Picosecond Wireless Synchronization with Entangled Photons via Grid-Based Quantum Coverage in Indoor Optical Systems

TL;DR

This paper introduces a unified quantum-based synchronization framework for indoor optical wireless systems, achieving picosecond accuracy by modeling spatial and temporal factors and accounting for physical impairments.

Contribution

It develops a novel spatio-temporal model linking user position uncertainty to synchronization error, enabling robust quantum-assisted indoor wireless synchronization.

Findings

Synchronization accuracy below 10 picoseconds achieved

System remains stable despite multipath bias and heavy-tailed positioning errors

Performance degrades gracefully under challenging conditions

Abstract

In this paper, we present a robust entanglement-assisted synchronization framework for indoor optical wireless systems that explicitly captures the coupling between spatial beam geometry and temporal synchronization accuracy. Unlike conventional approaches that treat beam steering and timing estimation independently, a unified spatio temporal model is developed that links user position uncertainty to the Cramer Rao lower bound of the synchronization error. The framework incorporates key physical impairments, including multipath dispersion, non Gaussian detector jitter, and spatially correlated localization errors. Through analytical modeling and extensive simulations, we show that the proposed system exhibits graceful performance degradation under heavy tailed positioning uncertainty and remains stable in the presence of multipath induced bias. Using realistic single photon detector parameters, the results indicate that synchronization accuracy below $10$ picoseconds can be maintained across a wide range of operating conditions. This level of precision provides a scalable foundation for quantum enabled indoor wireless networks.