Robust estimation of the Quantum Fisher Information on a quantum processor

• URL: http://arxiv.org/abs/2307.16882v2
• Date: Wed, 10 Jul 2024 11:43:32 GMT
• Title: Robust estimation of the Quantum Fisher Information on a quantum processor
• Authors: Vittorio Vitale, Aniket Rath, Petar Jurcevic, Andreas Elben, Cyril Branciard, Benoît Vermersch,
• Abstract summary: We present the experimental measurement of a series of lower bounds that converge to the quantum Fisher information (QFI) We estimate the QFI for Greenberg-Horne-Zeilinger states, observing genuine multipartite entanglement. We investigate the interplay between state optimization and noise induced by increasing the circuit depth.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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