Quantum Secret Sharing Rates
Quantum Physics
2026-04-28 v2 Information Theory
math.IT
Abstract
This paper studies the capacity limits for quantum secret sharing (QSS). The goal of a QSS scheme is to distribute a quantum secret among multiple participants, such that only authorized parties can recover it through collaboration, while no information can be obtained without such collaboration. We introduce an information-theoretic model for the rate analysis of QSS and its relation to compound quantum channels, following a similar approach as of Zou et al. (2015) on classical secret sharing. We establish a regularized characterization for the QSS capacity, and determine the capacity for QSS with dephasing noise.
Cite
@article{arxiv.2512.22049,
title = {Quantum Secret Sharing Rates},
author = {Gabrielle Lalou and Husein Natur and Uzi Pereg},
journal= {arXiv preprint arXiv:2512.22049},
year = {2026}
}