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 …

Quantum certification and benchmarking

J Eisert, D Hangleiter, N Walk, I Roth… - Nature Reviews …, 2020 - nature.com
With the rapid development of quantum technologies, a pressing need has emerged for a
wide array of tools for the certification and characterization of quantum devices. Such tools …

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 …

Predicting many properties of a quantum system from very few measurements

HY Huang, R Kueng, J Preskill - Nature Physics, 2020 - nature.com
Predicting the properties of complex, large-scale quantum systems is essential for
developing quantum technologies. We present an efficient method for constructing an …

Mixed-state entanglement from local randomized measurements

A Elben, R Kueng, HY Huang, R van Bijnen, C Kokail… - Physical Review Letters, 2020 - APS
We propose a method for detecting bipartite entanglement in a many-body mixed state
based on estimating moments of the partially transposed density matrix. The estimates are …

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 …

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 …

[PDF][PDF] Mitigation of readout noise in near-term quantum devices by classical post-processing based on detector tomography

FB Maciejewski, Z Zimborás, M Oszmaniec - Quantum, 2020 - quantum-journal.org
We propose a simple scheme to reduce readout errors in experiments on quantum systems
with finite number of measurement outcomes. Our method relies on performing classical …

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 …

Robust shadow estimation

S Chen, W Yu, P Zeng, ST Flammia - PRX Quantum, 2021 - APS
Efficiently estimating properties of large and strongly coupled quantum systems is a central
focus in many-body physics and quantum information theory. While quantum computers …