Variational Quantum Compressed Sensing for Joint User and Channel State Acquisition in Grant-Free Device Access Systems

TL;DR

This paper presents a variational quantum compressed sensing framework for joint user and channel state acquisition in grant-free systems, demonstrating improved denoising performance over classical methods.

Contribution

It introduces a novel variational quantum circuit approach integrated with compressed sensing for joint estimation in wireless communications.

Findings

VQC outperforms classical denoising techniques in simulations.

The method effectively estimates non-linear channel and user states.

Quantum parameters are optimized for correlated device activity scenarios.

Abstract

This paper introduces a new quantum computing framework integrated with a two-step compressed sensing technique, applied to a joint channel estimation and user identification problem. We propose a variational quantum circuit (VQC) design as a new denoising solution. For a practical grant-free communications system having correlated device activities, variational quantum parameters for Pauli rotation gates in the proposed VQC system are optimized to facilitate to the non-linear estimation. Numerical results show that the VQC method can outperform modern compressed sensing techniques using an element-wise denoiser.