Return probability of one-dimensional discrete-time quantum walks with final-time dependence

Yusuke Ide; Norio Konno; Takuya Machida; Etsuo Segawa

Return probability of one-dimensional discrete-time quantum walks with final-time dependence

Yusuke Ide, Norio Konno, Takuya Machida, Etsuo Segawa

Information Sciences

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

We analyze final-time dependent discrete-time quantum walks in one dimension. We compute asymptotics of the return probability of the quantum walk by a path counting approach. Moreover, we discuss a relation between the quantum walk and the corresponding final-time dependent classical random walk.

Original language	English
Pages (from-to)	761-773
Number of pages	13
Journal	Quantum Information and Computation
Volume	11
Issue number	9-10
Publication status	Published - 2011 Sept 1

Keywords

Quantum walk
Return probability
Time-dependence

ASJC Scopus subject areas

Theoretical Computer Science
Statistical and Nonlinear Physics
Nuclear and High Energy Physics
Mathematical Physics
Physics and Astronomy(all)
Computational Theory and Mathematics

Cite this

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title = "Return probability of one-dimensional discrete-time quantum walks with final-time dependence",

abstract = "We analyze final-time dependent discrete-time quantum walks in one dimension. We compute asymptotics of the return probability of the quantum walk by a path counting approach. Moreover, we discuss a relation between the quantum walk and the corresponding final-time dependent classical random walk.",

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AU - Ide, Yusuke

AU - Konno, Norio

AU - Machida, Takuya

AU - Segawa, Etsuo

PY - 2011/9/1

Y1 - 2011/9/1

N2 - We analyze final-time dependent discrete-time quantum walks in one dimension. We compute asymptotics of the return probability of the quantum walk by a path counting approach. Moreover, we discuss a relation between the quantum walk and the corresponding final-time dependent classical random walk.

AB - We analyze final-time dependent discrete-time quantum walks in one dimension. We compute asymptotics of the return probability of the quantum walk by a path counting approach. Moreover, we discuss a relation between the quantum walk and the corresponding final-time dependent classical random walk.

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KW - Time-dependence

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ER -

Return probability of one-dimensional discrete-time quantum walks with final-time dependence

Abstract

Keywords

ASJC Scopus subject areas

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