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  Quantum Fisher information measurement and verification of the quantum Cramer-Rao bound in a solid-state qubit

Yu, M., Liu, Y., Yang, P., Gong, M., Cao, Q., Zhang, S., et al. (2022). Quantum Fisher information measurement and verification of the quantum Cramer-Rao bound in a solid-state qubit. npj Quantum Information, 8(1): 56. doi:10.1038/s41534-022-00547-x.

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2003.08373.pdf (Preprint), 3MB
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 Creators:
Yu, Min1, Author
Liu, Yu1, Author
Yang, Pengcheng1, Author
Gong, Musang1, Author
Cao, Qingyun1, Author
Zhang, Shaoliang1, Author
Liu, Haibin1, Author
Heyl, Markus2, Author           
Ozawa, Tomoki1, Author
Goldman, Nathan1, Author
Cai, Jianming1, Author
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1external, ou_persistent22              
2Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288              

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 Abstract: The quantum Cramer-Rao bound sets a fundamental limit on the accuracy of unbiased parameter estimation in quantum systems, relating the uncertainty in determining a parameter to the inverse of the quantum Fisher information. We experimentally demonstrate near saturation of the quantum Cramer-Rao bound in the phase estimation of a solid-state spin system, provided by a nitrogen-vacancy center in diamond. This is achieved by comparing the experimental uncertainty in phase estimation with an independent measurement of the related quantum Fisher information. The latter is independently extracted from coherent dynamical responses of the system under weak parametric modulations, without performing any quantum-state tomography. While optimal parameter estimation has already been observed for quantum devices involving a limited number of degrees of freedom, our method offers a versatile and powerful experimental tool to explore the Cramer-Rao bound and the quantum Fisher information in systems of higher complexity, as relevant for quantum technologies.

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Language(s): eng - English
 Dates: 2022-05-122022-05-12
 Publication Status: Issued
 Pages: -
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 Rev. Type: -
 Identifiers: ISI: 000794894500001
DOI: 10.1038/s41534-022-00547-x
arXiv: 2003.08373
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Title: npj Quantum Information
  Abbreviation : npj Quantum Inf.
Source Genre: Journal
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Publ. Info: Nature Publishing Group
Pages: - Volume / Issue: 8 (1) Sequence Number: 56 Start / End Page: - Identifier: ISSN: 2056-6387
CoNE: https://pure.mpg.de/cone/journals/resource/2056-6387