Advance sharing for stabilizer-based quantum secret sharing schemes
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912226277851136 |
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| author | Shibata, Mamoru |
| author_facet | Shibata, Mamoru |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_06247 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Advance sharing for stabilizer-based quantum secret sharing schemes Shibata, Mamoru Quantum Physics Cryptography and Security Information Theory 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. |
| title | Advance sharing for stabilizer-based quantum secret sharing schemes |
| topic | Quantum Physics Cryptography and Security Information Theory |
| url | https://arxiv.org/abs/2502.06247 |