Associative Memory for Quantum Entangled States

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.

Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech)

arXiv:2609.28726 [quant-ph]

(or arXiv:2609.28726v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2609.28726 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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