On impact of a priori classical knowledge of discriminated states on the optimal unambiguous discrimination

  • Authors:

  • Ming Zhang;Zong-Tan Zhou;Hong-Yi Dai;Dewen Hu

  • Affiliations:

  • College of Mechatronic Engineering and Automation, National University of Defense Technology, Changsha, People's Republic of China;College of Mechatronic Engineering and Automation, National University of Defense Technology, Changsha, People's Republic of China;College of Science, National University of Defense Technology Changsha, People's Republic of China;College of Mechatronic Engineering and Automation, National University of Defense Technology Changsha, People's Republic of China

  • Venue:
  • Quantum Information & Computation
  • Year:
  • 2008

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Abstract

Due to the fundamental limitations related to the Heisenberg uncertainty principle and the non-cloning theorem, it is impossible, even in principle, to determine the quantum state of a single system without a priori knowledge of it. To discriminate nonorthogonal quantum states in some optimal way, a priori knowledge of the discriminated states has to be relied upon. In this paper, we thoroughly investigate some impact of a priori classical knowledge of two quantum states on the optimal unambiguous discrimination. It is exemplified that a priori classical knowledge of the discriminated states, incomplete or complete, can be utilized to improve the optimal success probabilities, whereas the lack of a prior classical knowledge can not be compensated even by more resources.