We present a toolbox to probe quantum many-body states implemented on Rydberg-atoms quantum hardware via randomized measurements. We illustrate the efficacy of this measurement toolbox in the context of probing entanglement, via the estimation of the purity, and of verifying a ground-state preparation using measurements of the Hamiltonian variance. To achieve this goal, we develop and discuss in detail a protocol to realize independent, local unitary rotations. We benchmark the protocol by investigating the ground state of the one-dimensional SSH model, recently realized on a chain of Rydberg atom, and the state resulting after a sudden quench in a staggered XY chain. We probe the robustness of our toolbox by taking into account experimental imperfections, such as pulse fluctuations and measurement errors.
@article{arxiv.2112.11046,
title = {A randomized measurement toolbox for an interacting Rydberg-atom quantum simulator},
author = {Simone Notarnicola and Andreas Elben and Thierry Lahaye and Antoine Browaeys and Simone Montangero and Benoit Vermersch},
journal= {arXiv preprint arXiv:2112.11046},
year = {2024}
}