Learning to Restore Heisenberg Limit in Noisy Quantum Sensing via Quantum Digital Twin

Fuente: arXiv
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Autori principali: Xu, Hang, Xiao, Tailong, Huang, Jingzheng, Fan, Jianping, Zeng, Guihua
Natura: Preprint
Pubblicazione: 2025
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author Xu, Hang
Xiao, Tailong
Huang, Jingzheng
Fan, Jianping
Zeng, Guihua
author_facet Xu, Hang
Xiao, Tailong
Huang, Jingzheng
Fan, Jianping
Zeng, Guihua
contents Quantum sensors leverage nonclassical resources to achieve sensing precision at the Heisenberg limit, surpassing the standard quantum limit attainable through classical strategies. However, a critical issue is that the environmental noise induces rapid decoherence, fundamentally limiting the realizability of the Heisenberg limit. In this Letter, we propose a quantum digital twin protocol to overcome this issue. The protocol first establishes observable-constrained state reconstruction to infer random errors in the decoherence process, and then utilizes reinforcement learning to derive adaptive compensatory control strategies. Demonstrated across discrete, continuous variable and multi-qubit circuit systems, our approach bypasses quantum state tomography's exponential overhead and discovers optimal control schemes to restore the Heisenberg limit. Unlike quantum error correction or mitigation schemes requiring precise noise characterization and ancillary qubits, our autonomous protocol achieves noise-resilient sensing through environment-adaptive control sequencing. This work establishes quantum digital twin as a generic methodology for quantum control, proposing a noise-immune paradigm for next-generation quantum sensors compatible with NISQ-era experimental constraints.
format Preprint
id arxiv_https___arxiv_org_abs_2508_11198
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Learning to Restore Heisenberg Limit in Noisy Quantum Sensing via Quantum Digital Twin
Xu, Hang
Xiao, Tailong
Huang, Jingzheng
Fan, Jianping
Zeng, Guihua
Quantum Physics
Quantum sensors leverage nonclassical resources to achieve sensing precision at the Heisenberg limit, surpassing the standard quantum limit attainable through classical strategies. However, a critical issue is that the environmental noise induces rapid decoherence, fundamentally limiting the realizability of the Heisenberg limit. In this Letter, we propose a quantum digital twin protocol to overcome this issue. The protocol first establishes observable-constrained state reconstruction to infer random errors in the decoherence process, and then utilizes reinforcement learning to derive adaptive compensatory control strategies. Demonstrated across discrete, continuous variable and multi-qubit circuit systems, our approach bypasses quantum state tomography's exponential overhead and discovers optimal control schemes to restore the Heisenberg limit. Unlike quantum error correction or mitigation schemes requiring precise noise characterization and ancillary qubits, our autonomous protocol achieves noise-resilient sensing through environment-adaptive control sequencing. This work establishes quantum digital twin as a generic methodology for quantum control, proposing a noise-immune paradigm for next-generation quantum sensors compatible with NISQ-era experimental constraints.
title Learning to Restore Heisenberg Limit in Noisy Quantum Sensing via Quantum Digital Twin
topic Quantum Physics
url https://arxiv.org/abs/2508.11198