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Bayesian estimation for quantum sensing in the absence of single-shot detection

MetadataDetails
Publication Date2019-03-11
JournalPhysical review. B./Physical review. B
AuthorsHossein T. Dinani, Dominic W. Berry, R. Contreras, J. R. Maze, Cristian Bonato
InstitutionsMacquarie University, Pontificia Universidad Católica de Chile
Citations49

Quantum information protocols, such as quantum error correction and quantum\nphase estimation, have been widely used to enhance the performance of quantum\nsensors. While these protocols have relied on single-shot detection, in most\npractical applications only an averaged readout is available, as in the case of\nroom-temperature sensing with the electron spin associated with a\nnitrogen-vacancy center in diamond. Here, we theoretically investigate the\napplication of the quantum phase estimation algorithm for high dynamic-range\nmagnetometry, in the case where single-shot readout is not available. We show\nthat, even in this case, Bayesian estimation provides a natural way to use the\navailable information in an efficient way. We apply Bayesian analysis to\nachieve an optimized sensing protocol for estimating a time-independent\nmagnetic field with a single electron spin associated to a nitrogen-vacancy\ncenter at room temperature and show that this protocol improves the sensitivity\nover previous protocols by more than a factor of 3. Moreover, we show that an\nextra enhancement can be achieved by considering the timing information in the\ndetector clicks.\n