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arXiv 0802.3896quant-ph
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量子比特状态对的最优跟踪

Optimal tracking for pairs of qubit states

Paulo E. M. F. Mendonca, Alexei Gilchrist, Andrew C. Doherty

摘要:

在经典控制理论中,跟踪是指对经典系统执行测量和反馈的能力,以便执行某些期望的动态。在本文中,我们研究了量子跟踪的一个简单版本,即,当系统可以以两种不同的方式准备时,我们研究如何将单个量子比特的状态最佳地转换为给定的目标状态,并且目标状态取决于准备的选择。我们提出了一个跟踪策略,被证明是最佳的任何输入和目标状态。在状态歧视,状态净化,状态稳定和状态依赖的量子克隆的背景下,现有的最优性结果恢复和扩展的应用。

英文摘要:

In classical control theory, tracking refers to the ability to perform measurements and feedback on a classical system in order to enforce some desired dynamics. In this paper we investigate a simple version of quantum tracking, namely, we look at how to optimally transform the state of a single qubit into a given target state, when the system can be prepared in two different ways, and the target state depends on the choice of preparation. We propose a tracking strategy that is proved to be optimal for any input and target states. Applications in the context of state discrimination, state purification, state stabilization and state-dependent quantum cloning are presented, where existing optimality results are recovered and extended.

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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