Random quantum evolution

  • Authors:

  • Ming-Xing Luo;Yun Deng;Song-Ya Ma;Xiu-Bo Chen;Zhi-Guo Qu

  • Affiliations:

  • State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing, China 100093 and Information Security Center, Southwest Jiaotong Universit ...;Institute of Computer Science, Sichuan University of Science Engineering, Zigong, China 64300;School of Mathematics and Information Sciences, Henan University, Kaifeng, China 475004;State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing, China 100093 and Information Security Center, Beijing University of Posts ...;Jiangsu Engineering Center of Network Monitoring, School of Computer and Software, Nanjing University of Information Science and Technology, Nanjing, China 210044

  • Venue:
  • Quantum Information Processing
  • Year:
  • 2013

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Abstract

The quantum no-cloning theorem and no-deleting theorem may be the most important quantum features for quantum communications or quantum computations. In this paper, we concentrate typical properties of random quantum evolution. We obtain that universal random evolutions change the generic unknown pure states into their orthogonal states approximately. Moreover, typical random evolutions distort the von Neumann entropy with constants. These results are extended to mixed states with a stronger orthogonal preparation ability. These typical characters are very important for quantum information retrieving or various quantum tasks.