Quantum algorithm implementations for beginners

A Adedoyin, J Ambrosiano, P Anisimov… - arXiv preprint arXiv …, 2018 - arxiv.org
As quantum computers become available to the general public, the need has arisen to train
a cohort of quantum programmers, many of whom have been developing classical computer …

A rigorous and robust quantum speed-up in supervised machine learning

Y Liu, S Arunachalam, K Temme - Nature Physics, 2021 - nature.com
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 …

Sampling-based sublinear low-rank matrix arithmetic framework for dequantizing quantum machine learning

NH Chia, AP Gilyén, T Li, HH Lin, E Tang, C Wang - Journal of the ACM, 2022 - dl.acm.org
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 …

Quantum principal component analysis only achieves an exponential speedup because of its state preparation assumptions

E Tang - Physical Review Letters, 2021 - APS
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 …

Dequantizing the quantum singular value transformation: hardness and applications to quantum chemistry and the quantum PCP conjecture

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 …

[HTML][HTML] An improved quantum-inspired algorithm for linear regression

A Gilyén, Z Song, E Tang - Quantum, 2022 - quantum-journal.org
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 Review of the Applications of Quantum Machine Learning in Optical Communication Systems

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 …

Implementing any linear combination of unitaries on intermediate-term quantum computers

S Chakraborty - Quantum, 2024 - quantum-journal.org
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 …

An improved classical singular value transformation for quantum machine learning

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 …

Faster quantum-inspired algorithms for solving linear systems

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 …