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arXiv quant-ph/0212143quant-ph
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量子比特任意态的对称化与纠缠

Symmetrization and Entanglement of Arbitrary States of Qubits

M. Asoudeh, V. Karimipour, L. Memarzadeh, A. T. Rezakhani

摘要:

给定两个任意纯态$ |ϕ>$和$ |ψ>$的量子比特或更高的水平的状态,我们提供的参数赞成的状态的形式$ \frac{1}{\sqrt{2}}(|ψ> |ϕ> + i |ϕ> |ψ>) $,而不是对称或反对称的状态,作为自然的候选人,从这些状态构造的最佳纠缠态。我们表明,这样的国家首先有一个高的平均值的并发,其次可以构造一个通用的幺正算子独立的输入状态。我们还表明,这些国家是唯一的,可以产生完美的保真度的任何量子操作设计的纠缠两个纯态的相对相位。本文提出了一种概率方法,用于在任意两个状态的组合中产生任意预定的相对相位。

英文摘要:

Given two arbitrary pure states $ |ϕ>$ and $ |ψ>$ of qubits or higher level states, we provide arguments in favor of states of the form $ \frac{1}{\sqrt{2}}(|ψ> |ϕ> + i |ϕ> |ψ>) $ instead of symmetric or anti-symmetric states, as natural candidates for optimally entangled states constructed from these states. We show that such states firstly have on the average a high value of concurrence, secondly can be constructed by a universal unitary operator independent of the input states. We also show that these states are the only ones which can be produced with perfect fidelity by any quantum operation designed for intertwining two pure states with a relative phase. A probabilistic method is proposed for producing any pre-determined relative phase into the combination of any two arbitrary states.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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