量子纠缠态的联想记忆
Associative Memory for Quantum Entangled States
- The University of Chicago（芝加哥大学）
- Argonne National Laboratory（阿贡国家实验室）
机构由 AI 辅助整理，请以论文原文为准。
中文总结 AI 辅助
该研究将经典Hopfield联想记忆模型推广至量子纠缠态存储，基于截断投影子求和哈密顿量构造，发现容量缩放优于经典预期，暗示量子优势。
中文摘要 AI 辅助
我们将联想记忆的经典 Hopfield 模型（该模型存储单个自旋的经典态）推广到存储纠缠量子态。该构造基于截断投影子求和哈密顿量，并明确考虑了一个特例：存储自旋-1/2系统的二聚体单重态覆盖。我们分析了所存储记忆的稳定性，发现容量（即稳定模式的数目）随系统尺寸的缩放速度快于从标准 Hopfield 模型的朴素类比所预期的结果，这表明可能存在量子优势。
英文摘要
We generalize the canonical Hopfield model of associative memory, which stores classical states of individual spins, to store entangled quantum states. The construction is based on truncated projector-sum Hamiltonian, and we explicitly consider a special case that stores dimer singlet coverings of a spin-1/2 system. We analyze the stability of the stored memories and find that the capacity -- the number of stable patterns -- scales faster with the system size than one would expect from a naive analogy with the standard Hopfield model, suggesting a possible quantum advantage.
