Advance Sharing with Ogawa et al.'s Ramp Quantum Secret Sharing Scheme

Satoshi Masumori; Ryutaroh Matsumoto

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arXiv · 2404.15646

Advance Sharing with Ogawa et al.'s Ramp Quantum Secret Sharing Scheme

Satoshi Masumori·Ryutaroh Matsumoto

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Abstract

The ramp quantum secret sharing proposed by Ogawa et al. has the highest possible coding rate given a threshold type access structure. On the other hand, in some quantum secret sharing schemes, it is known that some shares can be distributed to participants before a secret is given to the dealer. However, it is unclear whether some shares can be distributed before a secret is given in Ogawa et al.'s scheme. In this paper, we propose a method to distribute some shares before a secret is given in Ogawa et al.'s scheme, then determine a necessary and sufficient condition on sets of shares that can be distributed before a given secret.

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Satoshi Masumori, Ryutaroh Matsumoto. 2024-04-24. Advance Sharing with Ogawa et al.'s Ramp Quantum Secret Sharing Scheme. https://arxiv.org/abs/2404.15646

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