Energy spectrum of quantum associative memories

Quantum associative memories are derived from the Hopfleld memory model under the assumption that the elements of the correlation weight matrix W are stochastic variables. The probability density function of each weight is given as a solution of Schrodinger´s diffusion equation. Spectral analysis of quantum associative memories follows previous studies on the wavelets´ energy spectrum. Spectral analysis shows that (i) the basis functions of the stochastic weights express the distribution of energy with respect to the weights´ values, (ii) the stochastic weights satisfy the principle of uncertainty.