Achieving Heisenberg limit under noisy conditions with quantum Zeno dynamics and dynamical decoupling
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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BibTeX
@misc{zeng2026achieving,
title = {{Achieving Heisenberg limit under noisy conditions with quantum Zeno dynamics and dynamical decoupling}},
author = {Ke Zeng and Bakmou Lahcen and Yu Jiang and Kok Chuan Tan},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2606.13205},
eprint = {2606.13205},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.13205},
}
RIS
TY - UNPB
TI - Achieving Heisenberg limit under noisy conditions with quantum Zeno dynamics and dynamical decoupling
AU - Ke Zeng
AU - Bakmou Lahcen
AU - Yu Jiang
AU - Kok Chuan Tan
PY - 2026
DA - 2026/08/31
PB - arXiv
DO - 10.48550/arxiv.2606.13205
UR - https://arxiv.org/abs/2606.13205
AB - 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.
ER -