[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 …

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 …

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 …

Efficient estimation of pauli observables by derandomization

HY Huang, R Kueng, J Preskill - Physical review letters, 2021 - APS
We consider the problem of jointly estimating expectation values of many Pauli observables,
a crucial subroutine in variational quantum algorithms. Starting with randomized …

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 …

Introduction to Haar Measure Tools in Quantum Information: A Beginner's Tutorial

AA Mele - Quantum, 2024 - quantum-journal.org
The Haar measure plays a vital role in quantum information, but its study often requires a
deep understanding of representation theory, posing a challenge for beginners. This tutorial …

Learning to predict arbitrary quantum processes

HY Huang, S Chen, J Preskill - PRX Quantum, 2023 - APS
We present an efficient machine-learning (ML) algorithm for predicting any unknown
quantum process E over n qubits. For a wide range of distributions D on arbitrary n-qubit …

Entanglement barrier and its symmetry resolution: Theory and experimental observation

A Rath, V Vitale, S Murciano, M Votto, J Dubail… - PRX Quantum, 2023 - APS
The operator entanglement (OE) is a key quantifier of the complexity of a reduced density
matrix. In out-of-equilibrium situations, eg, after a quantum quench of a product state, it is …