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Open Quantum Systems Decoherence

Explicit expression of scattering operator of some quantum walks on impurities

arXiv

Authors: Takashi Komatsu, Norio Konno, Hisashi Morioka, Etsuo Segawa

Year

2019

Paper ID

39597

Status

Preprint

Abstract Read

~2 min

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Abstract

In this paper, we consider the scattering theory for a one-dimensional quantum walk with impurities which make reflections and transmissions. We focus on an explicit expression of the scattering operator. Our construction of the formula is based on the counting paths of quantum walkers. The Fourier transform of the scattering operator gives an explicit formula of the scattering matrix which is deeply related with the resonant-tunneling for quantum walks.

Why This Paper Matters

This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
It adds a 2019 reference point for readers tracking recent quantum research.
In this paper, we consider the scattering theory for a one-dimensional quantum walk with impurities which make reflections and transmissions.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1912.11555 [2] arXiv https://arxiv.org/abs/1912.11555 [3] Publisher https://arxiv.org/abs/1912.11555

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