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arXiv · 2609.28726

Associative Memory for Quantum Entangled States

Qiyuan Hu·Kartiek Agarwal·Ivar Martin
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Abstract

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.

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Qiyuan Hu, Kartiek Agarwal, Ivar Martin. 2026-09-23. Associative Memory for Quantum Entangled States. https://arxiv.org/abs/2609.28726

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