From neural to quantum associative networks: A new quantum “algorithm”

Perusˇ, Mitja
May 2000
AIP Conference Proceedings;2000, Vol. 517 Issue 1, p289
Academic Journal
Like associative neural networks, quantum systems can implement content-addressable associative memory. This thesis arose from a systematic observation that mathematical formalism of quantum theory and associative neural net theory are equivalent. Quantum associative networks exploit correlations and phase differences among “interfering” constituting elements of patterns which act as attractors. Thus, exhibiting a sort of quantum holography, they are able to realize pattern recognition, interpolation and even prediction or anticipation. As an extension of our model of a quantum implementation of neural networks, this paper specifies important conditions for a relatively natural (i.e., not necessarily artificial) realization of quantum associative memory. Encoding of phase differences, quantum closure relation and “fuzzification” of orthonormality condition will be analyzed in the context of our information processing “algorithm”. © 2000 American Institute of Physics.


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