Mixed-permutation channel with its application to estimate quantum coherence

Fuente: arXiv
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Hauptverfasser: Zhang, Lin, Zhao, Ming-Jing
Format: Preprint
Veröffentlicht: 2024
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author Zhang, Lin
Zhao, Ming-Jing
author_facet Zhang, Lin
Zhao, Ming-Jing
contents Quantum channel, as the information transmitter, is an indispensable tool in quantum information theory. In this paper, we study a class of special quantum channels named the mixed-permutation channels. The properties of these channels are characterized. The mixedpermutation channels can be applied to give a lower bound of quantum coherence with respect to any coherence measure. In particular, the analytical lower bounds for l1-norm coherence and the relative entropy of coherence are shown respectively. The extension to bipartite systems is presented for the actions of the mixed-permutation channels.
format Preprint
id arxiv_https___arxiv_org_abs_2401_06302
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Mixed-permutation channel with its application to estimate quantum coherence
Zhang, Lin
Zhao, Ming-Jing
Quantum Physics
Quantum channel, as the information transmitter, is an indispensable tool in quantum information theory. In this paper, we study a class of special quantum channels named the mixed-permutation channels. The properties of these channels are characterized. The mixedpermutation channels can be applied to give a lower bound of quantum coherence with respect to any coherence measure. In particular, the analytical lower bounds for l1-norm coherence and the relative entropy of coherence are shown respectively. The extension to bipartite systems is presented for the actions of the mixed-permutation channels.
title Mixed-permutation channel with its application to estimate quantum coherence
topic Quantum Physics
url https://arxiv.org/abs/2401.06302