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量子态控制中的矩阵的分解
  • ISSN号：1007-5461
  • 期刊名称：《量子电子学报》
  • 时间：0
  • 分类：O413[理学—理论物理;理学—物理]
  • 作者机构：[1]徐州师范大学物理与电子工程学院,江苏徐州221116
  • 相关基金：国家自然科学基金（60433050）和徐州师范大学自然科学基金重点项目（06XLA05）
作者： 狄尧民[1], 张洁[1], 魏海瑞[1]
关键词： 量子信息, Caftan分解, cosine-sine分解, 2-qutrit门, quantum information, Cartan decomposition, cosine-sine decomposition, 2-qutrit gate
中文摘要：

综述了量子态的控制和矩阵分解之间的关系。着重介绍了近年采用的新的分解技术：基于群论的Cartan分解和基于数值线性代数的cosine—sine分解。介绍了用这些矩阵分解技术在量子信息科学特别是量子线路研究方面所取得的成果。这些研究成果对量子纠缠动力学、量子态的控制、量子网络的优化起到了很大的作用。最后具体地对2-qutrit门的Cartan分解作了讨论，并将它们写成指数形式。

英文摘要：

The relationship between quantum state control and matrix decomposition is reviewed. The matrix decomposition newly applied in quantum information science, i.e. Cartan decomposition based on group theory and cosine-sine decomposition based on numerical linear algebra, is introduced firstly. Then the current research situation and the results in this area are reviewed. These results play important roles in quantum entanglement dynamics, the control of quantum states and optimization of quantum circuit Finally, the Cartan decomposition of a 2-qutrit logic gate is given .

同期刊论文项目
量子计算算法编码与过程控制研究
期刊论文 181 会议论文 11 著作 1
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期刊信息
  • 《量子电子学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国光学学会基础光学专业委员会 中国科学院安徽光学精密机械研究所
  • 主编：龚知本
  • 地址：合肥1125号信箱
  • 邮编：230031
  • 邮箱：lk@aiofm.ac.cn
  • 电话：0551-5591564
  • 国际标准刊号：ISSN：1007-5461
  • 国内统一刊号：ISSN：34-1163/TN
  • 邮发代号:26-89
  • 获奖情况:
  • 1997年获“中国光学期刊”二等奖,1994年评比华东地区优秀期刊三等奖,1998年评为安徽省优秀科技期刊二等奖
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,美国剑桥科学文摘,英国科学文摘数据库,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,英国英国皇家化学学会文摘,中国北大核心期刊（2000版）
  • 被引量:4844