Recently, several quantum machine learning algorithms have been proposed that may offer quantum speed-ups over their classical counterparts. Most of these algorithms are either …
We present an algorithmic framework for quantum-inspired classical algorithms on close-to- low-rank matrices, generalizing the series of results started by Tang's breakthrough quantum …
A central roadblock to analyzing quantum algorithms on quantum states is the lack of a comparable input model for classical algorithms. Inspired by recent work of the author [E …
S Gharibian, F Le Gall - Proceedings of the 54th Annual ACM SIGACT …, 2022 - dl.acm.org
The Quantum Singular Value Transformation (QSVT) is a recent technique that gives a unified framework to describe most quantum algorithms discovered so far, and may lead to …
We give a classical algorithm for linear regression analogous to the quantum matrix inversion algorithm [Harrow, Hassidim, and Lloyd, Physical Review Letters' 09] for low-rank …
A Modi, AV Jasso, R Ferrara, C Deppe… - … Wireless 2023; 28th …, 2023 - ieeexplore.ieee.org
In the context of optical signal processing, quantum and quantum-inspired machine learning algorithms have massive potential for deployment. One of the applications is in error …
We develop three new methods to implement any Linear Combination of Unitaries (LCU), a powerful quantum algorithmic tool with diverse applications. While the standard LCU …
A Bakshi, E Tang - Proceedings of the 2024 Annual ACM-SIAM …, 2024 - SIAM
The field of quantum machine learning (QML) produces many proposals for attaining quantum speedups for tasks in machine learning and data analysis. Such speedups can …
C Shao, A Montanaro - ACM Transactions on Quantum Computing, 2022 - dl.acm.org
We establish an improved classical algorithm for solving linear systems in a model analogous to the QRAM that is used by quantum linear solvers. Precisely, for the linear …