Quantum Secret Sharing Rates

TL;DR

This paper analyzes the capacity limits of quantum secret sharing schemes, introducing an information-theoretic model and determining the capacity under dephasing noise conditions.

Contribution

It presents a regularized capacity characterization for quantum secret sharing and extends the analysis to noisy quantum channels.

Findings

Established a regularized capacity formula for QSS.

Determined the QSS capacity with dephasing noise.

Linked QSS capacity analysis to compound quantum channels.

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.