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Journal ArticleDOI

Quantum-behaved Particle Swarm Optimization Algorithm for Solving Nonlinear Equations

TLDR
A quantum-behaved particle swarm optimization algorithm is presented in this paper for solving nonlinear equations that is more accurate and effective than real traditional method.
Abstract
A quantum-behaved particle swarm optimization algorithm is presented in this paper for solving nonlinear equations. The positions of particle are coded by probability amplitudes of qubits that are updated by quantum rotation gates in this method. The corresponding real number solution at specified interval can be extracted by this algorithm for solving nonlinear equations. Compared to real traditional method, the simulation results show that this algorithm is more accurate and effective.

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Citations
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Journal ArticleDOI

Niche Brain Storm Optimization Algorithm for Multi-Peak Function Optimization

TL;DR: Experimental results show that NBSO performs better than BSO in global searching ability and faster than Niche Genetic Algorithm (NGA) in finding peaks for multi-peak function.
References
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Proceedings ArticleDOI

Particle swarm optimization

TL;DR: A concept for the optimization of nonlinear functions using particle swarm methodology is introduced, and the evolution of several paradigms is outlined, and an implementation of one of the paradigm is discussed.
Journal ArticleDOI

Elementary gates for quantum computation.

TL;DR: U(2) gates are derived, which derive upper and lower bounds on the exact number of elementary gates required to build up a variety of two- and three-bit quantum gates, the asymptotic number required for n-bit Deutsch-Toffoli gates, and make some observations about the number of unitary operations on arbitrarily many bits.
Journal ArticleDOI

Quantum-inspired evolutionary algorithm for a class of combinatorial optimization

TL;DR: The results show that QEA performs well, even with a small population, without premature convergence as compared to the conventional genetic algorithm, and a Q-gate is introduced as a variation operator to drive the individuals toward better solutions.
Journal Article

Quantum genetic algorithm based on real encoding and gradient information of object function

TL;DR: A quantum genetic algorithm based on real number encoding and gradient of object function is presented and a double searching space is acquired for the same number of chromosomes.
Journal Article

Quantum particle swarms algorithm for continuous space optimization

TL;DR: In this article, a novel quantum particle swarm optimization for continuous space optimization is proposed, where the positions of particles are encoded by the prob- ability amplitudes of quantum bits, the movements of particles were performed by quantum rotation gates, which achieved particles searching.
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