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Quantum Information Processing

Comfortable place for quantum walker on finite path

  • 01-07-2022
Published in:
Authors
Yoshihiro Anahara
Norio Konno
Hisashi Morioka
Etsuo Segawa
Published in
Quantum Information Processing | Issue 7/2022

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Abstract

The article delves into the dynamics of a quantum walker on a finite path, focusing on the concept of comfortability, which describes the energy in the interior of the path. It introduces the distribution of comfortability and presents weak limit theorems for large size paths, depending on the frequency of the inflow. The main result is the expression of the density function of the comfortability distribution in a simple form, depending on the frequency. The paper also discusses the absorption problem and the spectral analysis of the time evolution operator, highlighting the connections between quantum walks and traditional scattering theory. The findings have implications for understanding the geometric information on the graph and the fundamental structure of quantum walks.
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previous article Mixed-state parameterization and two-qubit entanglement
next article Self-guided quantum state learning for mixed states
Title
Comfortable place for quantum walker on finite path
Authors
Yoshihiro Anahara
Norio Konno
Hisashi Morioka
Etsuo Segawa
Publication date
01-07-2022
Publisher
Springer US
Published in
Quantum Information Processing / Issue 7/2022
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-022-03588-5
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