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One of the major application areas of interest for both near-term and fault-tolerant quantum computers is the optimization of classical objective functions. In this work, we develop intuitive constructions for a large class of these…

Classical algorithms are often not effective for solving nonconvex optimization problems where local minima are separated by high barriers. In this paper, we explore possible quantum speedups for nonconvex optimization by leveraging the…

Quantum Physics · Physics 2023-06-07 Yizhou Liu , Weijie J. Su , Tongyang Li

Particle swarm optimization (PSO) is a search algorithm based on stochastic and population-based adaptive optimization. In this paper, a pathfinding strategy is proposed to improve the efficiency of path planning for a broad range of…

Neural and Evolutionary Computing · Computer Science 2022-06-24 David , Budi Adiperdana

We introduce an optimisation method for variational quantum algorithms and experimentally demonstrate a 100-fold improvement in efficiency compared to naive implementations. The effectiveness of our approach is shown by obtaining…

Particle swarm optimization (PSO) is a widely used nature-inspired meta-heuristic for solving continuous optimization problems. However, when running the PSO algorithm, one encounters the phenomenon of so-called stagnation, that means in…

Neural and Evolutionary Computing · Computer Science 2013-08-09 Manuel Schmitt , Rolf Wanka

In real life, mostly problems are dynamic. Many algorithms have been proposed to handle the static problems, but these algorithms do not handle or poorly handle the dynamic environment problems. Although, many algorithms have been proposed…

Neural and Evolutionary Computing · Computer Science 2025-09-29 Zahid Iqbal , Waseem Shahzad

One of the significant breakthroughs in quantum computation is Grover's algorithm for unsorted database search. Recently, the applications of Grover's algorithm to solve global optimization problems have been demonstrated, where unknown…

Quantum Physics · Physics 2017-11-22 Yan Wang

Optimization is nothing but a mathematical technique which finds maxima or minima of any function of concern in some realistic region. Different optimization techniques are proposed which are competing for the best solution. Particle Swarm…

Neural and Evolutionary Computing · Computer Science 2019-03-29 Vishakha A Metre , Mr Pramod B Deshmukh

Optimization is finding the best solution, which mathematically amounts to locating the global minimum of some cost function. Optimization is traditionally automated with digital or quantum computers, each having their limitations and none…

Statistical Mechanics · Physics 2021-11-16 Natalia B. Janson , Christopher J. Marsden

Motivated by recent progress in quantum technologies and in particular quantum software, research and industrial communities have been trying to discover new applications of quantum algorithms such as quantum optimization and machine…

Quantum Physics · Physics 2021-12-23 Ebrahim Ardeshir-Larijani

In transportation planning and development, transport network design problem seeks to optimize specific objectives (e.g. total travel time) through choosing among a given set of projects while keeping consumption of resources (e.g. budget)…

Optimization and Control · Mathematics 2015-02-04 Mehran Fasihozaman Langerudi

The aim of structured optimization is to assemble a solution, using a given set of (possibly uncountably infinite) atoms, to fit a model to data. A two-stage algorithm based on gauge duality and bundle method is proposed. The first stage…

Optimization and Control · Mathematics 2019-11-05 Zhenan Fan , Yifan Sun , Michael P. Friedlander

We show that the quantum computational speedup of quantum algorithms is due to their teleological character, their being evolutions toward a goal (the solution of the problem) with an attractor in the very goal they will produce in the…

General Physics · Physics 2026-05-12 Giuseppe Castagnoli

Nature-inspired swarm-based algorithms have been widely applied to tackle high-dimensional and complex optimization problems across many disciplines. They are general purpose optimization algorithms, easy to use and implement, flexible and…

Optimization and Control · Mathematics 2021-03-23 Kwok Pui Choi , Enzio Hai Hong Kam , Tze Leung Lai , Xin T. Tong , Weng Kee Wong

Swarm based optimization algorithms have demonstrated remarkable success in solving complex optimization problems. However, their widespread adoption remains sceptical due to limited transparency in how different algorithmic components…

Neural and Evolutionary Computing · Computer Science 2026-04-01 Nitin Gupta , Bapi Dutta , Anupam Yadav

The periodic mode is analyzed together with two conventional boundary handling modes for particle swarm. By providing an infinite space that comprises periodic copies of original search space, it avoids possible disorganizing of particle…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Wen-Jun Zhang , Xiao-Feng Xie , De-Chun Bi

Particle Swarm Optimization (PSO) is a metaheuristic global optimization paradigm that has gained prominence in the last two decades due to its ease of application in unsupervised, complex multidimensional problems which cannot be solved…

Neural and Evolutionary Computing · Computer Science 2019-01-07 Saptarshi Sengupta , Sanchita Basak , Richard Alan Peters

This paper proposes a new generalized two dimensional learning approach for particle swarm based feature selection. The core idea of the proposed approach is to include the information about the subset cardinality into the learning…

Neural and Evolutionary Computing · Computer Science 2018-08-06 Faizal Hafiz , Akshya Swain , Nitish Patel , Chirag Naik

In this paper, based on the Quantum-behaved Particle Swarm Optimization algorithm, we evolve the algorithm to optimize a multiobjective optimization problem, namely the Cobb Douglas Habitability function which is based on CES production…

Instrumentation and Methods for Astrophysics · Physics 2019-05-01 Arun John , Anish Murthy

We introduce the new problems of quantum packing, quantum covering, and quantum paving. These problems arise naturally when considering an algebra of non-commutative operators that is deeply rooted in quantum physics as well as in Gabor…

Quantum Physics · Physics 2024-08-20 Markus Faulhuber , Thomas Strohmer