Advance sharing for stabilizer-based quantum secret sharing schemes

Mamoru Shibata

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arXiv · 2502.06247

Advance sharing for stabilizer-based quantum secret sharing schemes

Mamoru Shibata

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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.

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BibTeX RIS

Mamoru Shibata. 2025-02-10. Advance sharing for stabilizer-based quantum secret sharing schemes. https://arxiv.org/abs/2502.06247

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