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Phase Transitions in Quantum Pattern Recognition

Carlo A. Trugenberger
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Abstract

With the help of quantum mechanics one can formulate a model of associative memory with optimal storage capacity. I generalize this model by introducing a parameter playing the role of an effective temperature. The corresponding thermodynamics provides criteria to tune the efficiency of quantum pattern recognition. I show that the associative memory undergoes a phase transition from a disordered high-temperature phase with no correlation between input and output to an ordered, low-temperature phase with minimal input-output Hamming distance.

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Carlo A. Trugenberger. 2002-11-27. Phase Transitions in Quantum Pattern Recognition. https://doi.org/10.1103/physrevlett.89.277903

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