On the Theory of Quantum Secret Sharing

Details On the Theory of Quantum Secret Sharing On the Theory of Quantum Secret Sharing

1999-10-14

arxiv.org/abs/quant-ph/9910067v1

Phys. Rev. A 61, 042311 (2000)

Physics

Quantum Physics

9 pages, REVTeX

Scientific paper

10.1103/PhysRevA.61.042311

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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