非k积态基于Sandwiched Renyi相对熵的关联测度

The Correlation Measure of non-k-product States Based on Sandwiched Renyi Relative Entropy

在量子信息理论中,Sandwiched Renyi相对熵具有极其重要的应用价值。该研究给出多体复合系统非k积态基于Sandwiched Renyi相对熵的关联测度,同时证明了其满足量子关联度的一些必要性质,包括非负性,酉不变性,在完全正的保迹线性映射下的单调性,联合凸性以及在非相干辅助子系统影响下的不变性。

In quantum information theory,Sandwiched Renyi relative entropy has very important application value.This paper gives a correlation measure of the non-k-product states of multipartite composite quantum systems based on Sandwiched Renyi relative entropy,and prove some necessary properties,which satisfies the quantum correlation measure,including nonnegativity,unitary invariance,monotonicity under the linear mapping of a completely positive and trace preserving,joint convexity and invariance under the influence of incoherent auxiliary subsystems.