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arXiv 2102.05396quant-ph
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噪声量子隐形传态中的平均保真度和保真度偏差

Average fidelity and fidelity deviation in noisy quantum teleportation

WooYeong Song, Junghee Ryu, Kyunghyun Baek, Jeongho Bang

摘要:

分析了噪声信道下量子隐形传态的平均保真度(F)和保真度偏差(D)。在这里,F表示平均而言,隐形传态的执行情况有多好,D量化了隐形传态是否在给定的输入上公平地执行,即普适性的条件。我们的分析结果证明,可实现的最大平均保真度确保零保真度偏差,即完美的普适性。隐形传态的这种结构特征与其他有限保真度概率量子操作(例如,泛非或量子克隆)的结构特征不同。基于量子比特情况下F和D之间更紧密的关系,再次确认了该特征。然后,我们考虑另一个现实的噪声模型,其中F减小,D增加,由于不完善的控制。为了减轻这种恶化,我们提出了一种基于机器学习的算法。我们通过数值模拟证明了所提出的算法可以稳定系统。值得注意的是,恢复过程仅由F的最大化组成,这减少了控制时间,从而导致更快的固化周期。

英文摘要:

We analyze the average fidelity (say, F) and the fidelity deviation (say, D) in noisy-channel quantum teleportation. Here, F represents how well teleportation is performed on average and D quantifies whether the teleportation is performed impartially on the given inputs, that is, the condition of universality. Our analysis results prove that the achievable maximum average fidelity ensures zero fidelity deviation, that is, perfect universality. This structural trait of teleportation is distinct from those of other limited-fidelity probabilistic quantum operations, for instance, universal-NOT or quantum cloning. This feature is confirmed again based on a tighter relationship between F and D in the qubit case. We then consider another realistic noise model where F decreases and D increases due to imperfect control. To alleviate such deterioration, we propose a machine-learning-based algorithm. We demonstrate by means of numerical simulations that the proposed algorithm can stabilize the system. Notably, the recovery process consists solely of the maximization of F, which reduces the control time, thus leading to a faster cure cycle.

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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