IQI Special Seminar

With the goal of efficiently estimating specific errors using minimal resources, we develop a parameter estimation technique, which can gauge two key parameters (amplitude and off-resonance errors) in a single-qubit gate with provable robustness and efficiency. In particular, our estimates achieve the optimal efficiency, Heisenberg scaling. Our scheme is robust to state preparation and measurement errors and uncertainty, and requires few resources, in terms of additional gates needed to implement the protocol. Our main theorem making this possible is a robust version of the phase estimation procedure of Higgins et al. [Higgins et al., New J. Phys, 11(7):073023, 2009].