Observation of associative-memory retrieval and spin-glass phases on a photonic quantum simulator

Fuente: arXiv
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Autori principali: Giordani, Taira, Zanfardino, Gennaro, Leuzzi, Luca, Bonfissuto, Enrico, Caruccio, Eugenio, Gasbarri, Gabriele, Bossi, Mattia, Rajan, Abhiram, Albiero, Riccardo, Ceccarelli, Francesco, Spagnolo, Nicolò, Santagati, Raffaele, Paesani, Stefano, Leonetti, Marco, Osellame, Roberto, Parisi, Giorgio, Ruocco, Giancarlo, Illuminati, Fabrizio, Sciarrino, Fabio
Natura: Preprint
Pubblicazione: 2026
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author Giordani, Taira
Zanfardino, Gennaro
Leuzzi, Luca
Bonfissuto, Enrico
Caruccio, Eugenio
Gasbarri, Gabriele
Bossi, Mattia
Rajan, Abhiram
Albiero, Riccardo
Ceccarelli, Francesco
Spagnolo, Nicolò
Santagati, Raffaele
Paesani, Stefano
Leonetti, Marco
Osellame, Roberto
Parisi, Giorgio
Ruocco, Giancarlo
Illuminati, Fabrizio
Sciarrino, Fabio
author_facet Giordani, Taira
Zanfardino, Gennaro
Leuzzi, Luca
Bonfissuto, Enrico
Caruccio, Eugenio
Gasbarri, Gabriele
Bossi, Mattia
Rajan, Abhiram
Albiero, Riccardo
Ceccarelli, Francesco
Spagnolo, Nicolò
Santagati, Raffaele
Paesani, Stefano
Leonetti, Marco
Osellame, Roberto
Parisi, Giorgio
Ruocco, Giancarlo
Illuminati, Fabrizio
Sciarrino, Fabio
contents Models of interacting complex systems provide the fundamental statistical physics reference frame for the study and the understanding of associative memories, machine learning, and the dynamics of neural networks. On the other hand, simulating complex multi-synaptic interactions on a classical hardware is computationally demanding due to the super-linear scaling of the system complexity. Photonic quantum technologies provide a promising solution to these limitations by leveraging on their inherent speed and parallel processing ability in order to simulate complex networks. Recently, a connection between multiphoton processes and generalized $p$-body Hopfield models has been theoretically established. Here, we design and demonstrate an experimental platform that exploits single photons distributed across a set of optical modes, in which controlled arrays of binary phase shifters act as Ising-like neurons. We focus specifically on a fully connected Hopfield Hamiltonian with four-body local interaction terms, realized via two-photon processes. Through quantum simulations on programmable photonic processors, the study identifies three distinct regimes: a memory retrieval phase, a spin-glass memory "black-out" phase, and a paramagnetic phase. Experimental results confirm successful memory retrieval at low storage capacities and temperatures, where the system consistently relaxes to fixed points with high memory overlap, effectively reconstructing the stored patterns. Future research will extend the platform design to investigate networks with local or dilute interactions, while advances in the realization of scalable photonic circuits will enable architectures that encompass very large numbers of interacting spins.
format Preprint
id arxiv_https___arxiv_org_abs_2605_22922
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Observation of associative-memory retrieval and spin-glass phases on a photonic quantum simulator
Giordani, Taira
Zanfardino, Gennaro
Leuzzi, Luca
Bonfissuto, Enrico
Caruccio, Eugenio
Gasbarri, Gabriele
Bossi, Mattia
Rajan, Abhiram
Albiero, Riccardo
Ceccarelli, Francesco
Spagnolo, Nicolò
Santagati, Raffaele
Paesani, Stefano
Leonetti, Marco
Osellame, Roberto
Parisi, Giorgio
Ruocco, Giancarlo
Illuminati, Fabrizio
Sciarrino, Fabio
Quantum Physics
Disordered Systems and Neural Networks
Statistical Mechanics
Models of interacting complex systems provide the fundamental statistical physics reference frame for the study and the understanding of associative memories, machine learning, and the dynamics of neural networks. On the other hand, simulating complex multi-synaptic interactions on a classical hardware is computationally demanding due to the super-linear scaling of the system complexity. Photonic quantum technologies provide a promising solution to these limitations by leveraging on their inherent speed and parallel processing ability in order to simulate complex networks. Recently, a connection between multiphoton processes and generalized $p$-body Hopfield models has been theoretically established. Here, we design and demonstrate an experimental platform that exploits single photons distributed across a set of optical modes, in which controlled arrays of binary phase shifters act as Ising-like neurons. We focus specifically on a fully connected Hopfield Hamiltonian with four-body local interaction terms, realized via two-photon processes. Through quantum simulations on programmable photonic processors, the study identifies three distinct regimes: a memory retrieval phase, a spin-glass memory "black-out" phase, and a paramagnetic phase. Experimental results confirm successful memory retrieval at low storage capacities and temperatures, where the system consistently relaxes to fixed points with high memory overlap, effectively reconstructing the stored patterns. Future research will extend the platform design to investigate networks with local or dilute interactions, while advances in the realization of scalable photonic circuits will enable architectures that encompass very large numbers of interacting spins.
title Observation of associative-memory retrieval and spin-glass phases on a photonic quantum simulator
topic Quantum Physics
Disordered Systems and Neural Networks
Statistical Mechanics
url https://arxiv.org/abs/2605.22922