Adaptive random quantum eigensolver

نویسندگان

چکیده

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

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On a parallel Maxwell eigensolver

Fast domain decomposition solver for internal problems of 3D hierarchical hp-FEM I. Anoufriev, V. Korneev Deriving fast domain decomposition (DD) preconditioners-solvers for hp discretizations of 2-nd order elliptic equations is still a challenge [1], although one pioneering solver of this type has been recently presented in [2] and generalized on adaptive hp discretizations in [3]. As it is we...

متن کامل

Fast Eigensolver for plasmonic metasurfaces

Finding the wavevectors (eigenvalues) and wavefronts (eigenvectors) in nanostructured metasurfaces is cast as a problem of finding the complex roots of a non-linear equation. A new algorithm is introduced for solving this problem; example eigenvalues are obtained and compared against the results from a popular, yet much more computationally expensive method built on a matrix eigenvalue problem....

متن کامل

Stochastic Variance Reduced Riemannian Eigensolver

We study the stochastic Riemannian gradient algorithm for matrix eigendecomposition. The state-of-the-art stochastic Riemannian algorithm requires the learning rate to decay to zero and thus suffers from slow convergence and suboptimal solutions. In this paper, we address this issue by deploying the variance reduction (VR) technique of stochastic gradient descent (SGD). The technique was origin...

متن کامل

A Parallel Scalable PETSc-Based Jacobi-Davidson Polynomial Eigensolver with Application in Quantum Dot Simulation

The Jacobi-Davidson (JD) algorithm recently has gained popularity for finding a few selected interior eigenvalues of large sparse polynomial eigenvalue problems, which commonly appear in many computational science and engineering PDE based applications. As other inner–outer algorithms like Newton type method, the bottleneck of the JD algorithm is to solve approximately the inner correction equa...

متن کامل

Restricted Adaptive Random Testing by Random Partitioning

Adaptive Random Testing (ART) is designed to detect the first failure with fewer test cases than pure Random Testing. Since well-known ART methods, namely Distance-Based ART (D-ART) and Restriction-Based ART (RRT), have quadratic runtime, ART methods based on the idea of partitioning have been presented. ART by Random Partitioning is one of these partition-based ART algorithms. While having onl...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Physical review

سال: 2022

ISSN: ['0556-2813', '1538-4497', '1089-490X']

DOI: https://doi.org/10.1103/physreva.105.052406