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This research establishes rigorous conditions under which Quantum Zeno dynamics and dynamical decoupling can suppress noise to achieve the Heisenberg limit in quantum metrology, even where standard error correction fails. By proving that combining these imperfect strategies saturates this fundamental precision bound, the study offers a critical theoretical pathway for enhancing measurement sensitivity in noisy environments without relying solely on QEC overheads.
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Achieving Heisenberg limit under noisy conditions with quantum Zeno dynamics and dynamical decoupling

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arXiv:2606.13205v1 Announce Type: new 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 also show that in the Markovian regime, there are scenarios where preventing errors using QZD/DD may enable HL to be achieved where current QEC methods may not. Finally, we demonstrate that the combination of both techniques can allow individually imperfect QZD and DD strategies to saturate HL.

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 also show that in the Markovian regime, there are scenarios where preventing errors using QZD/DD may enable HL to be achieved where current QEC methods may not. Finally, we demonstrate that the combination of both techniques can allow individually imperfect QZD and DD strategies to saturate HL.

arXiv:2606.13205 [quant-ph]

(or arXiv:2606.13205v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2606.13205 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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