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 (Author), Gilyén, A (Author), Lin, HH (Author), Lloyd, S (Author), Tang, E (Author), Wang, C (Author)
Format: Article
Language:English
Published: 2022-01-11T15:24:12Z.
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