量子态排列不变部分的研究

项目名称： 量子态排列不变部分的研究

项目编号： No.11475054

项目类型： 面上项目

立项/批准年度： 2015

项目学科： 数理科学和化学

项目作者： 闫凤利

作者单位： 河北师范大学

项目金额： 80万元

中文摘要： 量子信息学是目前物理学研究的热点之一，有着深刻的基础研究意义和潜在的实际应用前景。量子纠缠现象是量子力学的重要特征，在量子信息处理中起着十分重要的作用。 排列不变量子态是一类十分重要的量子态，它在量子力学基础研究，量子保密通信等许多方面都有着重要应用。本项目研究排列不变量子态的性质，特别是讨论它的纠缠度量与可分性，讨论量子态的排列不变部分的纠缠性质与整体量子态纠缠之间的关系，以及如何设计实验将量子态的排列不变部分测量出来。进而拓展排列不变量子态在量子信息处理上的应用领域，为量子纠缠态的广泛实际应用提供理论依据。

中文关键词： 排列不变量子态；纠缠态；可分性

英文摘要： Quantum information is a rapidly developing field of reasearch spanning both physics and computer science, and includes investigations in quantum entanglement theory, quantum communication, and quantum computation. The generation, manipulation and fundamental understanding of entanglement lie at the very heart of quantum mechanics. Quantum information seeks to exploit quantum states as resources for information processing tasks, where the phenomenon of entanglement seems to play a central role. Permutationally invariant quantum states have been studied extensively in connection with the fundamental question of quantum mechanics, and have been already applied to teleportation and quantum cryptography, etc. We will study the properties of permutationally invariant quantum states, especially characterize the entanglement and separability of these states, investigate the relationship between the entanglement of a quantum state and the entanglement of the permutationally invariant part of the quantum state, and design the experiment to obtain the entanglement information of the permutationally invariant part of the state. Moreover, we will also discuss how to apply the properties of entanglement of permutationally invariant quantum state to quantum information processing.

英文关键词： permutationally invariant quantum state;entangled state;separability