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/

Global: Zendy Tools annual

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

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

In this paper, we study the ordering states with Tsallis relative $$\\alpha $$¿-entropies of coherence and $$l_{1}$$l1 norm of coherence for single-qubit states. Firstly, we show that any Tsallis relative $$\\alpha $$¿-entropies of coherence and $$l_{1}$$l1 norm of coherence give the same ordering for single-qubit pure states. However, they do not generate the same ordering for some high-dimensional states, even though these states are pure. Secondly, we also consider three special Tsallis relative $$\\alpha $$¿-entropies of coherence for $$\\alpha =2, 1, \\frac{1}{2}$$¿=2,1,12 and show these three measures and $$l_{1}$$l1 norm of coherence will not generate the same ordering for some single-qubit mixed states. Nevertheless, they may generate the same ordering if we only consider a special subset of single-qubit mixed states. Furthermore, we find that any two of these three special measures generate different ordering for single-qubit mixed states. Finally, we discuss the degree of violation of between $$l_{1}$$l1 norm of coherence and Tsallis relative $$\\alpha $$¿-entropies of coherence. In a sense, this degree can measure the difference between these two coherence measures in ordering states.

Ordering states with Tsallis relative $$\alpha $$ α -entropies of coherence