QUANTUM WALKS AND THEIR ALGORITHMIC APPLICATIONS

被引:427
作者
Ambainis, Andris [1 ]
机构
[1] Univ Calif Berkeley, Div Comp Sci, Berkeley, CA 94720 USA
关键词
Quantum algorithms; quantum walks; quantum search;
D O I
10.1142/S0219749903000383
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Quantum walks are quantum counterparts of Markov chains. In this article, we give a brief overview of quantum walks, with emphasis on their algorithmic applications.
引用
收藏
页码:507 / 518
页数:12
相关论文
共 30 条
[1]  
AARONSON S, P FOCS 03, P200
[2]  
Aharonov D., P STOC 01, P50
[3]   QUANTUM RANDOM-WALKS [J].
AHARONOV, Y ;
DAVIDOVICH, L ;
ZAGURY, N .
PHYSICAL REVIEW A, 1993, 48 (02) :1687-1690
[4]  
AMBAINIS A, QUANTPH0305179
[5]  
AMBAINIS A, QUANTPH0311001
[6]  
[Anonymous], QUANTPH0010117
[7]  
[Anonymous], P STOC 96
[8]  
Bach E., QUANTPH0207008
[9]  
Benioff P., 2002, AMS CONT MATH SERIES
[10]   Strengths and weaknesses of quantum computing [J].
Bennett, CH ;
Bernstein, E ;
Brassard, G ;
Vazirani, U .
SIAM JOURNAL ON COMPUTING, 1997, 26 (05) :1510-1523