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Phys. Rev. A 65, 052311 (2002) [5 pages]

Probabilistic deletion of copies of linearly independent quantum states

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Jian Feng1,2,3,*, Yun-Feng Gao3, Ji-Suo Wang1,3, and Ming-Sheng Zhan1,†
1State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, People’s Republic of China
2Laser Spectroscopy Laboratory, Anhui Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Hefei 230031, People’s Republic of China
3Institute of Optical Communication, Liaocheng Teachers University, Liaocheng, 252059, Shandong, People’s Republic of China

Received 10 September 2001; revised 1 February 2002; published 25 April 2002

We show that each of two copies of the nonorthogonal states randomly selected from a certain set S can be probabilistically deleted by a general unitary-reduction operation if and only if the states are linearly independent. We derive a tight bound on the best possible deleting efficiencies. These results for 2⃗1 probabilistic deleting are also generalized into the case of N⃗M deleting (N,M positive integers and N>M).

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.65.052311
DOI:
10.1103/PhysRevA.65.052311
PACS:
03.67.-a, 03.65.Ca, 89.70.+c

*Corresponding author. Email address: fjlc@371.net, fjlcsdc@sina.com

†Mailing address.

 
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