用强化学习生成高效量子电路,兼顾深度与门数优化。
Hybrid Reward-Driven Reinforcement Learning for Efficient Quantum Circuit Synthesis
- 基于动作序列的表格Q-learning,结合状态空间离散化应对指数级增长。
- 混合奖励机制有效降低电路深度与门数,7量子比特任务中实现最小深度。
- 专为电路结构设计奖励,适合量子线路优化与实际硬件部署场景。
本文提出一种强化学习框架,用于从固定初始态高效合成目标量子态的量子电路,解决当前嘈杂中等规模量子(NISQ)时代及未来容错量子计算中的核心挑战。方法采用基于动作序列的表格Q-learning,在离散化量子态空间中运行,通过稀疏矩阵表示与状态空间离散化有效管理维度爆炸问题。引入混合奖励机制:静态领域先验奖励引导向目标态,可定制动态惩罚项抑制门拥堵与冗余状态重访,实现电路感知奖励,区别于主流以保真度为导向的方法。在最多7量子比特的图态制备任务上,算法持续发现最小深度电路,且在通用门集下仍保持低深度。结果表明,该强化学习驱动方法能高效探索复杂量子态空间,合成近优量子电路,为资源高效量子线路优化提供基础。
原文摘要 · Abstract (English)
A reinforcement learning (RL) framework is introduced for the efficient synthesis of quantum circuits that generate specified target quantum states from a fixed initial state, addressing a central challenge in both the Noisy Intermediate-Scale Quantum (NISQ) era and future fault-tolerant quantum computing. The approach utilizes tabular Q-learning, based on action sequences, within a discretized quantum state space, to effectively manage the exponential growth of the space dimension. The framework introduces a hybrid reward mechanism, combining a static, domain-informed reward that guides the agent toward the target state with customizable dynamic penalties that discourage inefficient circuit structures such as gate congestion and redundant state revisits. This is a circuit-aware reward, in contrast to the current trend of works on this topic, which are primarily fidelity-based. By leveraging sparse matrix representations and state-space discretization, the method enables practical navigation of high-dimensional environments while minimizing computational overhead. Benchmarking on graph-state preparation tasks for up to seven qubits, we demonstrate that the algorithm consistently discovers minimal-depth circuits with optimized gate counts. Moreover, extending the framework to a universal gate set still yields low depth circuits, highlighting the algorithm robustness and adaptability. The results confirm that this RL-driven approach, with our completely circuit-aware method, efficiently explores the complex quantum state space and synthesizes near-optimal quantum circuits, providing a resource-efficient foundation for quantum circuit optimization.
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