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Bibliographic Details
Main Authors: Vitale, Vittorio, Rath, Aniket, Jurcevic, Petar, Elben, Andreas, Branciard, Cyril, Vermersch, Benoît
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2307.16882
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author Vitale, Vittorio
Rath, Aniket
Jurcevic, Petar
Elben, Andreas
Branciard, Cyril
Vermersch, Benoît
author_facet Vitale, Vittorio
Rath, Aniket
Jurcevic, Petar
Elben, Andreas
Branciard, Cyril
Vermersch, Benoît
contents We present the experimental measurement, on a quantum processor, of a series of polynomial lower bounds that converge to the quantum Fisher information (QFI), a fundamental quantity for certifying multipartite entanglement that is useful for metrological applications. We combine advanced methods of the randomized measurement toolbox to obtain estimators that are robust against drifting errors caused uniquely during the randomized measurement protocol. We estimate the QFI for Greenberg-Horne-Zeilinger states, observing genuine multipartite entanglement. Then, we prepare the ground state of the transverse field Ising model at the critical point using a variational circuit. We estimate its QFI and investigate the interplay between state optimization and noise induced by increasing the circuit depth.
format Preprint
id arxiv_https___arxiv_org_abs_2307_16882
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Robust estimation of the Quantum Fisher Information on a quantum processor
Vitale, Vittorio
Rath, Aniket
Jurcevic, Petar
Elben, Andreas
Branciard, Cyril
Vermersch, Benoît
Quantum Physics
We present the experimental measurement, on a quantum processor, of a series of polynomial lower bounds that converge to the quantum Fisher information (QFI), a fundamental quantity for certifying multipartite entanglement that is useful for metrological applications. We combine advanced methods of the randomized measurement toolbox to obtain estimators that are robust against drifting errors caused uniquely during the randomized measurement protocol. We estimate the QFI for Greenberg-Horne-Zeilinger states, observing genuine multipartite entanglement. Then, we prepare the ground state of the transverse field Ising model at the critical point using a variational circuit. We estimate its QFI and investigate the interplay between state optimization and noise induced by increasing the circuit depth.
title Robust estimation of the Quantum Fisher Information on a quantum processor
topic Quantum Physics
url https://arxiv.org/abs/2307.16882