Sequential Feedback Scheme Outperforms the Parallel Scheme for Hamiltonian Parameter Estimation

Haidong Yuan
Phys. Rev. Lett. 117, 160801 – Published 11 October 2016
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Abstract

Measurement and estimation of parameters are essential for science and engineering, where the main quest is to find the highest achievable precision with the given resources and design schemes to attain it. Two schemes, the sequential feedback scheme and the parallel scheme, are usually studied in the quantum parameter estimation. While the sequential feedback scheme represents the most general scheme, it remains unknown whether it can outperform the parallel scheme for any quantum estimation tasks. In this Letter, we show that the sequential feedback scheme has a threefold improvement over the parallel scheme for Hamiltonian parameter estimations on two-dimensional systems, and an order of O(d+1) improvement for Hamiltonian parameter estimation on d-dimensional systems. We also show that, contrary to the conventional belief, it is possible to simultaneously achieve the highest precision for estimating all three components of a magnetic field, which sets a benchmark on the local precision limit for the estimation of a magnetic field.

  • Figure
  • Received 27 January 2016

DOI:https://doi.org/10.1103/PhysRevLett.117.160801

© 2016 American Physical Society

Physics Subject Headings (PhySH)

General Physics

Authors & Affiliations

Haidong Yuan*

  • Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Shatin, Hong Kong

  • *hdyuan@mae.cuhk.edu.hk

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Issue

Vol. 117, Iss. 16 — 14 October 2016

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