[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 …

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 …

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 …

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 …

Optimizing shadow tomography with generalized measurements

HC Nguyen, JL Bönsel, J Steinberg, O Gühne - Physical Review Letters, 2022 - APS
Advances in quantum technology require scalable techniques to efficiently extract
information from a quantum system. Traditional tomography is limited to a handful of qubits …

[HTML][HTML] Classical shadows with noise

DE Koh, S Grewal - Quantum, 2022 - quantum-journal.org
The classical shadows protocol, recently introduced by Huang, Kueng, and Preskill [Nat.
Phys. 16, 1050 (2020)], is a quantum-classical protocol to estimate properties of an unknown …

Classical shadow tomography with locally scrambled quantum dynamics

HY Hu, S Choi, YZ You - Physical Review Research, 2023 - APS
We generalize the classical shadow tomography scheme to a broad class of finite-depth or
finite-time local unitary ensembles, known as locally scrambled quantum dynamics, where …

Scalable and flexible classical shadow tomography with tensor networks

AA Akhtar, HY Hu, YZ You - Quantum, 2023 - quantum-journal.org
Classical shadow tomography is a powerful randomized measurement protocol for
predicting many properties of a quantum state with few measurements. Two classical …

Classical shadows for quantum process tomography on near-term quantum computers

R Levy, D Luo, BK Clark - Physical Review Research, 2024 - APS
Quantum process tomography is a powerful tool for understanding quantum channels and
characterizing the properties of quantum devices. Inspired by recent advances using …