corner
corner

Phys. Rev. A 65, 044306 (2002) [3 pages]

Mathematical nature of and a family of lower bounds for the success probability of unambiguous discrimination

Download: PDF (50 kB) Buy this article Export: BibTeX or EndNote (RIS)

Xiaoming Sun*, Shengyu Zhang, Yuan Feng, and Mingsheng Ying
State Key Laboratory of Intelligent Technology and Systems, Department of Computer Science and Technology, Tsinghua University, Beijing, China 100084

Received 8 November 2001; published 10 April 2002

Unambiguous discrimination is a strategy to the discrimination problem that identifies the state with certainty, leaving a possibility of undecidability. This paper points out that the optimal success probability of unambiguous discrimination is mathematically the well-known semidefinite programming problem. A family of lower bounds of the optimal success probability is also given.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.65.044306
DOI:
10.1103/PhysRevA.65.044306
PACS:
03.67.-a, 03.65.Ta

*Email address: sun_x_m@hotmail.com

Email address: yingmsh@tsinghua.edu.cn