Experimental demonstration of topological bounds in quantum metrology.

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dc.creatorYu, Min
dc.creatorLi, Xiangbei
dc.creatorChu, Yaoming
dc.creatorMera, Bruno
dc.creatorÜnal, F Nur
dc.creatorYang, Pengcheng
dc.creatorLiu, Yu
dc.creatorGoldman, Nathan
dc.creatorCai, Jianming
dc.date2024-09-19T16:23:37Z
dc.date2024-10
dc.date2023-08-17
dc.date2024-09-19T16:23:36Z
dc.date.accessioned2026-08-03T01:57:49Z
dc.descriptionAcknowledgements: We thank Lijiang Zhang for helpful discussions on quantum multi-parameter estimation, and Shaoliang Zhang for helpful discussions on the quasimomentum.
dc.descriptionFunder: Shanghai Key Laboratory of Magnetic Resonance
dc.descriptionFunder: East China Normal University; doi: https://doi.org/10.13039/501100004106
dc.descriptionFunder: ERC; doi: https://doi.org/10.13039/100010663
dc.descriptionFunder: Royal Society; doi: https://doi.org/10.13039/501100000288
dc.descriptionQuantum metrology is deeply connected to quantum geometry, through the fundamental notion of quantum Fisher information. Inspired by advances in topological matter, it was recently suggested that the Berry curvature and Chern numbers of band structures can dictate strict lower bounds on metrological properties, hence establishing a strong connection between topology and quantum metrology. In this work, we provide a first experimental verification of such topological bounds, by performing optimal quantum multi-parameter estimation and achieving the best possible measurement precision. By emulating the band structure of a Chern insulator, we experimentally determine the metrological potential across a topological phase transition, and demonstrate strong enhancement in the topologically non-trivial regime. Our work opens the door to metrological applications empowered by topology, with potential implications for quantum many-body systems.
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dc.identifier2095-5138
dc.identifiernwae065
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/373894
dc.identifier2053-714X
dc.identifier.urihttps://repo.dare.co.zw/handle/123456789/161941
dc.languageen
dc.languageeng
dc.publisherOxford University Press (OUP)
dc.publisherhttps://doi.org/10.1093/nsr/nwae065
dc.subjectBerry curvature
dc.subjectChern number
dc.subjectmulti-parameter estimation
dc.subjectquantum metrology
dc.subjecttopological bounds
dc.subjecttopological phase transition
dc.titleExperimental demonstration of topological bounds in quantum metrology.
dc.typeArticle

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