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Bibliographic Details
Main Authors: Wang, Yunkai, Zhou, Sisi
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2503.06363
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author Wang, Yunkai
Zhou, Sisi
author_facet Wang, Yunkai
Zhou, Sisi
contents Imaging thermal sources naturally yields Gaussian states at the receiver, raising the question of whether Gaussian measurements can perform optimally in quantum imaging. In this work, we establish no-go theorems on the performance of Gaussian measurements for imaging thermal sources in the limit of mean photon number per temporal mode $ε\to 0$ or source size $L \to 0$. We show that non-Gaussian measurements can outperform any Gaussian measurement in the scaling of the estimation variance with $ε$ (or $L$). We also present several examples to illustrate the no-go results.
format Preprint
id arxiv_https___arxiv_org_abs_2503_06363
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Limitations of Gaussian measurements in quantum imaging
Wang, Yunkai
Zhou, Sisi
Quantum Physics
Imaging thermal sources naturally yields Gaussian states at the receiver, raising the question of whether Gaussian measurements can perform optimally in quantum imaging. In this work, we establish no-go theorems on the performance of Gaussian measurements for imaging thermal sources in the limit of mean photon number per temporal mode $ε\to 0$ or source size $L \to 0$. We show that non-Gaussian measurements can outperform any Gaussian measurement in the scaling of the estimation variance with $ε$ (or $L$). We also present several examples to illustrate the no-go results.
title Limitations of Gaussian measurements in quantum imaging
topic Quantum Physics
url https://arxiv.org/abs/2503.06363