Channel Estimation for Rydberg Atomic Quantum Receivers: Unrolled Phase Retrieval from Holographic Snapshots

Fuente: arXiv
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Autores principales: Xiao, Jian, Wang, Ji, Zeng, Ming, Xu, Hongbo, Li, Xingwang, Nallanathan, Arumugam
Formato: Preprint
Publicado: 2025
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author Xiao, Jian
Wang, Ji
Zeng, Ming
Xu, Hongbo
Li, Xingwang
Nallanathan, Arumugam
author_facet Xiao, Jian
Wang, Ji
Zeng, Ming
Xu, Hongbo
Li, Xingwang
Nallanathan, Arumugam
contents A model-driven deep learning framework is proposed for channel estimation in Rydberg atomic quantum receivers (RAQRs) based on the measurement of holographic snapshots. Specifically, we develop a Transformer-based unrolling architecture, termed URformer, to solve the non-linear biased phase retrieval problem, which is derived by unrolling a stabilized variant of the expectation-maximization Gerchberg-Saxton (EM-GS) algorithm. Each layer of the proposed URformer incorporates three trainable modules: 1) a learnable filter network that replaces the fixed Bessel kernel in the classic EM-GS algorithm; 2) a trainable gating mechanism that adaptively combines classic updates to ensure training stability; and 3) an efficient channel Transformer module that learns to correct residual errors by capturing non-local channel dependencies. Numerical results demonstrate that the proposed URformer significantly outperforms classic iterative algorithms and conventional black-box neural networks with less pilot overhead.
format Preprint
id arxiv_https___arxiv_org_abs_2509_12586
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Channel Estimation for Rydberg Atomic Quantum Receivers: Unrolled Phase Retrieval from Holographic Snapshots
Xiao, Jian
Wang, Ji
Zeng, Ming
Xu, Hongbo
Li, Xingwang
Nallanathan, Arumugam
Information Theory
A model-driven deep learning framework is proposed for channel estimation in Rydberg atomic quantum receivers (RAQRs) based on the measurement of holographic snapshots. Specifically, we develop a Transformer-based unrolling architecture, termed URformer, to solve the non-linear biased phase retrieval problem, which is derived by unrolling a stabilized variant of the expectation-maximization Gerchberg-Saxton (EM-GS) algorithm. Each layer of the proposed URformer incorporates three trainable modules: 1) a learnable filter network that replaces the fixed Bessel kernel in the classic EM-GS algorithm; 2) a trainable gating mechanism that adaptively combines classic updates to ensure training stability; and 3) an efficient channel Transformer module that learns to correct residual errors by capturing non-local channel dependencies. Numerical results demonstrate that the proposed URformer significantly outperforms classic iterative algorithms and conventional black-box neural networks with less pilot overhead.
title Channel Estimation for Rydberg Atomic Quantum Receivers: Unrolled Phase Retrieval from Holographic Snapshots
topic Information Theory
url https://arxiv.org/abs/2509.12586