Measuring full counting statistics in a trapped-ion quantum simulator
Abstract
In quantum mechanics, the probability distribution function (PDF) and full counting statistics (FCS) play a fundamental role in characterizing the fluctuations of quantum observables, as they encode the complete information about these fluctuations. In this letter, we measure these two quantities in a trapped-ion quantum simulator for the transverse and longitudinal magnetization within a subsystem. We utilize the toolbox of classical shadows to postprocess the measurements performed in random bases. The measurement scheme efficiently allows access to the FCS and PDF of all possible operators on desired choices of subsystems of an extended quantum system.
Cite
@article{arxiv.2501.14424,
title = {Measuring full counting statistics in a trapped-ion quantum simulator},
author = {Lata Kh Joshi and Filiberto Ares and Manoj K. Joshi and Christian F. Roos and Pasquale Calabrese},
journal= {arXiv preprint arXiv:2501.14424},
year = {2025}
}
Comments
11 pages with references, 11 figures, new figure on generation of random unitaries added. Paper title changed to include the simulation platform 'trapped-ion'. Presentation improved throughout. Published version