QUANTUM WAVE-PACKETS IN FUZZY AUTOMATA AND NEURAL ASSOCIATIVE MEMORIES

Gerasimos G. Rigatos ()
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Gerasimos G. Rigatos: Unit of Industrial Automation, Industrial Systems Institute, 26504 Rion Patras, Greece

International Journal of Modern Physics C (IJMPC), 2007, vol. 18, issue 10, 1551-1569

Abstract: In this paper the existence of quantum wave-packets in neural structures, such as automata and associative memories, is studied. The synaptic weights are considered to be stochastic variables, with probability density functions given by the solution of Schrödinger's equation. It is shown that the weights' update can be performed with the use of unitary operators, as indicated by the postulates of quantum mechanics. Moreover, it is proved that the number of attractors of quantum associative memories increases exponentially with respect to conventional associative memories. Finally, simulation tests are used to demonstrate the improved pattern storage capabilities of quantum associative memories.

Keywords: Stochastic automaton; quantum associative memories; Schrödinger's equation; strong fuzzy partition; eigenstructure analysis; attractors; unitary operators (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1142/S012918310701156X

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