Probabilistic cloning and identification of linearly independent quantum states

Probabilistic cloning and identification of linearly independent quantum states
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DOI:
10.1103/physrevlett.80.4999
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发表时间:
1998-06-01
影响因子:
8.6
通讯作者:
Guo, GC
Guo, GC
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Duan, LM;Guo, GC

文献摘要

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通过一般的么正约化操作构造了一个概率量子克隆机。通过测量结果的后选择,机器产生输入状态的忠实副本。证明了从某个集合S = {\Psi(1)],\Psi(2)],.,\ Psi(n)]}可以被概率克隆当且仅当\Psi(1)],\Psi(2)],...,和[Psi(n)]是线性无关的。我们获得最佳的克隆效率。概率克隆与一组状态的识别问题有着密切的联系,这是一种对n个线性独立状态的n + 1种结果测量。这种类型的测量的最佳效率得到。
We construct a probabilistic quantum cloning machine by a general unitary-reduction operation. With a postselection of the measurement results, the machine yields faithful copies of the input states. It is shown that the states secretly chosen from a certain set S = {\Psi(1)], \Psi(2)],...,\Psi(n)]} can be probabilistically cloned if and only if \Psi(1)], \Psi(2)],..., and [Psi(n)] are linearly independent. We derive the best possible cloning efficiencies. Probabilistic cloning has a close connection with the problem of identification of a set of states, which is a type of n + 1 outcome measurement on n linearly independent states. The optimal efficiencies for this type of measurement are obtained.