Quantum Secret Sharing Rates

Gabrielle Lalou; Husein Natur; Uzi Pereg

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arXiv · 2512.22049

Quantum Secret Sharing Rates

Gabrielle Lalou·Husein Natur·Uzi Pereg

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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.

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Gabrielle Lalou, Husein Natur, Uzi Pereg. 2025-12-26. Quantum Secret Sharing Rates. https://arxiv.org/abs/2512.22049

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