Generalized duality quantum computers acting on mixed states

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• 作者：Liang Chen ; Huai-Xin Cao ; Hui-Xian Meng
• 关键词：Generalized duality quantum computer ; Generalized quantum operation ; Contraction
• 刊名：Quantum Information Processing
• 出版年：2015
• 出版时间：November 2015
• 年：2015
• 卷：14
• 期：11
• 页码：4351-4360
• 全文大小：444 KB
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• 作者单位：Liang Chen (1) (2)
  Huai-Xin Cao (1)
  Hui-Xian Meng (1)
  
  1. School of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710062, China
  2. Department of Mathematics, Changji College, Changji, 831100, China
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Mathematics
  Engineering, general
  Computer Science, general
  Characterization and Evaluation Materials
  
• 出版者：Springer Netherlands
• ISSN：1573-1332

文摘

A generalized duality quantum computer acting on mixed states (GDQC-MS) is established, which is a device consisting of a generalized quantum wave divider, a finite number of generalized quantum operations, and a generalized quantum wave combiner. Some of the interesting properties of a GDQC are explored. For example, it is proved that the divider and the combiner of a GDQC-MS are mutually dual contractions, and when the generalized quantum operations used in a GDQC-MS are contractions, the GDQC-MS is also a contraction. In that case, the loss of an input state passing through a GDQC-MS is measured and the corresponding operator of a GDQC-MS is a generalized quantum operation.