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Título: | Quantum associative memory with a single driven-dissipative nonlinear oscillator |
Autor: | Labay-Mora, Adrià; Zambrini, Roberta CSIC ORCID ; Giorgi, Gian Luca CSIC ORCID | Fecha de publicación: | 16-may-2023 | Editor: | arXiv | Citación: | Labay-Mora, Adrià; Zambrini, Roberta CSIC ORCID ; Giorgi, Gian Luca; 2023; Quantum associative memory with a single driven-dissipative nonlinear oscillator [Preprint]; arXiv; Version 3; https://doi.org/10.48550/arXiv.2205.09491 | Resumen: | Algorithms for associative memory typically rely on a network of many connected units. The prototypical example is the Hopfield model, whose generalizations to the quantum realm are mainly based on open quantum Ising models. We propose a realization of associative memory with a single driven-dissipative quantum oscillator exploiting its infinite degrees of freedom in phase space. The model can improve the storage capacity of discrete neuron-based systems in a large regime and we prove successful state discrimination between n coherent states, which represent the stored patterns of the system. These can be tuned continuously by modifying the driving strength, constituting a modified learning rule. We show that the associative-memory capacity is inherently related to the existence of a spectral gap in the Liouvillian superoperator, which results in a large timescale separation in the dynamics corresponding to a metastable phase. | Versión del editor: | https://doi.org/10.48550/arXiv.2205.09491 | URI: | http://hdl.handle.net/10261/352162 | DOI: | 10.48550/arXiv.2205.09491 | Referencias: | Labay-Mora, Adrià; Zambrini, Roberta; Giorgi, Gian Luca. Quantum Associative Memory with a Single Driven-Dissipative Nonlinear Oscillator. https://doi.org/10.1103/PhysRevLett.130.190602 . http://hdl.handle.net/10261/352161 |
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