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arXiv 2104.06349cs.PLquant-ph
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Gleipnir:量子程序的实用错误分析(扩展版)

Gleipnir: Toward Practical Error Analysis for Quantum Programs (Extended Version)

Runzhou Tao, Yunong Shi, Jianan Yao, John Hui, Frederic T. Chong, Ronghui Gu

摘要:

实用的误差分析是设计,优化和评估的噪声中间尺度量子(NISQ)计算的必要条件。然而,量子程序中的边界错误是一个巨大的挑战,因为量子错误的影响取决于指数级大的量子态。在这项工作中,我们提出了Gleipnir,一种新的方法对实际计算验证的误差范围在量子程序。Gleipnir引入了$(\hatρ,δ)$ -diamond范数,这是一个由近似状态$\hatρ$及其到理想状态$ρ$的距离$δ$组成的量子谓词约束的误差度量。该谓词$(\hatρ,δ)$可以使用基于矩阵乘积状态的张量网络自适应地计算。Gleipnir提供了一个轻量级逻辑,用于基于$(\hatρ,δ)$ -diamond范数度量来推理噪声量子程序中的误差界。我们的实验结果表明,Gleipnir能够有效地为10到100个量子位的真实世界量子程序生成严格的错误边界,并可用于评估量子编译器转换的错误缓解性能。

英文摘要:

Practical error analysis is essential for the design, optimization, and evaluation of Noisy Intermediate-Scale Quantum(NISQ) computing. However, bounding errors in quantum programs is a grand challenge, because the effects of quantum errors depend on exponentially large quantum states. In this work, we present Gleipnir, a novel methodology toward practically computing verified error bounds in quantum programs. Gleipnir introduces the $(\hatρ,δ)$-diamond norm, an error metric constrained by a quantum predicate consisting of the approximate state $\hatρ$ and its distance $δ$ to the ideal state $ρ$. This predicate $(\hatρ,δ)$ can be computed adaptively using tensor networks based on the Matrix Product States. Gleipnir features a lightweight logic for reasoning about error bounds in noisy quantum programs, based on the $(\hatρ,δ)$-diamond norm metric. Our experimental results show that Gleipnir is able to efficiently generate tight error bounds for real-world quantum programs with 10 to 100 qubits, and can be used to evaluate the error mitigation performance of quantum compiler transformations.

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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