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Updated: Sep 24, 2025

Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Controlled precision QUBO-based algorithm to compute eigenvectors of symmetric matrices
Benjamin Krakoff1, Susan M Mniszewski2, Christian F A Negre3
1Department of Mathematics, University of Michigan, Ann Arbor, Michigan, United States of America.
Abstract:
We describe an algorithm to compute the extremal eigenvalues and corresponding eigenvectors of a symmetric matrix which is based on solving a sequence of Quadratic Binary Optimization problems. This algorithm is robust across many different classes of symmetric matrices; It can compute the eigenvector/eigenvalue pair to essentially any arbitrary precision, and with minor modifications, can also solve the generalized eigenvalue problem. Performance is analyzed on small random matrices and selected larger matrices from practical applications.
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