degrees, 0), U-B(S) = U-S(0, 88 degrees, -16 degrees) will win and get the most profit. If we set alpha(A) = 0, beta(A) = 45 degrees, alpha(B) = 0, beta(B) = 88 degrees and game 2 with U-A(S) = U-S(0, 45 degrees, -51 degrees), U-B(S) = U-S(0, 88 degrees, -67 degrees) will win most. Game 1 is equivalent to game 2 with changes in sequences and steps. But at large enough steps, the game will lose at last. Parrondo's paradox does not exist in classical situation with our model.
语种	英语
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/89961]
专题	继续教育－已发表论文
推荐引用方式 GB/T 7714	Li, Min,Zhang, Yong-Sheng,Guo, Guang-Can,et al. QUANTUM PARRONDO'S GAMES CONSTRUCTED BY QUANTUM RANDOM WALKS[J]. http://dx.doi.org/10.1142/S0219477513500247,2013.
APA	Li, Min,Zhang, Yong-Sheng,Guo, Guang-Can,&李敏.(2013).QUANTUM PARRONDO'S GAMES CONSTRUCTED BY QUANTUM RANDOM WALKS.http://dx.doi.org/10.1142/S0219477513500247.
MLA	Li, Min,et al."QUANTUM PARRONDO'S GAMES CONSTRUCTED BY QUANTUM RANDOM WALKS".http://dx.doi.org/10.1142/S0219477513500247 (2013).