Structures of Three Types of Local Quantum Channels Based on Quantum Correlations

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• 作者：Zhihua Guo (1) (2)
  Huaixin Cao (1)
  Shixian Qu (2)
  
  1. College of Mathematics and Information Science ; Shaanxi Normal University ; Xi鈥檃n ; 710062 ; China
  2. College of Physics and Information Technology ; Shaanxi Normal University ; Xi鈥檃n ; 710062 ; China
  
• 关键词：Structure ; Local quantum channel ; Classical correlation ; Quantum correlation
• 刊名：Foundations of Physics
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：45
• 期：4
• 页码：355-369
• 全文大小：198 KB
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• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Quantum Physics
  Relativity and Cosmology
  Biophysics and Biomedical Physics
  Mechanics
  Condensed Matter
  
• 出版者：Springer Netherlands
• ISSN：1572-9516

文摘

In a bipartite quantum system, quantum states are classified as classically correlated (CC) and quantum correlated (QC) states, the later are important resources of quantum information and computation protocols. Since correlations of quantum states may vary under a quantum channel, it is necessary to explore the influence of quantum channels on correlations of quantum states. In this paper, we discuss CC-preserving, QC-breaking and strongly CC-preserving local quantum channels of the form \(\Phi _1\otimes \Phi _2\) and obtain the structures of these three types of local quantum channels. Moreover, we obtain a necessary and sufficient condition for a quantum state to be transformed into a CC state by a specific local channel \(\Phi _1\otimes \Phi _2\) in terms of the structure of the input quantum state. Lastly, as applications of the obtained results, we present a classification of local quantum channels \(\Phi _1\otimes \Phi _2\) and describe the quantum states which are transformed as CC ones by the corresponding local quantum channel.