arXiv:2505.09371quant-phcs.AI2025-05NeurIPS被引 6

用张量网络加速量子电路搜索,显著降低复杂度与误差。

TensorRL-QAS: Reinforcement learning with tensor networks for improved quantum architecture search

论文配图:TensorRL-QAS: Reinforcement learning with tensor networks for improved quantum architecture search
图 1 · 摘自论文原文
  • 结合张量网络与强化学习,缩小量子电路搜索空间。
  • 12比特系统中减少10倍CNOT门数,训练效率提升98%。
  • 适用于噪声环境,可拓展至20比特,适合近期量子硬件。

变分量子算法有望在含噪声中等规模量子设备上解决实际问题,但其电路设计需兼顾目标问题求解与硬件限制。量子架构搜索(QAS)自动化电路设计过程,强化学习(RL)成为有前景的方法。然而,现有基于RL的QAS面临严重可扩展性挑战:计算与训练成本随量子比特数、电路深度及硬件噪声迅速增长。为此,本文提出TensorRL-QAS框架,将张量网络方法与强化学习结合。通过用矩阵乘积态近似目标解来热启动QAS,有效缩小搜索空间至物理可行电路,加速收敛。在最多12比特的量子化学问题上,该方法相较基线实现最高10倍的CNOT门数与电路深度减少,同时保持或超越化学精度。经典优化器函数评估次数减少高达100倍,训练周期加速达98%,10比特系统成功率可达50%,远超基线<1%。在无噪与有噪场景下均表现鲁棒且通用,成功模拟8比特系统。此外,该方法在20比特系统上也验证有效,成为面向近期硬件的先进量子电路发现框架。

原文摘要 · Abstract (English)

Variational quantum algorithms hold the promise to address meaningful quantum problems already on noisy intermediate-scale quantum hardware. In spite of the promise, they face the challenge of designing quantum circuits that both solve the target problem and comply with device limitations. Quantum architecture search (QAS) automates the design process of quantum circuits, with reinforcement learning (RL) emerging as a promising approach. Yet, RL-based QAS methods encounter significant scalability issues, as computational and training costs grow rapidly with the number of qubits, circuit depth, and hardware noise. To address these challenges, we introduce $\textit{TensorRL-QAS}$, an improved framework that combines tensor network methods with RL for QAS. By warm-starting the QAS with a matrix product state approximation of the target solution, TensorRL-QAS effectively narrows the search space to physically meaningful circuits and accelerates the convergence to the desired solution. Tested on several quantum chemistry problems of up to 12-qubit, TensorRL-QAS achieves up to a 10-fold reduction in CNOT count and circuit depth compared to baseline methods, while maintaining or surpassing chemical accuracy. It reduces classical optimizer function evaluation by up to 100-fold, accelerates training episodes by up to 98$\%$, and can achieve 50$\%$ success probability for 10-qubit systems, far exceeding the $<$1$\%$ rates of baseline. Robustness and versatility are demonstrated both in the noiseless and noisy scenarios, where we report a simulation of an 8-qubit system. Furthermore, TensorRL-QAS demonstrates effectiveness on systems on 20-qubit quantum systems, positioning it as a state-of-the-art quantum circuit discovery framework for near-term hardware and beyond.

量子计算强化学习张量网络电路优化

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