Error-mitigated quantum metrology via enhanced virtual purification

Fuente: arXiv
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Hauptverfasser: Lin, Xiaodie, Yuan, Haidong
Format: Preprint
Veröffentlicht: 2025
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author Lin, Xiaodie
Yuan, Haidong
author_facet Lin, Xiaodie
Yuan, Haidong
contents Quantum metrology stands as a leading application of quantum science and technology, yet noise often constrains its precision and sensitivity. In near-term quantum metrology, existing protocols largely depend on virtual state purification, but significant noise accumulation and additional noise from the implementations of these protocols can impede their effectiveness. We propose enhanced virtual channel purification to address these problems, yielding enhanced virtual state purification as a by-product. Within sequential quantum metrology schemes, our error analysis reveals substantial bias reduction and quantum advantages in sampling cost when the number of encoding channels is ${\mathcal{O}}(p^{-1})$, where $p$ represents the error rate of encoding channels. In this range, our methods demonstrate significant improvements in parameter estimation precision and robustness against practical noise, as evidenced by numerical simulations for both single- and multi-parameter tasks. Particularly, these methods can naturally extend beyond quantum metrology, indicating their broad applicability in quantum information and quantum computation.
format Preprint
id arxiv_https___arxiv_org_abs_2506_07618
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Error-mitigated quantum metrology via enhanced virtual purification
Lin, Xiaodie
Yuan, Haidong
Quantum Physics
Quantum metrology stands as a leading application of quantum science and technology, yet noise often constrains its precision and sensitivity. In near-term quantum metrology, existing protocols largely depend on virtual state purification, but significant noise accumulation and additional noise from the implementations of these protocols can impede their effectiveness. We propose enhanced virtual channel purification to address these problems, yielding enhanced virtual state purification as a by-product. Within sequential quantum metrology schemes, our error analysis reveals substantial bias reduction and quantum advantages in sampling cost when the number of encoding channels is ${\mathcal{O}}(p^{-1})$, where $p$ represents the error rate of encoding channels. In this range, our methods demonstrate significant improvements in parameter estimation precision and robustness against practical noise, as evidenced by numerical simulations for both single- and multi-parameter tasks. Particularly, these methods can naturally extend beyond quantum metrology, indicating their broad applicability in quantum information and quantum computation.
title Error-mitigated quantum metrology via enhanced virtual purification
topic Quantum Physics
url https://arxiv.org/abs/2506.07618