arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1607.01591quant-ph
收藏

Tsallis相对$α$的有序态-相干熵

Ordering states of Tsallis relative $α$-entropies of coherence

Fu-Gang Zhang, Lian-He Shao, Yu Luo, Yongming Li

阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

本文研究了具有Tsallis相对$α$相干熵和$l_{1}$相干范数的单比特有序态。我们证明了任何Tsallis相对相干的$α$熵和相干的$l_{1}$范数对单比特纯态给出相同的序.然而，对于某些高维纯态，它们并不产生相同的有序，即使这些态是纯的。我们还考虑了三种特殊的Tsallis相对$α$相干熵，如$C_{1}$，$C_{2}$和$C_{\frac{1}{2}}$，并证明了这三种测度中的任何一种和$C_{l_{1}}$对于单比特混合态都不会产生相同的有序.此外，我们发现，这三个特殊措施中的任何两个产生不同的单量子比特混合态的顺序。

英文摘要：

In this paper, we study the ordering states with Tsallis relative $α$-entropies of coherence and $l_{1}$ norm of coherence for single-qubit states. We show that any Tsallis relative $α$-entropies of coherence and $l_{1}$ norm of coherence give the same ordering for single-qubit pure states. However, they don't generate the same ordering for some high dimensional pure states, even though these states are pure. We also consider three special Tsallis relative $α$-entropies of coherence, such as $C_{1}$ ,$C_{2}$ and $C_{\frac{1}{2}}$, and show any one of these three measures and $C_{l_{1}}$ will not generate the same ordering for single-qubit mixed states. Furthermore, we find that any two of these three special measures generate different ordering for single-qubit mixed states.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

↑