自旋链中量子信息的完美传输与量子链中态的完美操控

J4 ›› 2011, Vol. 28 ›› Issue (5): 564-570.

自旋链中量子信息的完美传输与量子链中态的完美操控

陈新^1,2,施钧辉³,葛运健¹,双丰¹

1 中国科学院合肥智能机械研究所, 安徽合肥 230031;
2 中国科学技术大学自动化系, 安徽合肥 230026;
3 普林斯顿大学化学系, 新泽西州普林斯顿 08544 美国

收稿日期:2010-05-27 修回日期:2010-10-19 出版日期:2011-09-28 发布日期:2011-08-18
通讯作者: 双丰（1973-）湖南人，研究员，中国科学院百人计划，从事量子控制和量子传感器研究。 E-mail:fshuang@iim.ac.cn
作者简介:陈新（1981-）河南人，博士生，从事量子控制研究。
基金资助:
自然科学基金(61074052, 61072032), 中国科学院合肥物质研究院院长基金

Perfect information transfer in spin chains and perfect state control in quantum chains

CHEN Xin^1,2, SHI Jun-hui³, GE Yun-jian¹, SHUANG Feng¹

1 Institute of Intelligent Machines, Chinese Academy of Sciences, Hefei 230031, China；
2 Department of Automation, University of Science and Technology of China, Hefei 230026, China；
3 Department of Chemistry, Princeton University, Princeton, New Jersey, 08544, USA)

Received:2010-05-27 Revised:2010-10-19 Published:2011-09-28 Online:2011-08-18

摘要/Abstract

摘要：

在分析了相邻耦合自旋链后，提出了一种求解使量子信息在链中完美传输的耦合强度的方法，并用Groebner基分析的方法得到了耦合强度的所有解析解。该方法同样适用于求解脉冲激光驱动的多能级量子链系统量子态完美操控的控制参数问题。该结果可以用来分析自旋链量子信息的完美传输和多能级量子链态完美操控的解结构和寻找有优化性质的参数特解。

关键词: 量子控制, 量子信息传输, 布居转移, Groebner 分析

Abstract:

Based on analysis of neighbor-coupled spin chains, a method to get the parameters of the spin chains for perfect information transfer is given, and all analytical solutions are obtained by using Groebner basis analysis. The method is suitable to get the parameters of pulse-driven perfect state control in multilevel chains. The results can be used to analyze structures of the solutions or find particular parameters with optimal properties.

Key words: quantum control, quantum information transfer, population transfer, Groebner analysis

中图分类号:

O431.2

陈新施钧辉葛运健双丰. 自旋链中量子信息的完美传输与量子链中态的完美操控[J]. J4, 2011, 28(5): 564-570.

CHEN Xin, SHI Jun-hui, GE Yun-jian, SHUANG Feng . Perfect information transfer in spin chains and perfect state control in quantum chains[J]. J4, 2011, 28(5): 564-570.

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