dorsal/arxiv
View SchemaOn the Theory of Quantum Secret Sharing
| Authors | Daniel Gottesman |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9910067 |
| URL | https://arxiv.org/abs/quant-ph/9910067 |
| DOI | 10.1103/PhysRevA.61.042311 |
| Journal | Phys. Rev. A 61, 042311 (2000) |
Abstract
I present a variety of results on the theory of quantum secret sharing. I show that any mixed state quantum secret sharing scheme can be derived by discarding a share from a pure state scheme, and that the size of each share in a quantum secret sharing scheme must be at least as large as the size of the secret. I show that the only constraints on the existence of quantum secret sharing schemes with general access structures are monotonicity (if a set is authorized, so are larger sets) and the no-cloning theorem. I also discuss some aspects of sharing classical secrets using quantum states. In this situation, the size of each share can sometimes be half the size of the classical secret.
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"abstract": "I present a variety of results on the theory of quantum secret sharing. I\nshow that any mixed state quantum secret sharing scheme can be derived by\ndiscarding a share from a pure state scheme, and that the size of each share in\na quantum secret sharing scheme must be at least as large as the size of the\nsecret. I show that the only constraints on the existence of quantum secret\nsharing schemes with general access structures are monotonicity (if a set is\nauthorized, so are larger sets) and the no-cloning theorem. I also discuss some\naspects of sharing classical secrets using quantum states. In this situation,\nthe size of each share can sometimes be half the size of the classical secret.",
"arxiv_id": "quant-ph/9910067",
"authors": [
"Daniel Gottesman"
],
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"quant-ph"
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"doi": "10.1103/PhysRevA.61.042311",
"journal_ref": "Phys. Rev. A 61, 042311 (2000)",
"title": "On the Theory of Quantum Secret Sharing",
"url": "https://arxiv.org/abs/quant-ph/9910067"
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