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arXiv · 2606.13205

Achieving Heisenberg limit under noisy conditions with quantum Zeno dynamics and dynamical decoupling

Ke Zeng·Bakmou Lahcen·Yu Jiang·Kok Chuan Tan
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Abstract

Quantum Zeno dynamics (QZD) and dynamical decoupling (DD) are useful tools that enable the effective suppression of noise in quantum systems. We consider the problem of when (i) noise can be suppressed and (ii) Heisenberg limit (HL) can be achieved in quantum metrology, and prove necessary and sufficient conditions for when QZD and DD are useful for achieving these two goals. We further show this condition can hold even when the Hamiltonian-not-in-Lindblad-span (HNLS) condition fails, allowing QZD/DD to recover Heisenberg scaling beyond what is certified by the usual HNLS-based quantum error correction (QEC) criterion. Finally, we demonstrate that the combination of both techniques can allow individually imperfect QZD and DD strategies to saturate HL.

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Ke Zeng, Bakmou Lahcen, Yu Jiang, Kok Chuan Tan. 2026-06-11. Achieving Heisenberg limit under noisy conditions with quantum Zeno dynamics and dynamical decoupling. https://arxiv.org/abs/2606.13205

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