Phys. Rev. A 75, 062306 (2007) [6 pages]

Discrimination between pure states and mixed states

Abstract

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Chi Zhang^*, Guoming Wang^†, and Mingsheng Ying^‡
State Key Laboratory of Intelligent Technology and Systems, Department of Computer Science and Technology, Tsinghua University, Beijing 100084, China

Received 10 February 2007; published 6 June 2007

In this paper, we discuss the problem of determining whether a quantum system is in a pure state, or in a mixed state. We apply two strategies to settle this problem: the unambiguous discrimination and the maximum confidence discrimination. We prove that the optimal versions of both strategies are equivalent. Furthermore, the scheme also provides a method to estimate the purity of quantum states, and the Schmidt number of composed systems.

URL:

http://link.aps.org/doi/10.1103/PhysRevA.75.062306

DOI:

10.1103/PhysRevA.75.062306

PACS:

03.67.Mn, 03.67.Lx

^*Electronic address: zangcy00@mails.tsinghua.edu.cn

^†Electronic address: wgm00@mails.tsinghua.edu.cn

^‡Electronic address: yingmsh@tsinghua.edu.cn

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Phys. Rev. A 75, 062306 (2007) [6 pages]

Discrimination between pure states and mixed states