Entropy fluctuation and correlation transfer in tunable discrete-time quantum walk with fractional Gaussian noise

Document Type

Article

Publication Date

8-1-2022

Abstract

We study the time correlation in the von Neumann entropy fluctuation of the tunable discrete-time quantum walk in one dimension, induced by the coin disorder arising from the temporal fractional Gaussian noise (fGn). The fGn is characterized by the Hurst exponent H, which provides three different correlation scenarios, namely antipersistent (0 < H < 0.5), memoryless (H = 0.5), and persistent (0.5 < H < 1). We show the correlation of fGn is transferred to the coin's degree of entanglement and eventually transpires in the time correlation of the von Neumann entropy fluctuation. This study hints at the potential of using noise correlation as a resource to sustain information backflow via the interaction of quantum system with the noisy environment.

Keywords

Physics, Fluids, Plasmas, Mathematical

Divisions

Science

Funders

Malaysian Ministry of Higher Education Fundamental Research Grant Scheme [FRGS/1/2020/STG07/UM/01/2]

Publication Title

Physical Review E (PRE)

Volume

106

Issue

2

Publisher

American Physical Society

Publisher Location

ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA

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