用强化学习在小系统中发现可复用的量子电路模块,用于更大问题的高效设计。
Separating Ansatz Discovery from Deployment on Larger Problems: Reinforcement Learning for Modular Circuit Design
- 将量子电路设计分为小规模模块发现与大规模部署两阶段,提升可扩展性。
- 在8个量子比特上训练的模块在12和16个量子比特上仍有效,实现跨规模复用。
- 无需在大系统上直接学习,适合资源受限但需扩展性的量子算法研究者。
随着量子计算关注度上升,如何利用经典机器学习辅助实际量子工作流成为焦点。自动电路设计(量子架构搜索,QAS)是自然应用,但依赖对量子系统的建模能力以支持学习随量子比特数增长。该挑战是当前文献的核心难题,多数方法聚焦于约十量子比特的小系统。本文提出一种互补策略:先在小规模系统上通过强化学习发现可复用的模块化电路块(训练于8量子比特实例),再将其部署于更大问题(12和16量子比特)。我们提出基于强化学习的变分量子电路(RLVQC),将QAS建模为序列决策问题。在最大割、最大团和最小顶点覆盖的二次无约束二元优化(QUBO)实例上评估,发现的二量子比特模块能泛化类似QAOA的方法,且优于非模块化设计。该模块在8比特上学习后,在12和16比特上仍表现良好,验证了模块结构跨规模复用的可行性。本研究不追求新基准或超越经典方法,但证明可在小系统学习模块并扩展至大系统,避免在大规模量子系统上进行难以负担的经典学习。
原文摘要 · Abstract (English)
As quantum computing continues to gain attention, there is growing interest in how classical machine learning can assist quantum workflows in practice. Automated circuit design, sometimes referred to as Quantum Architecture Search (QAS), is a natural application but relies on the ability to model the quantum system to support learning as the number of qubits grows. This challenge is central to QAS, and much of the current literature that proposes new ways to model the ansatz focuses on small systems, often around ten qubits. In this work, we propose a complementary approach that separates a small-scale structure discovery phase, where a reusable modular circuit block is learned on small instances where classical learning is feasible, from a deployment phase, where the blocks are used to create the ansatz required for larger problems. To this end, we introduce Reinforcement Learning for Variational Quantum Circuits (RLVQC), formulating QAS as a sequential decision-making problem. We evaluate our methodology on Quadratic Unconstrained Binary Optimization (QUBO) instances derived from Maximum Cut, Maximum Clique, and Minimum Vertex Cover. Our RLVQC Block model is trained to discover a modular two-qubit block that can generalize QAOA-style methods and that is often beneficial compared to learning non-modular ansatzes. The blocks discovered on n=8 instances remain effective when deployed on larger instances (n=12 and n=16), supporting the feasibility of reusing learned modular structure across problem sizes. While we do not aim to establish a new state-of-the-art solver or an advantage over classical methods, our results provide evidence that modular ansatz structure can be learned on smaller instances and then extended to larger ones without requiring learning on systems with a large number of qubits, where quantum computing becomes interesting but classical computation becomes impractical.
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