aiqbench analysis
This study demonstrates that intrinsic quantum fluctuations in a vector Hopfield network can stabilize stored patterns and enhance retrieval performance beyond classical limits. By leveraging non-commutative spin dynamics, the research identifies a "quantum order-by-disorder" mechanism that improves associative memory capacity as pattern loading increases. These findings provide a theoretical foundation for developing quantum-enhanced memory systems without relying on external error correction.
Quantum-stabilized patterns in a vector Hopfield network
arXiv:2606.06597v1 Announce Type: new Abstract: We introduce the quantum vector Hopfield network, in which patterns are formed by orientations of quantum vector spins; quantum dynamics arise intrinsically from the non-commutativity of the spin operators. We derive the equations of state and the phase diagrams for this network as well as its classical counterpart. We find that quantum fluctuations, surprisingly, stabilize the stored patterns. Both the critical retrieval temperature and the target pattern overlap are enhanced relative to the classical network. Additionally, we find that this enhancement grows with pattern loading up to network capacity. We interpret this effect as an analog of quantum order-by-disorder, a mechanism by which quantum fluctuations promote the formation of ordered phases. These findings offer a new route to quantum-enhanced associative memory.
Abstract:We introduce the quantum vector Hopfield network, in which patterns are formed by orientations of quantum vector spins; quantum dynamics arise intrinsically from the non-commutativity of the spin operators. We derive the equations of state and the phase diagrams for this network as well as its classical counterpart. We find that quantum fluctuations, surprisingly, stabilize the stored patterns. Both the critical retrieval temperature and the target pattern overlap are enhanced relative to the classical network. Additionally, we find that this enhancement grows with pattern loading up to network capacity. We interpret this effect as an analog of quantum order-by-disorder, a mechanism by which quantum fluctuations promote the formation of ordered phases. These findings offer a new route to quantum-enhanced associative memory.
Quantum Physics (quant-ph); Disordered Systems and Neural Networks (cond-mat.dis-nn); Statistical Mechanics (cond-mat.stat-mech)
arXiv:2606.06597 [quant-ph]
(or arXiv:2606.06597v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2606.06597 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
sup_imgs/hist_K5_15.pdf
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Full text under the publisher's open licence · 225 words