Quantum algorithms: an overview

A Montanaro - npj Quantum Information, 2016 - nature.com
Quantum computers are designed to outperform standard computers by running quantum
algorithms. Areas in which quantum algorithms can be applied include cryptography, search …

Adiabatic quantum computation

T Albash, DA Lidar - Reviews of Modern Physics, 2018 - APS
Adiabatic quantum computing (AQC) started as an approach to solving optimization
problems and has evolved into an important universal alternative to the standard circuit …

Counterdiabatic optimized local driving

I Čepaitė, A Polkovnikov, AJ Daley, CW Duncan - PRX Quantum, 2023 - APS
Adiabatic protocols are employed across a variety of quantum technologies, from
implementing state preparation and individual operations that are building blocks of larger …

Anderson localization makes adiabatic quantum optimization fail

B Altshuler, H Krovi, J Roland - Proceedings of the National …, 2010 - National Acad Sciences
Understanding NP-complete problems is a central topic in computer science (NP stands for
nondeterministic polynomial time). This is why adiabatic quantum optimization has attracted …

Opportunities and challenges of quantum computing for engineering optimization

Y Wang, JE Kim, K Suresh - … of Computing and …, 2023 - asmedigitalcollection.asme.org
Quantum computing as the emerging paradigm for scientific computing has attracted
significant research attention in the past decade. Quantum algorithms to solve the problems …

Domain wall encoding of discrete variables for quantum annealing and QAOA

N Chancellor - Quantum Science and Technology, 2019 - iopscience.iop.org
In this paper I propose a new method of encoding discrete variables into Ising model qubits
for quantum optimisation. The new method is based on the physics of domain walls in one …

The quantum adiabatic algorithm applied to random optimization problems: The quantum spin glass perspective

V Bapst, L Foini, F Krzakala, G Semerjian, F Zamponi - Physics Reports, 2013 - Elsevier
Among various algorithms designed to exploit the specific properties of quantum computers
with respect to classical ones, the quantum adiabatic algorithm is a versatile proposition to …

Counterdiabatic optimized driving in quantum phase sensitive models

FP Barone, O Kiss, M Grossi, S Vallecorsa… - New Journal of …, 2024 - iopscience.iop.org
State preparation plays a pivotal role in numerous quantum algorithms, including quantum
phase estimation. This paper extends and benchmarks counterdiabatic driving protocols …

Quantum variational optimization: The role of entanglement and problem hardness

P Díez-Valle, D Porras, JJ García-Ripoll - Physical Review A, 2021 - APS
Quantum variational optimization has been posed as an alternative to solve optimization
problems faster and at a larger scale than what classical methods allow. In this paper we …

Performance of the quantum adiabatic algorithm on random instances of two optimization problems on regular hypergraphs

E Farhi, D Gosset, I Hen, AW Sandvik, P Shor… - Physical Review A …, 2012 - APS
In this paper we study the performance of the quantum adiabatic algorithm on random
instances of two combinatorial optimization problems, 3-regular 3-XORSAT and 3-regular …