用扩散模型生成和恢复量子态,实现超99%保真度。
Continuous-variable Quantum Diffusion Model for State Generation and Restoration
- 基于热损失通道的正向扩散与可学习反向去噪结合。
- 生成和恢复多种量子态,保真度普遍超99%。
- 适合量子信息处理中的状态工程与噪声抑制场景。
复杂量子态在环境噪声下的生成与保持是连续变量(CV)量子信息处理的关键挑战。本文提出一种基于连续变量量子扩散原理的新框架,融合连续变量量子神经网络(CVQNNs),同时解决生成与恢复双重问题。针对状态生成,提出连续变量量子扩散生成模型(CVQD-G),通过热损失通道驱动的正向扩散过程,再由带时间嵌入的参数高效CVQNN实现反向去噪。进一步拓展为状态恢复模型(CVQD-R),专门用于从热退化中恢复未知参数的相干态等量子态。数值模拟验证了该框架在生成多样高斯(相干态、压缩态)和非高斯(福克态、猫态)态方面的能力,保真度普遍超过99%;同时确认其对退化态的鲁棒恢复能力。复杂度分析表明训练与推理成本合理,具备良好效率与可扩展性,有望成为真实CV量子系统中量子态工程与噪声缓解的可靠工具。
原文摘要 · Abstract (English)
The generation and preservation of complex quantum states against environmental noise are paramount challenges in advancing continuous-variable (CV) quantum information processing. This paper introduces a novel framework based on continuous-variable quantum diffusion principles, synergizing them with CV quantum neural networks (CVQNNs) to address these dual challenges. For the task of state generation, our Continuous-Variable Quantum Diffusion Generative model (CVQD-G) employs a physically driven forward diffusion process using a thermal loss channel, which is then inverted by a learnable, parameter-efficient backward denoising process based on a CVQNN with time-embedding. This framework's capability is further extended for state recovery by the Continuous-Variable Quantum Diffusion Restoration model (CVQD-R), a specialized variant designed to restore quantum states, particularly coherent states with unknown parameters, from thermal degradation. Extensive numerical simulations validate these dual capabilities, demonstrating the high-fidelity generation of diverse Gaussian (coherent, squeezed) and non-Gaussian (Fock, cat) states, typically with fidelities exceeding 99%, and confirming the model's ability to robustly restore corrupted states. Furthermore, a comprehensive complexity analysis reveals favorable training and inference costs, highlighting the framework's efficiency, scalability, and its potential as a robust tool for quantum state engineering and noise mitigation in realistic CV quantum systems.
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