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

Hossein T. Dinani, Dominic W. Berry, Raul Gonzalez, Jeronimo R. Maze, Cristian Bonato

Research output: Contribution to journalArticlepeer-review

34 Citations (Scopus)
73 Downloads (Pure)


Quantum information protocols, such as quantum error correction and quantum phase estimation, have been widely used to enhance the performance of quantum sensors. While these protocols have relied on single-shot detection, in most practical applications only an averaged readout is available, as in the case of room-temperature sensing with the electron spin associated with a nitrogen-vacancy center in diamond. Here, we theoretically investigate the application of the quantum phase estimation algorithm for high dynamic-range magnetometry, when single-shot readout is not available. We show that, even in this case, Bayesian estimation provides a natural way to efficiently use the available information. We apply Bayesian analysis to achieve an optimized sensing protocol for estimating a time-independent magnetic field with a single electron spin associated to a nitrogen-vacancy center at room temperature and show that this protocol improves the sensitivity over previous protocols by more than a factor of 3. Moreover, we show that an extra enhancement can be achieved by considering the timing information in the detector clicks.
Original languageEnglish
Article number125413
JournalPhysical Review B
Issue number12
Publication statusPublished - 11 Mar 2019

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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