Quantum-inspired algorithms for solving low-rank linear equation systems with logarithmic dependence on the dimension

We present two efficient classical analogues of the quantum matrix inversion algorithm [16] for low-rank matrices. Inspired by recent work of Tang [27], assuming length-square sampling access to input data, we implement the pseudoinverse of a low-rank matrix allowing us to sample from the solution t...

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Bibliographic Details
Main Authors: Chia, NH, Gilyén, A, Lin, HH, Lloyd, S, Tang, E, Wang, C
Other Authors: Massachusetts Institute of Technology. Department of Mechanical Engineering
Format: Article
Language:English
Published: 2022
Online Access:https://hdl.handle.net/1721.1/138872