Advance sharing for stabilizer-based quantum secret sharing schemes
Quantum Physics
2025-02-11 v1 Cryptography and Security
Information Theory
math.IT
Abstract
In stabilizer-based quantum secret sharing schemes, it is known that some shares can be distributed to participants before a secret is given to the dealer. This distribution is known as advance sharing. It is already known that a set of shares is advance shareable only if it is a forbidden set. However, it was not known whether any forbidden set is advance shareable. We provide an example of a set of shares such that it is a forbidden set but is not advance shareable in the previous scheme. Furthermore, we propose a quantum secret sharing scheme for quantum secrets such that any forbidden set is advance shareable.
Cite
@article{arxiv.2502.06247,
title = {Advance sharing for stabilizer-based quantum secret sharing schemes},
author = {Mamoru Shibata},
journal= {arXiv preprint arXiv:2502.06247},
year = {2025}
}