Quantum Random Walk in Periodic Potential on a Line
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摘要:
Quantum walks(QWs),as the quantum version of the classical random walks,were first introduced in 1993.[1] Recently,QWs have attracted great attention from mathematicians,computer scientists,physicists,and engineers.[2,3] Some new quantum algorithms based on quantum walks have already been proposed.[5-9] They proved that a discrete time quantum walk can be used to perform an oracle search on a database of N items with O(√N) called the oracle,[5]and can also be used for universal computation.[10,11]
QWs in many different situations have been studied extensively.For example,the QWs in graph,[12]on a line with a moving boundary,[13] with multiple coins[17] or decoherent coins.