Convex roof measures of coherence
Yi Peng, Heng Fan

TL;DR
This paper introduces a general method to construct convex roof measures of quantum coherence, which serve as upper bounds for all coherence measures based on pure state quantifications.
Contribution
It presents a novel, general construction framework for convex roof measures of coherence rooted in pure state coherence measures within resource theory.
Findings
Convex roof measures bound all pure state coherence measures from above.
The construction provides a unified approach to quantify coherence.
Applicable to various coherence measures within resource theory.
Abstract
We provide a general construction of convex roof measures of coherence. This construction is based on arbitrary coherence measures of pure states in the framework of resource theory of coherence. Convex roof measures of coherence bound from above all possible coherence measures, given specific valid quantifications of pure states.
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Taxonomy
TopicsQuantum Information and Cryptography · Photoreceptor and optogenetics research
