Open Quantum Discrete Modern Hopfield Networks: Analysis and Phase Diagram
This study introduces an open quantum model for discrete modern Hopfield networks, demonstrating qualitatively distinct behaviors from traditional open quantum Hopfield networks, particularly in the stability of fixed points and the emergence of limit cycle phases.
Numerical Analysis of a Dissipative Quantum Hopfield Network and its Storage Capacity
While a quantum Hopfield network exhibits pattern-antipattern oscillations in single trajectory simulations, these oscillations dampen upon averaging over multiple trajectories in finite-size systems, suggesting a potential for steady-state oscillations only in infinitely large networks. Additionally, the quantum term negatively impacts storage capacity in smaller networks, though it can enhance the retrieval of alternative stored patterns under specific conditions.
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