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Traditional optimization algorithms search for a single global optimum that maximizes (or minimizes) the objective function. Multimodal optimization algorithms search for the highest peaks in the search space that can be more than one.…

Neural and Evolutionary Computing · Computer Science 2020-12-18 Konstantinos Chatzilygeroudis , Antoine Cully , Vassilis Vassiliades , Jean-Baptiste Mouret

Quantum dynamics compilation is an important task for improving quantum simulation efficiency: It aims to synthesize multi-qubit target dynamics into a circuit consisting of as few elementary gates as possible. Compared to deterministic…

Quantum Physics · Physics 2024-09-26 Yuxuan Zhang , Roeland Wiersema , Juan Carrasquilla , Lukasz Cincio , Yong Baek Kim

This paper explores the application of variational quantum circuits (VQCs) for solving offline contextual bandit problems in industrial optimization tasks. Using the Industrial Benchmark (IB) environment, we evaluate the performance of…

Quantum Physics · Physics 2025-09-10 Lukas Schulte , Daniel Hein , Steffen Udluft , Thomas A. Runkler

The development of quantum algorithms and their application to quantum chemistry has introduced new opportunities for solving complex molecular problems that are computationally infeasible for classical methods. In quantum chemistry, the…

Quantum Physics · Physics 2025-08-18 Fabio Tarocco , Davide Materia , Leonardo Ratini , Leonardo Guidoni

Recent advancements in quantum computing have shown promising computational advantages in many problem areas. As one of those areas with increasing attention, hybrid quantum-classical machine learning systems have demonstrated the…

Neural and Evolutionary Computing · Computer Science 2023-01-18 Li Ding , Lee Spector

A central aspect for operating future quantum computers is quantum circuit optimization, i.e., the search for efficient realizations of quantum algorithms given the device capabilities. In recent years, powerful approaches have been…

Quantum Physics · Physics 2021-03-16 Thomas Fösel , Murphy Yuezhen Niu , Florian Marquardt , Li Li

In recent years, Variational Quantum Algorithms (VQAs) have emerged as a promising approach for solving optimization problems on quantum computers in the NISQ era. However, one limitation of VQAs is their reliance on fixed-structure…

Quantum Physics · Physics 2026-03-03 Gloria Turati , Maurizio Ferrari Dacrema , Paolo Cremonesi

Quantum algorithms based on variational approaches are one of the most promising methods to construct quantum solutions and have found a myriad of applications in the last few years. Despite the adaptability and simplicity, their…

In this work, we consider the problem of Quality-Diversity (QD) optimization with multiple objectives. QD algorithms have been proposed to search for a large collection of both diverse and high-performing solutions instead of a single set…

Artificial Intelligence · Computer Science 2022-06-01 Thomas Pierrot , Guillaume Richard , Karim Beguir , Antoine Cully

Solving combinatorial optimization problems on near-term quantum devices has gained a lot of attraction in recent years. Currently, most works have focused on single-objective problems, whereas many real-world applications need to consider…

Quantum Physics · Physics 2025-06-06 Linus Ekstrom , Hao Wang , Sebastian Schmitt

We present a method to split quantum circuits of variational quantum algorithms (VQAs) to allow for parallel training and execution, that maximally exploits the limited number of qubits in hardware to solve large problem instances. We apply…

Quantum Physics · Physics 2023-04-07 Michele Cattelan , Sheir Yarkoni

Efficient ground state search is fundamental to advancing combinatorial optimization problems and quantum chemistry. While the Variational Imaginary Time Evolution (VITE) method offers a useful alternative to Variational Quantum Eigensolver…

Quantum Physics · Physics 2026-04-10 Ryo Suzuki , Shohei Watabe

Quantum Approximate Optimization Algorithms (QAOA) have demonstrated a strong potential in addressing graph-based optimization problems. However, the execution of large-scale quantum circuits remains constrained by the limitations of…

Quantum Physics · Physics 2025-06-11 Vicente P. Soloviev , Antonio Márquez Romero , Josh Kirsopp , Michal Krompiec

Variational Quantum Algorithms (VQAs) are promising methods for solving combinatorial optimization problems on noisy intermediate-scale quantum (NISQ) devices. However, benchmarking VQAs is difficult due to their stochastic behavior and the…

This paper presents methodological improvements to variational quantum algorithms (VQAs) for solving multicriteria optimization problems. We introduce two key contributions. First, we reformulate the parameter optimization task of VQAs as a…

Quantum machine learning integrates the strengths of quantum computing and machine learning, enabling models to learn complex features using fewer parameters than their classical counterparts. Due to the increasing complexity of quantum…

Quantum Physics · Physics 2026-05-04 Emma Andrews , Prabhat Mishra

Quantum computing will change the way we tackle certain problems. It promises to dramatically speed-up many chemical, financial, and machine-learning applications. However, to capitalize on those promises, complex design flows composed of…

Quantum Physics · Physics 2020-10-28 Lukas Burgholzer , Robert Wille

Parameterised quantum circuits (PQCs) hold great promise for demonstrating quantum advantages in practical applications of quantum computation. Examples of successful applications include the variational quantum eigensolver, the quantum…

Quantum Physics · Physics 2024-04-30 Xin Hong , Wei-Jia Huang , Wei-Chen Chien , Yuan Feng , Min-Hsiu Hsieh , Sanjiang Li , Mingsheng Ying

Variational quantum algorithms have been advocated as promising candidates to solve combinatorial optimization problems on near-term quantum computers. Their methodology involves transforming the optimization problem into a quadratic…

Quantum Physics · Physics 2023-08-01 Zoé Verchère , Sourour Elloumi , Andrea Simonetto

The quantum circuit mapping approach is an indispensable part of the software stack for the noisy intermediatescale quantum (NISQ) device. It has a significant impact on the reliability of computational tasks on NISQ devices. To improve the…

Quantum Physics · Physics 2021-12-02 Pengcheng Zhu , Weiping Ding , Lihua Wei , Zhijin Guan , Shiguang Feng