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Quantum Associative Memory with a Single Driven-Dissipative Nonlinear Oscillator.

Adrià Labay-Mora1, Roberta Zambrini1, Gian Luca Giorgi1

  • 1Institute for Cross Disciplinary Physics and Complex Systems (IFISC) UIB-CSIC, Campus Universitat Illes Balears, Palma de Mallorca, Spain.

Physical Review Letters
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Summary
This summary is machine-generated.

We introduce a novel quantum associative memory model using a single driven-dissipative quantum oscillator. This approach enhances storage capacity and allows continuous tuning of stored patterns, outperforming traditional neuron-based systems.

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Area of Science:

  • Quantum physics
  • Artificial intelligence
  • Information science

Background:

  • Associative memory models, like the Hopfield model, typically use networks of connected units.
  • Quantum generalizations often rely on open quantum Ising models.
  • Existing models face limitations in storage capacity and pattern tunability.

Purpose of the Study:

  • To propose a new quantum associative memory model.
  • To leverage a single driven-dissipative quantum oscillator for enhanced memory capabilities.
  • To explore improvements in storage capacity and pattern manipulation.

Main Methods:

  • Utilizing a single driven-dissipative quantum oscillator with infinite phase space degrees of freedom.
  • Analyzing the Liouvillian superoperator for spectral separation.
  • Demonstrating state discrimination between coherent states representing stored patterns.

Main Results:

  • The proposed model significantly improves storage capacity compared to discrete neuron-based systems.
  • Successful discrimination between multiple coherent states (stored patterns) is achieved.
  • Continuous tuning of stored patterns is possible by modifying the driving strength, acting as a modified learning rule.

Conclusions:

  • The quantum associative memory capability is intrinsically linked to spectral separation in the Liouvillian superoperator.
  • This spectral separation leads to timescale separation in dynamics, creating a metastable phase.
  • The single-oscillator approach offers a promising alternative for advanced quantum associative memory systems.