Experimental demonstration of topological bounds in quantum metrology.
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Oxford University Press (OUP)
https://doi.org/10.1093/nsr/nwae065
https://doi.org/10.1093/nsr/nwae065
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Acknowledgements: We thank Lijiang Zhang for helpful discussions on quantum multi-parameter estimation, and Shaoliang Zhang for helpful discussions on the quasimomentum.
Funder: Shanghai Key Laboratory of Magnetic Resonance
Funder: East China Normal University; doi: https://doi.org/10.13039/501100004106
Funder: ERC; doi: https://doi.org/10.13039/100010663
Funder: Royal Society; doi: https://doi.org/10.13039/501100000288
Quantum 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.
Funder: Shanghai Key Laboratory of Magnetic Resonance
Funder: East China Normal University; doi: https://doi.org/10.13039/501100004106
Funder: ERC; doi: https://doi.org/10.13039/100010663
Funder: Royal Society; doi: https://doi.org/10.13039/501100000288
Quantum 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.