Phase Transitions in Quantum Pattern Recognition

Details Phase Transitions in Quantum Pattern Recognition Phase Transitions in Quantum Pattern Recognition

2002-04-19

arxiv.org/abs/quant-ph/0204115v2

Physics

Quantum Physics

new version with minor changes to appear in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.89.277903

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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