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 …

Probing quantum correlations in many-body systems: a review of scalable methods

I Frérot, M Fadel, M Lewenstein - Reports on Progress in Physics, 2023 - iopscience.iop.org
In both classical and quantum many-body physics, it is a core issue to characterize statistical
correlations among different degrees of freedom. From this point of view, a natural question …

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 …

Theory for equivariant quantum neural networks

QT Nguyen, L Schatzki, P Braccia, M Ragone, PJ Coles… - PRX Quantum, 2024 - APS
Quantum neural network architectures that have little to no inductive biases are known to
face trainability and generalization issues. Inspired by a similar problem, recent …

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 …

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 …

Probing many-body quantum chaos with quantum simulators

LK Joshi, A Elben, A Vikram, B Vermersch, V Galitski… - Physical Review X, 2022 - APS
The spectral form factor (SFF), characterizing statistics of energy eigenvalues, is a key
diagnostic of many-body quantum chaos. In addition, partial spectral form factors (PSFFs) …

Symmetry-resolved dynamical purification in synthetic quantum matter

V Vitale, A Elben, R Kueng, A Neven, J Carrasco… - SciPost Physics, 2022 - scipost.org
When a quantum system initialized in a product state is subjected to either coherent or
incoherent dynamics, the entropy of any of its connected partitions generically increases as …

Shadow distillation: Quantum error mitigation with classical shadows for near-term quantum processors

A Seif, ZP Cian, S Zhou, S Chen, L Jiang - PRX Quantum, 2023 - APS
Mitigating errors in quantum information processing devices is especially important in the
absence of fault tolerance. An effective method in suppressing state-preparation errors is …

Temporal entanglement in chaotic quantum circuits

A Foligno, T Zhou, B Bertini - Physical Review X, 2023 - APS
The concept of space evolution (or space-time duality) has emerged as a promising
approach for studying quantum dynamics. The basic idea involves exchanging the roles of …