Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:2106.14594 · Physical Review A

Adaptive random quantum eigensolver

N. Barraza, C.-Y. Pan, Lucas Lamata, E. Solano, F. Albarrán-Arriagada

Published May 4, 2022• 3 citations
arXivHTMLPDF

Abstract

We propose an adaptive random quantum algorithm to obtain an optimized eigensolver. Specifically, we introduce a general method to parametrize and optimize the probability density function of a random number generator, which is the core of stochastic algorithms. We follow a bioinspired evolutionary mutation method to introduce changes in the involved matrices. Our optimization is based on two figures of merit: learning speed and learning accuracy. This method provides high fidelities for the searched eigenvectors and faster convergence on the way to quantum advantage with current noisy intermediate-scaled quantum computers.

DOI
10.1103/physreva.105.052406

Related papers

Adaptive Quantum Computing for Machine Learning via Variational Quantum Eigensolver Optimization

Jincheng Zhang

Variational Quantum Eigensolver (VQE) has emerged as a prominent hybrid quantum-classical algorithm for near-term quantum computing, particularly in applications like quantum machine learning. However, the performance of VQE is significantly constrained by the limitations of classical optimization methods employed to minimize the expectation value of the Hamiltonian. Traditional VQE approaches often suffer from slow convergence and sensitivity to initial conditions, particularly when dealing with complex, high-dimensional problems encountered in machine learning scenarios. This work introduces a novel adaptive quantum computing framework for VQE optimization, designed to dynamically adjust the quantum circuit parameters during the optimization process. By continuously monitoring the optimization progress and intelligently modifying the parameters, we aim to accelerate convergence and improve the robustness of VQE algorithms for machine learning tasks. The core idea is to shift from a static, fixed-parameter VQE to a dynamic, adaptive one. We explore various adaptive control strategies and demonstrate their potential to significantly reduce the number of iterations required to reach a solution, leading to improved computational efficiency and enabling VQE to tackle more complex machine learning problems within the constraints of current quantum hardware. The research focuses on the theoretical underpinnings and the design principles of this adaptive approach, laying the foundation for future implementations and experimental validation.

•Aug 28, 2026•0 citations

Adaptive Quantum Computing Probability Density Optimization

Jincheng Zhang

This paper investigates a novel approach to quantum state optimization utilizing a self-adaptive quantum computing algorithm. Traditional optimization methods often struggle with complex, high-dimensional parameter spaces. We propose a system that dynamically adjusts quantum state parameters based on probability density feedback, resulting in improved accuracy and efficiency. The core mechanism involves a closed-loop feedback system that continuously evaluates the probability density and adjusts the parameters to minimize the error. This adaptive strategy offers a significant improvement over static optimization techniques, particularly in scenarios involving noisy systems and complex quantum circuits. We present a theoretical analysis of the algorithm's performance and demonstrate its effectiveness through simulations.

•Aug 31, 2026•0 citations

Quantum-Inspired Evolutionary Algorithms for Optimization

Jincheng Zhang

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.

•Sep 3, 2026•0 citations

Quantum Computing Random Matrix Generator Design

Jincheng Zhang

This paper presents a novel approach to random matrix generation utilizing quantum computation. Traditional random matrix generators, reliant on classical algorithms, often suffer from limitations in speed and scalability. We design a quantum random matrix generator (QRMG) capable of producing high-quality random matrices with specific properties, specifically tailored for accelerating machine learning training and inference. The core mechanism leverages quantum phenomena to achieve significantly improved generation speed compared to existing classical methods. This work explores the potential of quantum mechanics to fundamentally alter the process of generating random matrices, offering a promising pathway for enhancing the performance of computationally intensive machine learning tasks. The generated matrices will be used to simulate machine learning algorithms, showcasing the practical benefits of this new technique.

•Sep 3, 2026•0 citations

Quantum Machine Learning in Adaptive Matrix Optimization

Jincheng Zhang

Quantum Machine Learning (QML) has emerged as a promising paradigm for enhancing machine learning algorithms, particularly in areas demanding complex computations. This research investigates a novel approach to QML, specifically focusing on the optimization of matrix operations, aiming to significantly accelerate model training and improve generalization capabilities. We propose a quantum-enhanced matrix optimization technique leveraging the unique properties of quantum machine learning to address the computational bottlenecks inherent in traditional optimization methods. The core mechanism centers around quantum algorithms designed to efficiently navigate and manipulate matrices, leading to faster convergence and enhanced model performance. This work presents a framework for adapting to quantum machine learning, offering a potential pathway to accelerate the training and deployment of complex models.

•Sep 7, 2026•0 citations

Quantum-Adaptive Random Matrix Generation

Jincheng Zhang

This paper introduces a novel quantum-adaptive random matrix generation algorithm, designed to enhance data analysis and simulation through dynamic adjustment of matrix parameters. Leveraging the principles of quantum entanglement, the algorithm generates complex matrices that are tailored to specific data analysis needs, resulting in improved accuracy and efficiency. The core mechanism centers around utilizing quantum entanglement to produce matrices with enhanced properties, optimizing the matrix generation process for a wide range of applications.

•Sep 4, 2026•0 citations
We propose an adaptive random quantum algorithm to obtain an optimized eigensolver. Specifically, we introduce a general method to parametrize and optimize the probability density function of a random number generator, which is the core of stochastic algorithms. We follow a bioinspired evolutionary mutation method to introduce changes in the involved matrices. Our optimization is based on two figures of merit: learning speed and learning accuracy. This method provides high fidelities for the searched eigenvectors and faster convergence on the way to quantum advantage with current noisy intermediate-scaled quantum computers.
Variational Quantum Eigensolver (VQE) has emerged as a prominent hybrid quantum-classical algorithm for near-term quantum computing, particularly in applications like quantum machine learning. However, the performance of VQE is significantly constrained by the limitations of classical optimization methods employed to minimize the expectation value of the Hamiltonian. Traditional VQE approaches often suffer from slow convergence and sensitivity to initial conditions, particularly when dealing with complex, high-dimensional problems encountered in machine learning scenarios. This work introduces a novel adaptive quantum computing framework for VQE optimization, designed to dynamically adjust the quantum circuit parameters during the optimization process. By continuously monitoring the optimization progress and intelligently modifying the parameters, we aim to accelerate convergence and improve the robustness of VQE algorithms for machine learning tasks. The core idea is to shift from a static, fixed-parameter VQE to a dynamic, adaptive one. We explore various adaptive control strategies and demonstrate their potential to significantly reduce the number of iterations required to reach a solution, leading to improved computational efficiency and enabling VQE to tackle more complex machine learning problems within the constraints of current quantum hardware. The research focuses on the theoretical underpinnings and the design principles of this adaptive approach, laying the foundation for future implementations and experimental validation.
This paper investigates a novel approach to quantum state optimization utilizing a self-adaptive quantum computing algorithm. Traditional optimization methods often struggle with complex, high-dimensional parameter spaces. We propose a system that dynamically adjusts quantum state parameters based on probability density feedback, resulting in improved accuracy and efficiency. The core mechanism involves a closed-loop feedback system that continuously evaluates the probability density and adjusts the parameters to minimize the error. This adaptive strategy offers a significant improvement over static optimization techniques, particularly in scenarios involving noisy systems and complex quantum circuits. We present a theoretical analysis of the algorithm's performance and demonstrate its effectiveness through simulations.
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 presents a novel approach to random matrix generation utilizing quantum computation. Traditional random matrix generators, reliant on classical algorithms, often suffer from limitations in speed and scalability. We design a quantum random matrix generator (QRMG) capable of producing high-quality random matrices with specific properties, specifically tailored for accelerating machine learning training and inference. The core mechanism leverages quantum phenomena to achieve significantly improved generation speed compared to existing classical methods. This work explores the potential of quantum mechanics to fundamentally alter the process of generating random matrices, offering a promising pathway for enhancing the performance of computationally intensive machine learning tasks. The generated matrices will be used to simulate machine learning algorithms, showcasing the practical benefits of this new technique.
Quantum Machine Learning (QML) has emerged as a promising paradigm for enhancing machine learning algorithms, particularly in areas demanding complex computations. This research investigates a novel approach to QML, specifically focusing on the optimization of matrix operations, aiming to significantly accelerate model training and improve generalization capabilities. We propose a quantum-enhanced matrix optimization technique leveraging the unique properties of quantum machine learning to address the computational bottlenecks inherent in traditional optimization methods. The core mechanism centers around quantum algorithms designed to efficiently navigate and manipulate matrices, leading to faster convergence and enhanced model performance. This work presents a framework for adapting to quantum machine learning, offering a potential pathway to accelerate the training and deployment of complex models.
This paper introduces a novel quantum-adaptive random matrix generation algorithm, designed to enhance data analysis and simulation through dynamic adjustment of matrix parameters. Leveraging the principles of quantum entanglement, the algorithm generates complex matrices that are tailored to specific data analysis needs, resulting in improved accuracy and efficiency. The core mechanism centers around utilizing quantum entanglement to produce matrices with enhanced properties, optimizing the matrix generation process for a wide range of applications.