English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

Coherence is the most fundamental quantum feature of the nonclassicalsystems. The understanding of coherence within the resource theory has beenattracting increasing interest among which the quantification of coherence isan essential ingredient. A satisfactory measure should meet certain standardcriteria. It seems that the most crucial criterion should be the strongmonotonicity, that is, average coherence doesn't increase under the(sub-selective) incoherent operations. Recently, the Tsallis relative $\alpha $entropy [A. E. Rastegin, Phys. Rev. A \textbf{93}, 032136 (2016)] has beentried to quantify the coherence. But it was shown to violate the strongmonotonicity, even though it can unambiguously distinguish the coherent and theincoherent states with the monotonicity. Here we establish a family ofcoherence quantifiers which are closely related to the Tsallis relative $\alpha$ entropy. It proves that this family of quantifiers satisfy all the standardcriteria and particularly cover several typical coherence measures.

Remedying the strong monotonicity of the coherence measure in terms of the Tsallis relative $\alpha$ entropy