Strengths and weaknesses of weak-strong cluster problems: A detailed overview of state-of-the-art classical heuristics versus quantum approaches

S Mandra, Z Zhu, W Wang, A Perdomo-Ortiz… - Physical Review A, 2016 - APS
To date, a conclusive detection of quantum speedup remains elusive. Recently, a team by
Google Inc.[VS Denchev, Phys. Rev. X 6, 031015 (2016) 10.1103/PhysRevX. 6.031015] …

Perspectives of quantum annealing: Methods and implementations

P Hauke, HG Katzgraber, W Lechner… - Reports on Progress …, 2020 - iopscience.iop.org
Quantum annealing is a computing paradigm that has the ambitious goal of efficiently
solving large-scale combinatorial optimization problems of practical importance. However …

QAOA for Max-Cut requires hundreds of qubits for quantum speed-up

GG Guerreschi, AY Matsuura - Scientific reports, 2019 - nature.com
Computational quantum technologies are entering a new phase in which noisy intermediate-
scale quantum computers are available, but are still too small to benefit from active error …

Coherent SAT solvers: a tutorial

S Reifenstein, T Leleu, T McKenna… - Advances in Optics …, 2023 - opg.optica.org
The coherent Ising machine (CIM) is designed to solve the NP-hard Ising problem quickly
and energy efficiently. Boolean satisfiability (SAT) and maximum satisfiability (Max-SAT) are …

What is the computational value of finite-range tunneling?

VS Denchev, S Boixo, SV Isakov, N Ding, R Babbush… - Physical Review X, 2016 - APS
Quantum annealing (QA) has been proposed as a quantum enhanced optimization heuristic
exploiting tunneling. Here, we demonstrate how finite-range tunneling can provide …

Defining and detecting quantum speedup

TF Rønnow, Z Wang, J Job, S Boixo, SV Isakov… - science, 2014 - science.org
The development of small-scale quantum devices raises the question of how to fairly assess
and detect quantum speedup. Here, we show how to define and measure quantum speedup …

Quantum optimization of fully connected spin glasses

D Venturelli, S Mandrà, S Knysh, B O'Gorman… - Physical Review X, 2015 - APS
Many NP-hard problems can be seen as the task of finding a ground state of a disordered
highly connected Ising spin glass. If solutions are sought by means of quantum annealing, it …

Computational multiqubit tunnelling in programmable quantum annealers

S Boixo, VN Smelyanskiy, A Shabani, SV Isakov… - Nature …, 2016 - nature.com
Quantum tunnelling is a phenomenon in which a quantum state traverses energy barriers
higher than the energy of the state itself. Quantum tunnelling has been hypothesized as an …

Error-corrected quantum annealing with hundreds of qubits

KL Pudenz, T Albash, DA Lidar - Nature communications, 2014 - nature.com
Quantum information processing offers dramatic speedups, yet is susceptible to
decoherence, whereby quantum superpositions decay into mutually exclusive classical …

Adiabatic quantum simulation of quantum chemistry

R Babbush, PJ Love, A Aspuru-Guzik - Scientific reports, 2014 - nature.com
We show how to apply the quantum adiabatic algorithm directly to the quantum computation
of molecular properties. We describe a procedure to map electronic structure Hamiltonians …