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    Content-Addressable Memory with a Content-Free Energy Function

    Félix Benoist1, Luca Peliti2, and Pablo Sartori1,*

    • *Contact author: pablo.sartori@gimm.pt

    Phys. Rev. Lett. 135, 237102 – Published 4 December, 2025

    DOI: https://doi.org/10.1103/tcqx-586g

    Abstract

    Content-addressable memory, i.e., stored information that can be retrieved from content-based cues, is key to computation. Besides natural and artificial neural networks, physical learning systems have recently been shown to have remarkable ability in this domain. While classical neural network models encode memories as energy minima, biochemical systems have been shown to be able to process information based on purely kinetic principles. This raises the question of whether neural networks can also encode information kinetically. Here, we propose a minimal model for content-addressable memory in which the kinetics, and not the energy function, are used to encode patterns. We find that the performance of this kinetic encoding is comparable to that of classical energy-based approaches. This highlights the fundamental significance of the kinetic stability of kinetic traps as an alternative to the thermodynamic stability of energy minima, offering new insights into the principles of computation in physical and synthetic systems.

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