纠缠熵

在本文中，对于一个具有周期性量子多体自旋系统的有限链，用以MPS为基础的张量网络算法有效地计算单位格点的几何纠缠和冯诺依曼熵。

In this thesis , we have developed a scheme to efficiently compute the GE per lattice site and von Neumann Entropy for quantum many body spin systems on a periodic finite-size chain in the context of a tensor network algorithm based on the matrix product state representations .

纠缠的冯纽曼熵测量被用于研究球分数霍尔效应。

The von Neumann entropy measure of entanglement is used to study the fractional quantum Hall effect on the sphere .

研究结果表明，双原子纠缠度影响场熵的平均值，而初始光场的强度则影响场熵演化的振荡特性。

The results show that the entanglement of atoms affects the mean-value of field entropy and the intensity of field affects the oscillation properties of field entropy evolution .

研究量子纠缠的一些度量方式如部分熵纠缠度、形成纠缠度、相对熵纠缠度，计算出一些特殊纠缠态的纠缠度。

We not only investigate some QE measures such as partial entropy entanglement , entanglement of formation and relative entropy entanglement but also work out the entanglement of some particular entangled states .

自旋体系纠缠增长中的量子经典对应：纠缠和经典频率熵

Quantum-Classical Correspondence in Entanglement Production of the Spin System : Entanglement and Classical Frequency Entropy

Jaynes-Cummings模型是产生量子纠缠态的重要体系，研究发现，原子与场纠缠态的信息熵和纠缠度随时间摘要做周期性的振荡，量子态在非纠缠态与纠缠态之间变化。

Jaynes-Cummings Model is an important system to produce quantum-entangled state . We find that information entropy and the amount of entanglement oscillate with time-evolution periodically . The quantum state changes between disentangled state and entangled state .

详细阐述了两体纠缠度量须满足的基本条件，以及五种基本纠缠度量：vonNeumann熵、结构纠缠、提取纠缠、相对熵纠缠和纠缠单调，给出了一类态相对熵纠缠的解析计算公式。

The main content of this dissertation is as follows : This dissertation introduces in details the basic conditions that bipartite entanglement measure should satisfy and the five entanglement measure , von Neumann entropy , formation of entanglement , distillation of entanglement , relative entropy of entanglement and entanglement monotone .