Probabilistic cloning and deleting of quantum states

Yuan Feng, Shengyu Zhang, and Mingsheng Ying
Phys. Rev. A 65, 042324 – Published 10 April 2002
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Abstract

We construct a probabilistic cloning and deleting machine which, taking several copies of an input quantum state, can output a linear superposition of multiple cloning and deleting states. Since the machine can perform cloning and deleting in a single unitary evolution, the probabilistic cloning and other cloning machines proposed in the previous literature can be thought of as special cases of our machine. A sufficient and necessary condition for successful cloning and deleting is presented, and it requires that the copies of an arbitrarily presumed number of the input states are linearly independent. This simply generalizes some results for cloning. We also derive an upper bound for the success probability of the cloning and deleting machine.

  • Received 17 August 2001

DOI:https://doi.org/10.1103/PhysRevA.65.042324

©2002 American Physical Society

Authors & Affiliations

Yuan Feng, Shengyu Zhang, and Mingsheng Ying*

  • State Key Laboratory of Intelligent Technology and Systems, Department of Computer Science and Technology, Tsinghua University, Beijing, China, 100084

  • *Corresponding author. Email address: yingmsh@tsinghua.edu.cn

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Vol. 65, Iss. 4 — April 2002

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