Presentation 1998/3/20
Quantum Hopfield Network Using Single-Electron Circuits : Hopfield Network Without the Local-Minimum Problem
M Kazawa, Y Amemiya,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) The Hopfield network is a computation model for solving combinatorial optimization problems through the use of the specific feedback network. The feedback network changes its internal state to minimize the energy function. Thus we can obtain the solution to the given problem by relating the cost function of the problem to the energy function of the network and by observing how the network settles down to the minimum energy state. Owing to the existence of local minima in the energy function, however, we cannot always be certain of obtaining the correct solution to the problem. To overcome this difficulty, the author proposes the idea that a novel Hopfield network, free from the local-minimum problem, can be attained by constructing the feedback network using single-electron circuits. In the single-election circuit, a phenomenon exists called "cotunneling", in which two or more tunnelings occur simultaneously as a coherent coupling. Using this phenomenon, we can construct a "quantum Hopfield network" in which the transition of a Hamming distance of more than two is possible.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Hopfield network / quantum / single-electron circuit / cotunneling
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Committee NC
Conference Date 1998/3/20(1days)
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Registration To Neurocomputing (NC)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Quantum Hopfield Network Using Single-Electron Circuits : Hopfield Network Without the Local-Minimum Problem
Sub Title (in English)
Keyword(1) Hopfield network
Keyword(2) quantum
Keyword(3) single-electron circuit
Keyword(4) cotunneling
1st Author's Name M Kazawa
1st Author's Affiliation Faculty of Engineering, Hokkaido University()
2nd Author's Name Y Amemiya
2nd Author's Affiliation Faculty of Engineering, Hokkaido University
Date 1998/3/20
Paper #
Volume (vol) vol.97
Number (no) 624
Page pp.pp.-
#Pages 7
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