2009
DOI: 10.1007/s10773-009-0183-y
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Quantum Competitive Neural Network

Abstract: Quantum Neural Network (QNN) is a fledging science built upon the combination of classical neural network and quantum computing. After analyzing of traditional competitive neural network, this paper firstly presents a Quantum Competitive Neural Network (QCNN) that can recognize patterns and classify patterns via quantum competition. Contrasting to the conventional competitive neural network, the storage capacity or memory capacity of the QCNN is exponentially increased by a factor of 2 n , where n is the numbe… Show more

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Cited by 25 publications
(23 citation statements)
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“…In 2008, the model of quantum BP neural networks based on universal quantum gates is put forth by Li P.C. [6]; In 2009, Panella M., Martinelli G. presented neural networks with quantum architecture and quantum learning [7]; they also pointed out neuro fuzzy networks with nonlinear quantum learning in the same year [8], simultaneously, the authors also designed a few models of quantum neural networks [9][10][11][12], these quantum neural networks (QNN) all make use of a certain quantum characteristic. The nonlinear quantum mechanics was put forth by Abrams D. and Lloyd S. in 1998 [13].…”
mentioning
confidence: 99%
“…In 2008, the model of quantum BP neural networks based on universal quantum gates is put forth by Li P.C. [6]; In 2009, Panella M., Martinelli G. presented neural networks with quantum architecture and quantum learning [7]; they also pointed out neuro fuzzy networks with nonlinear quantum learning in the same year [8], simultaneously, the authors also designed a few models of quantum neural networks [9][10][11][12], these quantum neural networks (QNN) all make use of a certain quantum characteristic. The nonlinear quantum mechanics was put forth by Abrams D. and Lloyd S. in 1998 [13].…”
mentioning
confidence: 99%
“…Moreover, the learning algorithm of this model requires to be adapted with threshold parameter depending on the application at hand. The second model, developed by Zhou [20,21] in 2007, established the quantum algorithm that stores a set of predefined patterns in the memory of n neurons. This model increases the storage capacity of the neurons exponentially in contrast to classical neurons.…”
Section: Quantum Competitive Learningmentioning
confidence: 99%
“…The first phase is the storing phase, and is used to store the patterns in the neurons of the competitive ANNs. In the second phase, the competitive phase, Zhou proposed a quantum algorithm that allows the competition between neurons when an input pattern is presented to the network [21]. The primary defect of Zhou's competitive model [21] that the wining pattern is decided with low probability, because this model recalls the wining pattern based on decreased probability of the undesired patterns.…”
Section: Quantum Competitive Learningmentioning
confidence: 99%
“…With the rapid development of quantum information, many studies on quantum image representation and algorithm [27][28][29] had been proposed. Among these researches, quantum image representation is a fundamental task, which subtly arranges the digital image into the quantum computer.…”
Section: Quantum Image Representationmentioning
confidence: 99%