Upper bounds on the quantum Fisher Information in the presence of\n general dephasing

2014/03/04 by Katarzyna Macieszczak, Macieszczak, Katarzyna
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Neural Networks and Reservoir Computing #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.1403.0955

openalex publication_date 2014/03/04 · openalex created_date 2022/08/28 · openalex updated_date 2026/07/28

Abstract

We derive upper bounds on the quantum Fisher information in interferometry\nwith N subsystems, e.g. two-level atoms or Gaussian modes, in the presence of\narbitrarily correlated Gaussian dephasing including independent and collective\ndephasing. The derived upper bound enables us to analyse the Fisher information\nasymptotic behaviour when N\→\∞. Dephasing introduces random\nphases to subsystems dynamics, which lowers the precision of estimating the\nphase difference \φ in an interferometer. The method presented uses\nBayesian estimation of the random phases and eliminates dephasing noise by\ncalculating their weighted arithmetic mean, which correponds to the phase\n\φ estimated in interferometry.\n

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