Multiparameter quantum metrology and mode entanglement with spatially split nonclassical spin states

• URL: http://arxiv.org/abs/2201.11081v1
• Date: Wed, 26 Jan 2022 17:41:50 GMT
• Title: Multiparameter quantum metrology and mode entanglement with spatially split nonclassical spin states
• Authors: Matteo Fadel, Benjamin Yadin, Yuping Mao, Tim Byrnes, Manuel Gessner
• Abstract summary: We study the sensitivity of split nonclassical spin states spatially distributed into several addressable modes. Our results highlight the advantage of mode entanglement for distributed sensing.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We identify the multiparameter sensitivity of split nonclassical spin states, such as spin-squeezed and Dicke states spatially distributed into several addressable modes. Analytical expressions for the spin-squeezing matrix of a family of states that are accessible by current atomic experiments reveal the quantum gain in multiparameter metrology, as well as the optimal strategies to maximize the sensitivity. We further study the mode entanglement of these states by deriving a witness for genuine $k$-partite mode entanglement from the spin-squeezing matrix. Our results highlight the advantage of mode entanglement for distributed sensing, and outline optimal protocols for multiparameter estimation with nonclassical spatially-distributed spin ensembles.

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