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arXiv 1808.03094quant-ph
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基于弱测量的两量子比特态振幅阻尼恢复

Two-qubit state recovery from amplitude damping based on weak measurement

Sajede Harraz, Shuang Cong, Kezhi Li

AI总结:

提出基于弱测量的前馈控制方法,在两量子比特系统中保护任意纯态或混合态免受振幅阻尼影响,通过前后操作与测量实现状态恢复,并推导出最优保真度与成功概率的完全恢复条件。

摘要:

在量子控制过程中,任意纯态或混合初态需要通过测量和量子控制来保护其免受噪声信道的振幅阻尼影响。然而,如何在两量子比特系统上实现这一点仍是一个挑战。本文提出一种前馈控制方法,利用弱测量保护任意两量子比特纯态或混合初态。在噪声信道前施加前馈操作和测量,随后施加反向操作和测量以将状态恢复至初态。对于两量子比特纯态,我们使用unravelling trick描述控制过程每一步的系统状态。对于混合态,实现了完全正保迹(CPTP)映射。最后,使用保真度和成功概率评估保护效果。推导了测量强度的完全恢复条件,在此条件下实现了恢复初态的最优保真度和成功概率。

英文摘要:

In the quantum control process, arbitrary pure or mixed initial states need to be protected from amplitude damping through the noise channel using measurements and quantum control. However, how to achieve it on a two-qubit quantum system remains a challenge. In this paper, we propose a feed-forward control approach to protect arbitrary two-qubit pure or mixed initial states using the weak measurement. A feed-forward operation and measurements are used before the noise channel, and afterwards a reversed operation and measurements are applied to recover the state back to its initial state. In the case of two-qubit pure states, we use the unravelling trick to describe the state of the system in each step of the control procedure. For two-qubit mixed states, a completely-positive trace-preserving (CPTP) map is implemented. Finally, the fidelity and success probability are used to evaluate the effect of protection. The complete recovery conditions for the measurement strengths are derived, under which we achieve the optimal fidelity and the success probability of recovering the initial pure or mixed 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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