低维体系中量子信息概念的临界行为研究

项目名称： 低维体系中量子信息概念的临界行为研究

项目编号： No.11204012

项目类型： 青年科学基金项目

立项/批准年度： 2013

项目学科： 物理学I

项目作者： 袁子刚

作者单位： 北京化工大学

项目金额： 25万元

中文摘要： 量子信息技术拥有巨大的应用潜力，但目前受困于与环境相互作用导致相干时间较短。而量子相变是多体理论中的重要课题，因此对量子信息概念的临界行为研究成为近年来的热点。低维体系，尤其是准一维体系，一方面无论是对其进行理论分析还是数值计算都较为简单，另一方面同样包含丰富的量子临界现象，是研究量子相变的理想模型。本项目拟从多个方面开展量子信息概念的临界行为研究，主要包括：量子信息概念的表示方法及其相互关系；激发态量子相变中量子信息概念的临界行为；温度对于量子信息概念临界行为的影响；含缺陷体系中量子信息概念的临界行为等。本项目有着重要的理论价值和潜在应用价值，将有助于推动量子信息理论和量子相变理论向前发展。

中文关键词： 低维体系；量子相变；量子信息；自旋链；退相干

英文摘要： Quantum information technology has enormous potential to revolutionize computer science, but currently restricted by the short coherent time caused by the interaction with the environment. Quantum phase transition is one of the most important issue in the many-body theory, and therefore the critical behaviors of quantum information concepts has been exclusively studied in recent years. Low-dimensional systems, especially the quasi-one-dimensional system, is convenient for the study of quantum phase trasnsiton. On the one hand, it is easy for theoretical analysis and numerical calculation; on the other hand, it also contains rich phenomena. In this project, we will study the critical behaviors of quantum information concepts in several respects including: the analytical expressions of quantum information concepts and the relations between them; critical behaviors of quantum information concepts in excited state quantum phase transition; the effects of finite-temperature on the critical behaviors of quantum information concepts; critical behaviors of quantum information concepts in the system with defects. This project is of great importance and will promote the development of quantum informantion theory and quantum phase transition theory.

英文关键词： low-dimensional systems;；quantum phase transition；quantum information；spin chain；decoherence