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

Abstract

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, in the case where single-shot readout is not available. We show that, even in this case, Bayesian estimation provides a natural way to use the available information in an efficient way. 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.

arXiv comment7 pages + 2 pages supplementary, 5 figures, In the updated version we have added updating the probability after every single measurement. Comments are welcome

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Cited by in corpus (33)

• Learning Quantum Systems
• Learning models of quantum systems from experiments
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• Magnetic-field-learning using a single electronic spin in diamond with one-photon-readout at room temperature
• Robust calibration of multiparameter sensors via machine learning at the single-photon level
• Machine-learning-assisted electron-spin readout of nitrogen-vacancy center in diamond
• Ground-State Cooling of Levitated Magnets in Low-Frequency Traps
• Simplified algorithms for adaptive experiment design in parameter estimation
• Extending qubit coherence by adaptive quantum environment learning
• Resource-efficient adaptive Bayesian tracking of magnetic fields with a quantum sensor
• Generalized figure of merit for qubit readout
• Atomic clock locking with Bayesian quantum parameter estimation: scheme and experiment
• Dynamical quantum phase transition in diamond: applications in quantum metrology
• Real-time adaptive estimation of decoherence timescales for a single qubit
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• Physics-informed tracking of qubit fluctuations
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• Mutual Information Bounded by Fisher Information
• Enhancing qubit readout with Bayesian Learning
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• Wavelet-based Ramsey magnetometry enhancement of a single NV center in diamond
• Channel-based framework for phase esimation of multiple eigenvalues
• Topological Sensing in the Dynamics of Quantum Walks with Defects
• Bayesian mitigation of measurement errors in multiqubit experiments
• Bayesian phase estimation with adaptive grid refinement
• Sequential Bayesian experiment design for adaptive Ramsey sequence measurements
• Quantum process matrices as images: new tools to design novel denoising methods
• Adaptive Bayesian algorithm for achieving desired quantum transition