量子关联与量子测量理论研究

量子纠缠作为一种特殊的量子关联现象它在量子力学基础的讨论、量子计算和量子通信等领域起着重要的作用，它是一些量子信息处理的必需资源，如隐形传态、密集码、保密通信、纠正错误信号、纯化、量子态的远程制备等。非纠缠的量子关联则比纠缠在抵御噪声方面具有更好的性质,更适合用来做量子计算。项目研究量子关联的一些重要理论问题：量子纠缠的度量及下界估计、量子关联的度量及估算，尝试给出两种度量之间的普遍成立的大小关系；量子Markov态的微扰、量子平衡态的微扰。探讨量子关联和量子态的扰动在量子计算和量子信息处理、量子态区分等有关方面的应用。

Quantum entanglement as a special kind of quantum correlations plays very important roles in discussing the foundation of quantum mechanics,quantum computation and quantum communication. Entanglement are the key resuoces in quantum information processing tasks such as quantum teleportation,dense coding, cryptography, error correction, purification and remote preparation. Compared with entanglement, quantum correlations without entanglement have a better property against noises, and suitable for quantum computation. We research some important problems in the theory of quantum correlations: the measures and lower bound estimation of quantum entanglement and quantum correlations; a univeral relationship between entanglement and quantum correlations; perturbation of quantum Markov states and equilibrium states. As applications, we also investigate the roles played by the quantum correlations in quantum computation and information processing, state discrimination, etc.