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Topological Quantum Computing

Limit theorem for a time-dependent coined quantum walk on the line

arXiv
Authors: Takuya Machida, Norio Konno

Year

2010

Paper ID

9071

Status

Preprint

Abstract Read

~2 min

Abstract Words

47

Citations

N/A

Abstract

We study time-dependent discrete-time quantum walks on the one-dimensional lattice. We compute the limit distribution of a two-period quantum walk defined by two orthogonal matrices. For the symmetric case, the distribution is determined by one of two matrices. Moreover, limit theorems for two special cases are presented.

Why This Paper Matters

  • This paper contributes to the Topological Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2010 reference point for readers tracking recent quantum research.
  • We study time-dependent discrete-time quantum walks on the one-dimensional lattice.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1004.0425 [2] arXiv https://arxiv.org/abs/1004.0425 [3] Publisher https://arxiv.org/abs/1004.0425

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