Quantum associative memory with a single driven-dissipative nonlinear oscillator

• URL: http://arxiv.org/abs/2205.09491v2
• Date: Tue, 16 May 2023 10:35:31 GMT
• Title: Quantum associative memory with a single driven-dissipative nonlinear oscillator
• Authors: Adri\`a Labay-Mora, Roberta Zambrini, Gian Luca Giorgi
• Abstract summary: We propose a realization of associative memory with a single driven-dissipative quantum oscillator. The model can improve the storage capacity of discrete neuron-based systems in a large regime. We show that the associative-memory capacity is inherently related to the existence of a spectral gap in the Liouvillian superoperator.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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