论文标题

用量子自动编码器降级量子状态 - 理论和应用

Denoising quantum states with Quantum Autoencoders -- Theory and Applications

论文作者

Achache, Tom, Horesh, Lior, Smolin, John

论文摘要

我们实现量子自动编码器(QAE)作为能够纠正符合各种嘈杂量子通道的Greenberger-Horne-Zeilinger(GHz)状态的量子电路:位翼通道和更通用的量子去极化通道。 QAE显示出特别有趣的结果,因为它使得能够对嘈杂状态进行几乎完美的重建,但更令人惊讶的是,它可以作为创建无噪声GHz状态的生成模型。最后,我们详细介绍了QAE的有用应用:量子秘密共享(QSS)。我们分析噪声如何损坏QS,导致其失败,并展示QAE即使在存在噪声的情况下允许QSS协议如何成功。

We implement a Quantum Autoencoder (QAE) as a quantum circuit capable of correcting Greenberger-Horne-Zeilinger (GHZ) states subject to various noisy quantum channels : the bit-flip channel and the more general quantum depolarizing channel. The QAE shows particularly interesting results, as it enables to perform an almost perfect reconstruction of noisy states, but can also, more surprisingly, act as a generative model to create noise-free GHZ states. Finally, we detail a useful application of QAEs : Quantum Secret Sharing (QSS). We analyze how noise corrupts QSS, causing it to fail, and show how the QAE allows the QSS protocol to succeed even in the presence of noise.

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