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噪声中继信道上的量子隐形传态

Quantum Teleportation Over a Noisy Relay Channel

Yigal Ilin, Uzi Pereg

arXiv 2609.23459首次发表:更新:

发表机构

Classiq Quantum Computing; Technion(Classiq量子计算; 以色列理工学院)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

针对噪声中继信道,提出两个量子中继信道模型,采用压缩转发编码方案利用中继观测的泡利错误边信息,并通过匹配逆界证明其容量最优。

AI 中文摘要

在噪声中继环境中考虑了量子隐形传态和贝尔测量。我们引入了两个具有闭式容量公式的量子中继信道模型,其动机来自量子隐形传态和超密编码这两个典型的量子通信协议。在这两个模型中,发送方传输一个量子比特,而中继观测关于信道中发生的泡利错误的边信息,并通过正交速率受限链路与接收方通信。我们开发了一种压缩转发编码方案,其中中继将泡利错误序列压缩到分箱中,并将分箱索引发送给接收方。接收方利用这些部分错误信息在量子解码前降低有效信道噪声。我们通过为两个模型建立匹配的逆界证明了该策略的最优性。

英文摘要

Quantum teleportation and Bell measurements are considered in a noisy relay setting. We introduce two quantum relay-channel models with closed-form capacity formulas, motivated by the canonical quantum communication protocols of teleportation and superdense coding. In both models, the sender transmits a qubit, while the relay observes side information about the Pauli errors that occur in the channel and communicates with the receiver through an orthogonal rate-limited link. We develop a compress-forward coding scheme in which the relay compresses the Pauli-error sequence into bins and sends the bin index to the receiver. The receiver uses this partial error information to reduce the effective channel noise before quantum decoding. We show that this strategy is optimal by establishing matching converse bounds for both models.

论文原文

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