一类k-体分划下基于量子熵的量子关联测度

A Quantum Correlation Measure Based on Quantum Entropy Under k-partition

在量子信息理论中,蕴含在量子态中的量子关联是一种非常重要的物理资源,利用量子一致(q,s)熵,给出了一类k-体分划下基于量子一致(q,s)熵的量子关联测度的定义,证明了其满足量子关联测度的一些必要性质,包括:非负性,酉不变性,系统添加局部非相干辅助子系统时测度保持不变。Tsallis熵作为量子一致(q,s)熵的特例,给出了一个k-体分划下基于Tsallis熵的量子关联测度。

In quantum information theory,quantum correlations contained in quantum states are very important physical resources.In this paper,by using the quantum consistent(q,s)-entropy,we give the definition of quantum correlation measure under k-partition division based on the quantum consistent(q,s)-entropy,and prove that it satisfies some necessary properties of quantum correlation measures,including:the nonnegativity,the invariance under local unitary operators,and the invariance when an uncorrelated ancilla is appended to the system.Since Tsallis entropy is a special case of quantum consistent(q,s)-entropy,a quantum correlation measure based on Tsallis entropy under k-partition division is proposed.