Quantum singular-value decomposition of nonsparse low-rank matrices

We present a method to exponentiate nonsparse indefinite low-rank matrices on a quantum computer. Given access to the elements of the matrix, our method allows one to determine the singular values and their associated singular vectors in time exponentially faster in the dimension of the matrix than...

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Bibliographic Details
Main Authors: Rebentrost, Frank, Steffens, Adrian, Marvian Mashhad, Iman, Lloyd, Seth
Other Authors: Massachusetts Institute of Technology. Department of Mechanical Engineering
Format: Article
Language:English
Published: American Physical Society 2018
Online Access:http://hdl.handle.net/1721.1/114453
https://orcid.org/0000-0002-6728-8163