[HTML][HTML] The variational quantum eigensolver: a review of methods and best practices

J Tilly, H Chen, S Cao, D Picozzi, K Setia, Y Li, E Grant… - Physics Reports, 2022 - Elsevier
The variational quantum eigensolver (or VQE), first developed by Peruzzo et al.(2014), has
received significant attention from the research community in recent years. It uses the …

The randomized measurement toolbox

A Elben, ST Flammia, HY Huang, R Kueng… - Nature Reviews …, 2023 - nature.com
Programmable quantum simulators and quantum computers are opening unprecedented
opportunities for exploring and exploiting the properties of highly entangled complex …

Provably efficient machine learning for quantum many-body problems

HY Huang, R Kueng, G Torlai, VV Albert, J Preskill - Science, 2022 - science.org
Classical machine learning (ML) provides a potentially powerful approach to solving
challenging quantum many-body problems in physics and chemistry. However, the …

Learning quantum systems

V Gebhart, R Santagati, AA Gentile, EM Gauger… - Nature Reviews …, 2023 - nature.com
The future development of quantum technologies relies on creating and manipulating
quantum systems of increasing complexity, with key applications in computation, simulation …

Unbiasing fermionic quantum Monte Carlo with a quantum computer

WJ Huggins, BA O'Gorman, NC Rubin, DR Reichman… - Nature, 2022 - nature.com
Interacting many-electron problems pose some of the greatest computational challenges in
science, with essential applications across many fields. The solutions to these problems will …

Avoiding barren plateaus using classical shadows

SH Sack, RA Medina, AA Michailidis, R Kueng… - PRX Quantum, 2022 - APS
Variational quantum algorithms are promising algorithms for achieving quantum advantage
on near-term devices. The quantum hardware is used to implement a variational wave …

Quantum-centric supercomputing for materials science: A perspective on challenges and future directions

Y Alexeev, M Amsler, MA Barroca, S Bassini… - Future Generation …, 2024 - Elsevier
Computational models are an essential tool for the design, characterization, and discovery
of novel materials. Computationally hard tasks in materials science stretch the limits of …

Shallow shadows: Expectation estimation using low-depth random Clifford circuits

C Bertoni, J Haferkamp, M Hinsche, M Ioannou… - Physical Review Letters, 2024 - APS
We provide practical and powerful schemes for learning properties of a quantum state using
a small number of measurements. Specifically, we present a randomized measurement …

Exponential separations between learning with and without quantum memory

S Chen, J Cotler, HY Huang, J Li - 2021 IEEE 62nd Annual …, 2022 - ieeexplore.ieee.org
We study the power of quantum memory for learning properties of quantum systems and
dynamics, which is of great importance in physics and chemistry. Many state-of-the-art …

Near-term quantum computing techniques: Variational quantum algorithms, error mitigation, circuit compilation, benchmarking and classical simulation

HL Huang, XY Xu, C Guo, G Tian, SJ Wei… - Science China Physics …, 2023 - Springer
Quantum computing is a game-changing technology for global academia, research centers
and industries including computational science, mathematics, finance, pharmaceutical …