Quantum Linear System Algorithm for Dense Matrices

Solving linear systems of equations is a frequently encountered problem in machine learning and optimization. Given a matrix A and a vector b the task is to find the vector x such that Ax=b. We describe a quantum algorithm that achieves a sparsity-independent runtime scaling of O(κ^{2}sqrt[n]polylog...

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Bibliographic Details
Published in:Physical review letters Vol. 120; no. 5; p. 050502
Main Authors: Wossnig, Leonard, Zhao, Zhikuan, Prakash, Anupam
Format: Journal Article
Language:English
Published: United States 02.02.2018
ISSN:0031-9007, 1079-7114, 1079-7114
Online Access:Get full text
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