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 …

Entanglement Hamiltonians: from field theory to lattice models and experiments

M Dalmonte, V Eisler, M Falconi… - Annalen der …, 2022 - Wiley Online Library
Results about entanglement (or modular) Hamiltonians of quantum many‐body systems in
field theory and statistical mechanics models, and recent applications in the context of …

Observing the quantum Mpemba effect in quantum simulations

LK Joshi, J Franke, A Rath, F Ares, S Murciano… - Physical Review Letters, 2024 - APS
The nonequilibrium physics of many-body quantum systems harbors various unconventional
phenomena. In this Letter, we experimentally investigate one of the most puzzling of these …

Measurement-induced quantum phases realized in a trapped-ion quantum computer

C Noel, P Niroula, D Zhu, A Risinger, L Egan… - Nature Physics, 2022 - nature.com
Many-body open quantum systems balance internal dynamics against decoherence and
measurements induced by interactions with an environment,. Quantum circuits composed 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 …

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 …

Symmetry-resolved entanglement detection using partial transpose moments

A Neven, J Carrasco, V Vitale, C Kokail… - npj Quantum …, 2021 - nature.com
We propose an ordered set of experimentally accessible conditions for detecting
entanglement in mixed states. The k-th condition involves comparing moments of the …

Nonequilibrium full counting statistics and symmetry-resolved entanglement from space-time duality

B Bertini, P Calabrese, M Collura, K Klobas… - Physical Review Letters, 2023 - APS
Owing to its probabilistic nature, a measurement process in quantum mechanics produces a
distribution of possible outcomes. This distribution—or its Fourier transform known as full …

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 decomposition of negativity of massless free fermions

S Murciano, R Bonsignori, P Calabrese - SciPost Physics, 2021 - scipost.org
We consider the problem of symmetry decomposition of the entanglement negativity in free
fermionic systems. Rather than performing the standard partial transpose, we use the partial …