论文标题

量子错误缓解的抽样开销分析:未编码与编码系统

Sampling Overhead Analysis of Quantum Error Mitigation: Uncoded vs. Coded Systems

论文作者

Xiong, Yifeng, Chandra, Daryus, Ng, Soon Xin, Hanzo, Lajos

论文摘要

量子误差缓解(QEM)是一种保护杂交量子 - 经典计算免受脱谐度的有前途的技术,但它遭受了侵蚀计算速度的抽样开销。在这篇论文中,我们对QEM施加的采样开销进行了全面分析。特别是,我们表明Pauli错误在具有相同平均忠诚度相同的逼真的量子通道中产生了最低的采样开销。此外,我们表明,在所有类型的保利错误中,去极化错误会产生最低的抽样开销。此外,我们认为一种与量子通道编码合并QEM的方案,并分析与纯QEM相比的采样架空还原。尤其是,我们观察到量子电路中包含的临界数量有大量的大门,除此之外,它们的合并比纯QEM更可取。

Quantum error mitigation (QEM) is a promising technique of protecting hybrid quantum-classical computation from decoherence, but it suffers from sampling overhead which erodes the computational speed. In this treatise, we provide a comprehensive analysis of the sampling overhead imposed by QEM. In particular, we show that Pauli errors incur the lowest sampling overhead among a large class of realistic quantum channels having the same average fidelity. Furthermore, we show that depolarizing errors incur the lowest sampling overhead among all kinds of Pauli errors. Additionally, we conceive a scheme amalgamating QEM with quantum channel coding, and analyse its sampling overhead reduction compared to pure QEM. Especially, we observe that there exist a critical number of gates contained in quantum circuits, beyond which their amalgamation is preferable to pure QEM.

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