量子关联度量的研究以及应用

The quantum correlations play important roles in quantum information and quantum computation. They are the key resources in quantum information processing, such as quantum cryptography, quantum error correction, quantum teleportation. From the view of separability, quantum states can be divided into separable states and entangled states. Further investigation shows that there exists nonclassical correlation even in separable states. We investigate some important problems in the theory of quantum correlations: the measures of quantum entanglement, the lower and upper bounds of quantum entanglement, the relations among different quantum entanglement measures, the monogamy relation of quantum entanglement; The measures and estimation of the nonclassical quantum correlations, the monogamy relation among nonclassical quantum correlations; The relations between quantum entanglement and nonclassical quantum correlations; The purification of quantum states and quantum channels will be discussed as well.

量子关联在量子计算与量子信息等方面起到重要的作用，是一些量子信息处理过程，如量子保密通信、量子错误纠正、量子隐形传态等的关键资源。量子态可分为量子可分态与量子纠缠态，随着对量子关联的深入研究，发现量子可分态中也可以含有非经典的量子关联。项目研究量子关联的一些重要理论问题：纠缠度量解析式，量子纠缠上下界，不同量子纠缠度量之间的关系，量子纠缠的 monogmay 关系；从量子态的非经典关联着手，研究刻画量子非经典关联的度量和估算，研究量子态各系统间非经典量子关联的 monogmay 关系；探讨量子纠缠和量子非经典关联之间的联系，将量子纠缠和量子非经典关联统一比较研究；讨论量子态的可提纯判据以及量子态通道。

量子关联在量子计算与量子信息等方面起到重要的作用，是一些量子信息处理过程，如量子保密通信、量子错误纠正、量子隐形传态等的关键资源。量子态可分为量子可分态与量子纠缠态；量子态也可以划分为经典态与非经典态；还可以划分为退相干态与相干态。本项目研究量子关联的一些重要理论问题：量子失协解析式，量子纠缠上下界，量子纠缠的 monogmay 关系；有效定义新的量子相干度量。