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 …

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 …

[HTML][HTML] Analysing quantum systems with randomised measurements

P Cieśliński, S Imai, J Dziewior, O Gühne, L Knips… - Physics Reports, 2024 - Elsevier
Measurements with randomly chosen settings determine many important properties of
quantum states without the need for a shared reference frame or calibration. They naturally …

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 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 …

Shadow process tomography of quantum channels

J Kunjummen, MC Tran, D Carney, JM Taylor - Physical Review A, 2023 - APS
Quantum process tomography is a critical capability for building quantum computers,
enabling quantum networks, and understanding quantum sensors. Like quantum state …

Toward practical quantum embedding simulation of realistic chemical systems on near-term quantum computers

W Li, Z Huang, C Cao, Y Huang, Z Shuai, X Sun… - Chemical …, 2022 - pubs.rsc.org
Quantum computing has recently exhibited great potential in predicting chemical properties
for various applications in drug discovery, material design, and catalyst optimization …

Overlapped grou** measurement: A unified framework for measuring quantum states

B Wu, J Sun, Q Huang, X Yuan - Quantum, 2023 - quantum-journal.org
Quantum algorithms designed for realistic quantum many-body systems, such as chemistry
and materials, usually require a large number of measurements of the Hamiltonian …

Classical shadows with Pauli-invariant unitary ensembles

K Bu, DE Koh, RJ Garcia, A Jaffe - npj Quantum Information, 2024 - nature.com
Classical shadows provide a noise-resilient and sample-efficient method for learning
quantum system properties, relying on a user-specified unitary ensemble. What is the …