Mixed-permutation channel with its application to estimate quantum coherence

• URL: http://arxiv.org/abs/2401.06302v1
• Date: Fri, 12 Jan 2024 00:12:12 GMT
• Title: Mixed-permutation channel with its application to estimate quantum coherence
• Authors: Lin Zhang, and Ming-Jing Zhao
• Abstract summary: We study a class of special quantum channels named the mixed-permutation channels. The analytical lower bounds for l1-norm coherence and the relative entropy of coherence are shown. The extension to bipartite systems is presented for the actions of the mixed-permutation channels.
• Score: 4.171080633895958
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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