Phase Transitions in Quantum Pattern Recognition
Phys. Rev. Lett. 89, 277903 – Published 19 December, 2002
DOI: https://doi.org/10.1103/PhysRevLett.89.277903
Abstract
With the help of quantum mechanics one can formulate a model of associative memory with optimal storage capacity. This model is generalized by introducing a parameter playing the role of an effective temperature. The corresponding thermodynamics provides criteria to tune the efficiency of quantum pattern recognition. It is shown 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.