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arXiv 2309.06005quant-ph
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带噪声与时间优化的量子电路分布式调度

Distributed Scheduling of Quantum Circuits with Noise and Time Optimization

Debasmita Bhoumik, Ritajit Majumdar, Amit Saha, Susmita Sur-Kolay

AI总结:

本文针对噪声量子计算环境,提出基于ILP的分布式子电路调度方法以最大化保真度并满足时间约束,并给出多项式时间图论调度方案,在有限硬件条件下显著提升量子电路性能。

摘要:

量子计算机目前具有较大噪声,尤其是在没有纠错和容错机制的情况下。错误抑制和错误缓解等方法被广泛用于提升性能。电路切割将电路划分为较小的子电路,也可以降低噪声。本文提出了一种基于整数线性规划(ILP)的调度器,用于在可用硬件上优化子电路调度。其目标是在确保每个硬件不超过其预定义执行时间的同时,最大化整体保真度。对于10量子比特电路,我们的方法在有无测量错误缓解的情况下,分别实现了约12.3%和约21%的平均保真度提升,即使执行时间最短。此外,我们提出了一种多项式时间的图论调度方法,当子电路数量不超过硬件单元数量且每个硬件单元具有最短执行时间时,该方法能够达到与ILP调度器相同的结果。这种噪声和时间优化的调度器是迈向最优量子计算性能的关键一步,尤其是在硬件访问受限的情况下。

英文摘要:

Quantum computers are currently noisy, particularly without error correction and fault tolerance. Methods like error suppression and mitigation are widely used to improve performance. Circuit cutting, which partitions a circuit into smaller subcircuits, can also reduce noise. In this paper, we propose an Integer Linear Program (ILP) based scheduler for optimizing subcircuit schedules on available hardware. The goal is to maximize overall fidelity and ensure each hardware does not exceed its predefined execution time. For 10-qubit circuits, our method achieves an average fidelity improvement of ~12.3% and ~21% with and without measurement error mitigation, respectively, even with minimal execution time. Additionally, we introduce a polynomial-time graph-theoretic scheduling method that matches the ILP scheduler's results when the number of subcircuits does not exceed the number of hardware units, each with minimal execution time. This noise and time-optimized scheduler represents a crucial step towards optimal quantum computing performance, especially with limited hardware access.

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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