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Quantum Algorithms from Foundations to Applications

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Publications

A deterministic Kaczmarz algorithm for solving linear systems

Author(s): Shao, Changpeng
Published in: 2021
Publisher: Preprint

Solving the Hubbard model using density matrix embedding theory and the variational quantum eigensolver

Author(s): Lana Mineh and Ashley Montanaro
Published in: 2021
Publisher: Preprint

Quantum algorithms for learning a hidden graph and beyond

Author(s): Ashley Montanaro and Changpeng Shao
Published in: 2020
Publisher: Preprint

Probing ground state properties of the kagome antiferromagnetic Heisenberg model using the Variational Quantum Eigensolver

Author(s): Bosse, Jan Lukas; Montanaro, Ashley
Published in: 2021
Publisher: Preprint

Faster quantum-inspired algorithms for solving linear systems

Author(s): Shao, Changpeng; Montanaro, Ashley
Published in: 2021
Publisher: Preprint

Quantum vs. classical algorithms for solving the heat equation

Author(s): Linden, Noah; Montanaro, Ashley; Shao, Changpeng
Published in: 2021
Publisher: Preprint

Predicting parameters for the Quantum Approximate Optimization Algorithm for MAX-CUT from the infinite-size limit

Author(s): Sami Boulebnane and Ashley Montanaro
Published in: 2021
Publisher: Preprint

Pretty simple bounds on quantum state discrimination

Author(s): Montanaro, Ashley
Published in: 2019
Publisher: Preprint

Simpler (classical) and faster (quantum) algorithms for Gibbs partition functions

Author(s): Arunachalam, Srinivasan; Havlicek, Vojtech; Nannicini, Giacomo; Temme, Kristan; Wocjan, Pawel
Published in: 2021 IEEE International Conference on Quantum Computing and Engineering (QCE), 2021, 2021
Publisher: IEEE
DOI: 10.1109/qce52317.2021.00027

Exponential Quantum Communication Reductions from Generalizations of the Boolean Hidden Matching Problem

Author(s): Doriguello, João F.; Montanaro, Ashley
Published in: Proceedings of the 15th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2020), 1, 2020
Publisher: Leibniz-Zentrum fur Informatik
DOI: 10.4230/lipics.tqc.2020.1

Quantum Random Access Codes for Boolean Functions

Author(s): João F. Doriguello; Ashley Montanaro
Published in: Quantum, 5, 2021, Page(s) 402, ISSN 2521-327X
Publisher: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
DOI: 10.22331/q-2021-03-07-402

Quantum-accelerated multilevel Monte Carlo methods for stochastic differential equations in mathematical finance

Author(s): Dong An; Noah Linden; Jin-Peng Liu; Ashley Montanaro; Changpeng Shao; Jiasu Wang
Published in: Quantum, 5, 2021, Page(s) 481, ISSN 2521-327X
Publisher: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
DOI: 10.22331/q-2021-06-24-481

Universal Qudit Hamiltonians

Author(s): Stephen Piddock and Ashley Montanaro
Published in: Communications in Mathematical Physics, 382, 2021, Page(s) 721–771, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-021-03940-3

Quantum speedups of some general-purpose numerical optimisation algorithms

Author(s): Cezar-Mihail Alexandru, Ella Bridgett-Tomkinson, Noah Linden, Joseph MacManus, Ashley Montanaro, Hannah Morris
Published in: Quantum Science and Technology, 5/4, 2020, Page(s) 045014, ISSN 2058-9565
Publisher: IOP
DOI: 10.1088/2058-9565/abb003

Quantum speedup of branch-and-bound algorithms

Author(s): Ashley Montanaro
Published in: Physical Review Research, 2/1, 2020, ISSN 2643-1564
Publisher: American Physical Society
DOI: 10.1103/physrevresearch.2.013056