arXiv:2512.07871quant-phcs.AI2025-12被引 1

用量子电路模拟逻辑推理,实现可微分的自洽推断。

Quantum Circuit Reasoning Models: A Variational Framework for Differentiable Logical Inference

  • 将量子门操作映射为推理中的假设分支与一致性验证
  • 通过参数化量子电路实现逻辑规则的可微训练
  • 适合需要可解释推理的科学与生物医药领域

本文提出一种新型推理架构——量子电路推理模型(QCRM),将变分量子电路(VQC)从能量最小化和分类任务扩展至结构化逻辑推理。我们指出量子力学中的叠加、纠缠、干涉与测量,天然对应于假设分支、约束传播、一致性校验与决策等推理原语。该框架结合量子启发计算与可微优化,使推理表现为振幅演化与干涉驱动的自洽状态选择过程。文中建立了QCRM的数学基础,定义了参数化电路结构,并证明逻辑规则可编码为命题量子比特上的幺正变换。进一步提出了基于经典梯度下降的训练目标,并讨论了在经典硬件上的仿真实现。最后,提出量子推理层(QRL)作为可组合推理模型的可微分混合组件,适用于科学、生物医学与化学推理领域。

原文摘要 · Abstract (English)

This report introduces a novel class of reasoning architectures, termed Quantum Circuit Reasoning Models (QCRM), which extend the concept of Variational Quantum Circuits (VQC) from energy minimization and classification tasks to structured logical inference and reasoning. We posit that fundamental quantum mechanical operations, superposition, entanglement, interference, and measurement, naturally map to essential reasoning primitives such as hypothesis branching, constraint propagation, consistency enforcement, and decision making. The resulting framework combines quantum-inspired computation with differentiable optimization, enabling reasoning to emerge as a process of amplitude evolution and interference-driven selection of self-consistent states. We develop the mathematical foundation of QCRM, define its parameterized circuit architecture, and show how logical rules can be encoded as unitary transformations over proposition-qubit states. We further formalize a training objective grounded in classical gradient descent over circuit parameters and discuss simulation-based implementations on classical hardware. Finally, we propose the Quantum Reasoning Layer (QRL) as a differentiable hybrid component for composable reasoning models applicable to scientific, biomedical, and chemical inference domains.

量子推理可微分推理逻辑推理量子计算

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