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Enhancing Quantum Metrology by Quantum Resonance Dynamics

Zhixing Zou1,*, Jiangbin Gong1,2,3,†, and Weitao Chen1,2,3,‡

  • *Contact author: zouzx@nus.edu.sg
  • †Contact author: phygj@nus.edu.sg
  • ‡Contact author: chen.weitao@u.nus.edu
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Phys. Rev. Lett. 134, 230802 – Published 11 June, 2025

DOI: https://doi.org/10.1103/lkrt-lvng

Abstract

Quantum effects in metrology can in principle enhance measurement precision from the so-called standard quantum limit to the Heisenberg limit. Further advancements in quantum metrology largely rely on innovative metrology protocols that can avoid a number of known obstacles, including the challenge of preparing entangled states with sufficient fidelity, the readout noise in measuring highly entangled states, and no-go theorems for quantum metrology under noisy environments. In this Letter, exploiting some peculiar but experimentally feasible dynamical features of a collection of spins with all-to-all time-periodic interactions, we propose a metrology protocol that can circumvent all three mentioned obstacles and yet still make good use of time as a resource for metrology. Specifically, by mapping the dynamics of such a periodically driven spin system to that of a paradigm of quantum chaos but tuned to some high-order quantum resonance, it is shown that a simple SU(2) coherent state can, after evolving to highly entangled states in the ensuing dynamics, be dynamically brought back to the same initial coherent state. The associated quantum Fisher information is found to exhibit quadratic scaling with both the number of spins and the duration of the metrology protocol. The achieved Heisenberg scaling can also largely survive in the presence of Markovian noise. Representing a previously unknown strategy for quantum metrology, the protocol proposed here can be tested on available experimental platforms.

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Phys. Rev. Lett. 134, 230802– Published 11 June, 2025
  • Received 10 February 2025
  • Revised 25 April 2025
  • Accepted 28 May 2025
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