用Tsallis相对$α$熵修正相干测度的强单调性
Remedying the strong monotonicity of the coherence measure in terms of the Tsallis relative $α$ entropy
摘要：
相干是非经典系统最基本的量子特性。对资源理论中连贯性的理解引起了人们越来越多的兴趣，其中连贯性的量化是一个重要的组成部分。一个令人满意的措施应该符合某些标准。看来最关键的准则应该是强单调性，即在（次选择）非相干操作下平均相干度不增加。最近，Tsallis相对$α$熵[A. E. Rastegin，Phys. Rev. A \textbf{93}，032136（2016）]已尝试量化相干性。但它违背了强单调性，即使它可以明确区分相干态和非相干态的单调性。在这里，我们建立了一个家庭的相干量词是密切相关的Tsallis相对$α$熵。证明了这类量词满足所有的标准标准，特别是涵盖了几种典型的连贯测度。
英文摘要：
Coherence is the most fundamental quantum feature of the nonclassical systems. The understanding of coherence within the resource theory has been attracting increasing interest among which the quantification of coherence is an essential ingredient. A satisfactory measure should meet certain standard criteria. It seems that the most crucial criterion should be the strong monotonicity, that is, average coherence doesn't increase under the (sub-selective) incoherent operations. Recently, the Tsallis relative $α$ entropy [A. E. Rastegin, Phys. Rev. A \textbf{93}, 032136 (2016)] has been tried to quantify the coherence. But it was shown to violate the strong monotonicity, even though it can unambiguously distinguish the coherent and the incoherent states with the monotonicity. Here we establish a family of coherence quantifiers which are closely related to the Tsallis relative $α$ entropy. It proves that this family of quantifiers satisfy all the standard criteria and particularly cover several typical coherence measures.
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