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CRC Press eBooks

Quantum-inspired evolutionary algorithms

Sulabh Bansal, Amrit Kaur

Published May 6, 2025• 3 citations
Publisher

Abstract

Quantum-Inspired Evolutionary Algorithms (QIEAs) represent a novel fusion of quantum computing principles and classical evolutionary strategies, offering a powerful approach to solving complex optimization problems. This chapter provides a comprehensive overview, detailing foundational concepts, implementation techniques, and potential applications of QIEAs. By leveraging quantum phenomena such as superposition and entanglement, QIEAs enhance the exploitation and exploration capabilities of traditional evolutionary algorithms (EAs), thus enabling an efficient search of vast solution spaces. The study examines key components of QIEA, including quantum encoding, rotation gates, and entanglement operations, and compares its performance with classical EAs. By analyzing real-life examples of combinatorial optimization problems (COPs) such as the minimum spanning tree (MST), traveling salesman problem (TSP), and graph coloring, the chapter demonstrates QIEA’s superior efficiency and solution quality. Despite implementation challenges, QIEA shows promise in various domains, including machine learning, finance, healthcare, telecommunications, and e-commerce. Future research directions are outlined, emphasizing the need for simplified quantum-inspired operators, hybrid quantum-classical systems, and interdisciplinary collaboration. This chapter highlights the transformative potential of QIEA, setting the stage for further advancements and applications in optimization and computational efficiency.

DOI
10.1201/9781003612858-2

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Quantum-Inspired Evolutionary Algorithms (QIEAs) represent a novel fusion of quantum computing principles and classical evolutionary strategies, offering a powerful approach to solving complex optimization problems. This chapter provides a comprehensive overview, detailing foundational concepts, implementation techniques, and potential applications of QIEAs. By leveraging quantum phenomena such as superposition and entanglement, QIEAs enhance the exploitation and exploration capabilities of traditional evolutionary algorithms (EAs), thus enabling an efficient search of vast solution spaces. The study examines key components of QIEA, including quantum encoding, rotation gates, and entanglement operations, and compares its performance with classical EAs. By analyzing real-life examples of combinatorial optimization problems (COPs) such as the minimum spanning tree (MST), traveling salesman problem (TSP), and graph coloring, the chapter demonstrates QIEA’s superior efficiency and solution quality. Despite implementation challenges, QIEA shows promise in various domains, including machine learning, finance, healthcare, telecommunications, and e-commerce. Future research directions are outlined, emphasizing the need for simplified quantum-inspired operators, hybrid quantum-classical systems, and interdisciplinary collaboration. This chapter highlights the transformative potential of QIEA, setting the stage for further advancements and applications in optimization and computational efficiency.
This paper explores the application of quantum-inspired evolutionary algorithms (QIEAs) to the optimization of quantum circuits. Traditional evolutionary algorithms (EAs) often face challenges in efficiently navigating the complex design space inherent in quantum circuit design. This work proposes a novel approach that leverages quantum-inspired operators – superposition and quantum tunneling – within an adaptive evolutionary framework. The core idea is to mimic key quantum mechanical phenomena to enhance exploration capabilities and accelerate convergence. The algorithm is designed to dynamically adjust its search strategy based on the current state of the population, fostering a more targeted and effective exploration of the circuit design landscape. We demonstrate the potential of this approach to significantly improve the performance of circuit optimization, particularly in scenarios where conventional EAs struggle to find optimal solutions within reasonable computational time. The theoretical framework and the proposed algorithm are presented, followed by a discussion of its potential applications and future research directions.
Quantum-Inspired Algorithms (QIAs) combine principles of quantum computing with classical evolutionary strategies to address complex optimization problems. This research explores the potential of QIAs in improving optimization processes, particularly in combinatorial and multi-objective optimization scenarios. The study focuses on the application of Quantum-Inspired Genetic Algorithms (QIGAs) and Quantum-Inspired Evolutionary Algorithms (QIEAs), assessing their effectiveness in solving classical problems like the Traveling Salesman Problem (TSP) and Minimum Spanning Tree (MST). Through computational simulations, the research compares the time convergence and solution accuracy of QIAs against traditional classical algorithms. The findings demonstrate that QIAs achieve faster convergence rates and higher-quality solutions, with accuracy levels reaching 98-99% of the global optimal solutions, while significantly reducing computational time. These results underline the advantages of QIAs in solving large and complex optimization problems, making them a promising alternative to traditional algorithms. Additionally, QIAs excel in avoiding local minima, a common pitfall of classical methods, due to their ability to explore the solution space more efficiently through quantum principles like superposition and interference. The implications of this study suggest that QIAs can be a valuable tool for tackling real-world optimization challenges, with potential applications in fields such as finance, logistics, telecommunications, and energy management. The research also indicates the necessity for further improvements in quantum-inspired algorithms' scalability and hardware integration, particularly for larger, more intricate optimization problems, to fully realize their potential in practical industrial applications.
This paper presents a novel approach to complex optimization problems by integrating quantum-inspired concepts within an evolutionary algorithm framework. Traditional evolutionary algorithms, such as Genetic Algorithms and Differential Evolution, can struggle with high-dimensional and complex search spaces, often exhibiting slow convergence rates. We hypothesize that principles derived from quantum mechanics, specifically superposition and entanglement, can provide a more effective mechanism for exploring these spaces. Our proposed Quantum-Inspired Evolutionary Algorithm (QIEA) incorporates operators designed to mimic quantum interference and entanglement, allowing for a more nuanced and potentially faster exploration of the solution landscape. The core claim is that these quantum-inspired mechanisms can significantly enhance the efficiency of evolutionary optimization. The paper details the algorithm's design, including the implementation of interference and entanglement operators, and discusses its potential advantages and challenges. Experimental results (though not presented through dedicated experimental sections) demonstrate the algorithm's ability to outperform standard evolutionary algorithms on a range of benchmark problems.
This paper investigates the potential of incorporating quantum mechanical concepts into evolutionary algorithms (EAs) to improve their optimization capabilities. Traditional EAs, while effective, often struggle with complex search spaces and can get trapped in local optima. We propose a framework for developing quantum-inspired EAs that leverages principles such as superposition and entanglement to enhance exploration and exploitation strategies. The core idea is to introduce probabilistic operators and adaptive parameter control mimicking quantum behaviors. We present a detailed description of the proposed algorithm, focusing on the mathematical formulation of the key components, including the representation of solutions, the selection process, and the mutation operator. The algorithm's performance is evaluated on several benchmark optimization problems, demonstrating its potential to outperform conventional EAs in scenarios demanding high accuracy and rapid convergence. Furthermore, we analyze the theoretical implications of this approach, highlighting the advantages derived from quantum-inspired mechanisms. This work contributes to the ongoing research at the intersection of evolutionary computation and quantum information theory, offering a novel approach to tackling complex optimization challenges.
This paper proposes a novel type of quantum-inspired evolutionary algorithm (QiEA) for numerical optimization inspired by the multiple universes principle of quantum computing, which is based on the concept and principles of quantum computing, such as a quantum bit and superposition of states. Numerical optimization problems are an important field of research with several applications in several areas: industrial plant optimization, data mining and many others, and although being successfully used for solving several optimization problems, evolutionary algorithms still present issues that can reduce their performances when faced with task where the evaluation function is computationally intensive. In order to address those issues the QiEA represent the most recent advance in the field of evolutionary computation. This work present some application about combinatorial and numerical optimization problems.
One of the most common and well-known problems in combinatorial optimization is the minimum spanning tree. With the emergence of complex data structures, new, more complex, but asymptotically efficient algorithms have been proposed. In this research, we present a new evolutionary algorithm influenced by quantum mechanics, known as quantum-inspired evolutionary algorithm (QIEA) to find the minimum spanning tree of a complete weighted undirected graph as input and computational results to demonstrate the effectiveness of proposed algorithm. The proposed algorithm is named QIEA-MST and is based on concept and principle such as qubits and the superposition, coherence and the entanglement of different qubits of quantum state. The algorithm is simple and easy to understand and easy to implement. Some types of scientific and engineering problems will benefit from the proposed method.