Prospects for quantum enhancement with diabatic quantum annealing

EJ Crosson, DA Lidar - Nature Reviews Physics, 2021 - nature.com
Optimization, sampling and machine learning are topics of broad interest that have inspired
significant developments and new approaches in quantum computing. One such approach …

Limitations of optimization algorithms on noisy quantum devices

D Stilck França, R Garcia-Patron - Nature Physics, 2021 - nature.com
Recent successes in producing intermediate-scale quantum devices have focused interest
on establishing whether near-term devices could outperform classical computers for …

Harnessing the power of the second quantum revolution

IH Deutsch - PRX Quantum, 2020 - APS
The second quantum revolution has been built on a foundation of fundamental research at
the intersection of physics and information science, giving rise to the discipline we now call …

Quantum many-body systems in thermal equilibrium

ÁM Alhambra - PRX Quantum, 2023 - APS
The thermal or equilibrium ensemble is one of the most ubiquitous states of matter. For
models comprised of many locally interacting quantum particles, it describes a wide range of …

Improved thermal area law and quasilinear time algorithm for quantum Gibbs states

T Kuwahara, ÁM Alhambra, A Anshu - Physical Review X, 2021 - APS
One of the most fundamental problems in quantum many-body physics is the
characterization of correlations among thermal states. Of particular relevance is the thermal …

Mind the gap: Achieving a super-grover quantum speedup by jumping to the end

AM Dalzell, N Pancotti, ET Campbell… - Proceedings of the 55th …, 2023 - dl.acm.org
We present a quantum algorithm that has rigorous runtime guarantees for several families of
binary optimization problems, including Quadratic Unconstrained Binary Optimization …

Sample-efficient learning of quantum many-body systems

A Anshu, S Arunachalam, T Kuwahara… - 2020 IEEE 61st …, 2020 - ieeexplore.ieee.org
We study the problem of learning the Hamiltonian of a quantum many-body system given
samples from its Gibbs (thermal) state. The classical analog of this problem, known as …

Polynomial-time classical sampling of high-temperature quantum Gibbs states

C Yin, A Lucas - arXiv preprint arXiv:2305.18514, 2023 - arxiv.org
The computational complexity of simulating quantum many-body systems generally scales
exponentially with the number of particles. This enormous computational cost prohibits first …

Continuous-time quantum walks for MAX-CUT are hot

RJ Banks, E Haque, F Nazef, F Fethallah, F Ruqaya… - Quantum, 2024 - quantum-journal.org
By exploiting the link between timeindependent Hamiltonians and thermalisation, heuristic
predictions on the performance of continuous-time quantum walks for MAX-CUT are made …

Spectral estimation for Hamiltonians: a comparison between classical imaginary-time evolution and quantum real-time evolution

ME Stroeks, J Helsen, BM Terhal - New Journal of Physics, 2022 - iopscience.iop.org
We consider the task of spectral estimation of local quantum Hamiltonians. The spectral
estimation is performed by estimating the oscillation frequencies or decay rates of signals …