Fuzzy Automata and Neural Associative Memories Compatible with Principles of Quantum Computation

G.G. Rigatos (Greece)

Keywords

neural structures, Schr¨odinger’s equation, quantum me chanics postulates, energy spectrum, uncertainty principle.

Abstract

The paper studies neural structures, such as automata and associative memories which are compatible with quantum mechanics postulates. The proposed neural structures have stochastic weights which are calculated from the solution of Schr¨odinger’s equation. An analysis of the energy spec trum of the stochastic weights is provided and it is proved that a relation analogous to the principle of uncertainty holds. In the case of associative memories the proposed neural model results in an exponential increase of patterns storage capacity (number of attractors).

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