Improved sensing with a single qubit

Abstract

We consider quantum metrology with arbitrary prior knowledge of the parameter. We demonstrate that a single sensing two-level system can act as a virtual multi-level system that offers increased sensitivity in a Bayesian, single-shot, metrology scenario and that allows one to estimate (arbitrary) large parameter values by avoiding phase wraps. This is achieved by making use of additional degrees of freedom or auxiliary systems not participating in the sensing process. The joint system is manipulated by intermediate control operations in such a way that an effective Hamiltonian, with an arbitrary spectrum, is generated that mimics the spectrum of a multi-level system interacting with the field. We show how to use additional internal degrees of freedom of a single trapped ion to achieve a high-sensitivity magnetic field sensor for fields with arbitrary prior.

arXiv comment8 pages (including appendix) plus 5 figures

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• Optimized mitigation of random-telegraph-noise dephasing by spectator-qubit sensing and control
• Entropic Heisenberg limits and uncertainty relations from the Holevo information bound
• Noisy distributed sensing in the Bayesian regime
• First-principles construction of symmetry-informed quantum metrologies
• Efficient entanglement purification based on noise guessing decoding
• Non-asymptotic quantum metrology
• Measurement-based quantum computing with qudit stabilizer states
• Improved Quantum Sensing by Spectral Design
• Extending the dynamic range in quantum frequency estimation with sequential weak measurements
• Blind quantum computing with different qudit resource state architectures