论文标题
与连贯性量化纠缠
Quantifying Entanglement with Coherence
论文作者
论文摘要
量化纠缠是一项正在进行的工作，对于量子信息和计算的主动领域很重要。这里提出了一种两分纯状态纠缠的度量，称为“纠缠连贯性”，这实际上是纠缠状态在其施密特的基础上的归一化连贯性。最大纠缠状态的价值为1，而对于可分离状态的价值为0，而不论希尔伯特空间的维度如何。因此，最大纠缠的状态也是其在施密特基础上最大相干的状态。因此，量子纠缠和量子相干是密切相关的。事实证明，纠缠连贯性与一个子系统的降低状态的统一熵密切相关。此外，还表明，纠缠连贯性与一个子系统的减少密度运算符的Wigner-Yanase偏斜信息密切相关，以一种有趣的方式。
Quantifying entanglement is a work in progress which is important for the active field of quantum information and computation. A measure of bipartite pure state entanglement is proposed here, named entanglement coherence, which is essentially the normalized coherence of the entangled state in its Schmidt basis. Its value is 1 for maximally entangled states, and 0 for separable states, irrespective of the dimensionality of the Hilbert space. So a maximally entangled state is also the one which is maximally coherent in its Schmidt basis. Quantum entanglement and quantum coherence are thus intimately connected. Entanglement coherence turns out to be closely related to the unified entropy of the reduced state of one of the subsystems. Additionally it is shown that the entanglement coherence is closely connected to the Wigner-Yanase skew information of the reduced density operator of one of the subsystems, in an interesting way.
