Quantum strongly secure ramp secret sharing
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چکیده
منابع مشابه
Quantum strongly secure ramp secret sharing
Quantum secret sharing is a scheme for encoding a quantum state (the secret) into multiple shares and distributing them among several participants. If a sufficient number of shares are put together, then the secret can be fully reconstructed. If an insufficient number of shares are put together however, no information about the secret can be revealed. In quantum ramp secret sharing, partial inf...
متن کاملStrongly secure ramp secret sharing schemes for general access structures
Ramp secret sharing (SS) schemes can be classified into strong ramp SS schemes and weak ramp SS schemes. The strong ramp SS schemes do not leak out any part of a secret explicitly even in the case that some information about the secret leaks out from some set of shares, and hence, they are more desirable than the weak ramp SS schemes. In this paper, it is shown that for any feasible general acc...
متن کاملStrongly Secure Quantum Ramp Secret Sharing Constructed from Algebraic Curves over Finite Fields
The first construction of strongly secure quantum ramp secret sharing by Zhang and Matsumoto had an undesirable feature that the dimension of quantum shares must be larger than the number of shares. By using algebraic curves over finite fields, we propose a new construction in which the number of shares can become arbitrarily large for fixed dimension of shares.
متن کاملStrongly Secure Quantum Ramp Secret Sharing Constructed from Algebraic Curves over Finite Fields (full version arXiv:1410.5126)
Secret sharing (SS) scheme encodes a secret into multiple shares being distributed to participants, so that only qualified sets of shares can reconstruct the secret perfectly [13]. The secret and shares are traditionally classical information [13], but now quantum secret and quantum shares can also be used [3, 4, 11]. In perfect SS, if a set of shares is not qualified, that is, it cannot recons...
متن کاملCoding Theoretic Construction of Quantum Ramp Secret Sharing
We show a construction of a quantum ramp secret sharing scheme from a nested pair of linear codes. Necessary and sufficient conditions for qualified sets and forbidden sets are given in terms of combinatorial properties of nested linear codes. An algebraic geometric construction for quantum secret sharing is also given.
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ژورنال
عنوان ژورنال: Quantum Information Processing
سال: 2014
ISSN: 1570-0755,1573-1332
DOI: 10.1007/s11128-014-0863-2