Robust Estimation of the Quantum Fisher Information on a Quantum Processor
Creators
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1.
Laboratoire de Physique et Modélisation des Milieux Condensés
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2.
IBM Research - Thomas J. Watson Research Center
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3.
California Institute of Technology
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4.
Institut Néel
Abstract
We present the experimental measurement, on a quantum processor, of a series of polynomial lower bounds that 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 regarding drifting errors caused uniquely during the randomized measurement protocol. We estimate the QFI for Greenberger-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 our increasing the circuit depth. Published by the American Physical Society 2024
Copyright and License
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
Acknowledgement
We thank S. Flammia for his valuable comments on our manuscript. Work in Grenoble is funded by the French National Research Agency via the Jeunes Chercheuses 20-CE47-0005), and via the research programs EPIQ (Grant No. ANR-22-PETQ-0007, Plan France 2030), and QUBITAF (Grant No. ANR-22-PETQ-0004, Plan France 2030). B.V. acknowledges funding from the Austrian Science Foundation (FWF; P 32597 N). A.R. acknowledges support by Laboratoire d’excellence LANEF in Grenoble (Grant No. ANR-10-LABX-51-01) and from the Grenoble Nanoscience Foundation. A.E. acknowledges funding by the German National Academy of Sciences Leopoldina
under Grant No. LPDS 2021-02 and by the Walter Burke Institute for Theoretical Physics at Caltech. For some of our numerical simulations, we used the quantum toolbox QuTiP.
Files
PRXQuantum.5.030338.pdf
Additional details
Funding
- Agence Nationale de la Recherche
- ANR-20-CE47-0005
- German National Academy of Sciences Leopoldina
- LPDS 2021-02
- EPIQ
- ANR-22-PETQ-0007
- QUBITAF
- ANR-22-PETQ-0004
- Austrian Science Foundation
- P 32597 N
- Laboratoire d'excellence LANEF in Grenoble
- ANR-10-LABX-51-01
Dates
- Accepted
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2024-07-15Accepted
- Available
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2024-08-21Published online
Caltech Custom Metadata
- Publication Status
- Published