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arXiv 2501.04526quant-ph
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维持多体量子态纠缠的非马尔可夫噪声极限

Non-Markovian noise limits for sustaining entanglement in multiparty quantum states

Suchetana Goswami, Ujjwal Sen

AI总结:

本文研究非马尔可夫环境噪声对多体纠缠的影响,证明退相位信道中 GHZ cat 态与 W 态的纠缠可饱和至非零值,并揭示 W 态的奇偶效应及退极化信道中的纠缠复苏。

摘要:

纠缠是若干量子信息处理任务中的主要资源。在构建此类任务的实际可用版本时,人们通常需要考虑多体系统。而在这些情形中,分配资源时不可能消除环境的影响。我们展示了由系统动力学中的非马尔可夫性导致的、来自环境的信息回流如何影响多体系统中的资源,特别是多方纠缠。具体而言,我们发现,在非马尔可夫退相位噪声下,多量子比特 Greenberger-Horne-Zeilinger cat 态的纠缠随时间饱和至一个非零值。多量子比特 W 态则饱和至更高的值。如果信道中的非马尔可夫性被移除,这种非零的时间饱和值就会消失。多量子比特 W 态提供了更丰富的一组特征,包括在量子比特数趋于渐近时仍具有非零值,以及纠缠随量子比特数变化的奇偶二分性。转向非马尔可夫退极化信道时,我们发现 cat 态和 W 态都表现出纠缠在坍缩后的复苏。

英文摘要:

The principal resource in several quantum information processing tasks is entanglement. Building practically useful versions of such tasks, one often needs to consider multipartite systems. And in such scenarios, it is impossible to eliminate the effects of environment while distributing the resources. We show how information back-flow from the environment, as a result of non-Markovianity in the system dynamics, affects the resources in multipartite systems, specifically multiparty entanglement. In particular, we find that entanglement of multi-qubit Greenberger-Horne-Zeilinger cat states saturate with time to a non-zero value for a non-Markovian dephasing noise. The multi-qubit W states saturate to a higher value. Such non-zero time-saturated values are washed out if the non-Markovianity in the channel is removed. The multi-qubit W states provide a richer set of features, including a non-zero value for an asymptotic number of qubits and an even-odd dichotomy in entanglement with number of qubits. Moving over to a non-Markovian depolarising channel, we find that both cat and W states exhibit revival of entanglement after collapse.

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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