This paper initiates the study of quantum computing within the constraints of using a polylogarithmic (O(log k n), k \ 1) number of qubits and a polylogarithmic number of computation steps. The current research in the literature has focussed on using a polynomial number of qubits. A new mathematical
Neural networks with quantum architecture and quantum learning
โ Scribed by Massimo Panella; Giuseppe Martinelli
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 154 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0098-9886
- DOI
- 10.1002/cta.619
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โฆ Synopsis
Abstract
A method is proposed for solving the two key problems facing quantum neural networks: introduction of nonlinearity in the neuron operation and efficient use of quantum superposition in the learning algorithm. The former is indirectly solved by using suitable Boolean functions. The latter is based on the use of a suitable nonlinear quantum circuit. The resulting learning procedure does not apply any optimization method. The optimal neural network is obtained by applying an exhaustive search among all the possible solutions. The exhaustive search is carried out by the proposed quantum circuit composed of both linear and nonlinear components. Copyright ยฉ 2009 John Wiley & Sons, Ltd.
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