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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
66/2018

Coherence generating power of unitary transformations via probabilistic average

Lin Zhang, Zhi-Hao Ma, Zhi-Hua Chen and Shao-Ming Fei

Abstract

We study the ability of a quantum channel to generate quantum coherence when it applies to incoherent states. Based on probabilistic averages, we define a measure of such coherence generating power (CGP) for a generic quantum channel, based on the average coherence generated by the quantum channel acting on a uniform ensemble of incoherent states. Explicit analytical formula of the CGP for any unitary channels are presented in terms of subentropy. An upper bound for CGP of unital quantum channels has been also derived. Detailed examples are investigated.

Received:
Aug 20, 2018
Published:
Aug 28, 2018

Related publications

inJournal
2018 Repository Open Access
Lin Zhang, Zhi-Hao Ma, Zhi-Hua Chen and Shao-Ming Fei

Coherence generating power of unitary transformations via probabilistic average

In: Quantum information processing, 17 (2018) 7, p. 186