Zero-knowledge proofs of identity
Journal of Cryptology
Journal of the ACM (JACM)
Honest-verifier statistical zero-knowledge equals general statistical zero-knowledge
STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing
A Pseudorandom Generator from any One-way Function
SIAM Journal on Computing
A complete problem for statistical zero knowledge
Journal of the ACM (JACM)
imits on the Power of Quantum Statistical Zero-Knowledge
FOCS '02 Proceedings of the 43rd Symposium on Foundations of Computer Science
Direct Minimum-Knowledge Computations
CRYPTO '87 A Conference on the Theory and Applications of Cryptographic Techniques on Advances in Cryptology
Everything Provable is Provable in Zero-Knowledge
CRYPTO '88 Proceedings of the 8th Annual International Cryptology Conference on Advances in Cryptology
Comparing Entropies in Statistical Zero Knowledge with Applications to the Structure of SZK
COCO '99 Proceedings of the Fourteenth Annual IEEE Conference on Computational Complexity
Zero knowledge with efficient provers
Proceedings of the thirty-eighth annual ACM symposium on Theory of computing
Zero-knowledge against quantum attacks
Proceedings of the thirty-eighth annual ACM symposium on Theory of computing
Foundations of Cryptography: Volume 1
Foundations of Cryptography: Volume 1
An Unconditional Study of Computational Zero Knowledge
SIAM Journal on Computing
General properties of quantum zero-knowledge proofs
TCC'08 Proceedings of the 5th conference on Theory of cryptography
An equivalence between zero knowledge and commitments
TCC'08 Proceedings of the 5th conference on Theory of cryptography
Quantum-Secure Coin-Flipping and Applications
ASIACRYPT '09 Proceedings of the 15th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
Classical cryptographic protocols in a quantum world
CRYPTO'11 Proceedings of the 31st annual conference on Advances in cryptology
Journal of the ACM (JACM)
Hi-index | 0.00 |
We show that any problem that has a classical zero-knowledge protocol against the honest verifier also has, under a reasonable condition, a classical zero-knowledge protocol which is secure against all classical and quantum polynomial time verifiers, even cheating ones. Here we refer to the generalized notion of zero-knowledge with classical and quantum auxiliary inputs respectively.Our condition on the original protocol is that, for positive instances of the problem, the simulated message transcript should be quantum computationally indistinguishable from the actual message transcript. This is a natural strengthening of the notion of honest verifier computational zero-knowledge, and includes in particular, the complexity class of honest verifier statistical zero-knowledge. Our result answers an open question of Watrous [Wat06], and generalizes classical results by Goldreich, Sahai and Vadhan [GSV98], and Vadhan [Vad06] who showed that honest verifier statistical, respectively computational, zero knowledge is equal to general statistical, respectively computational, zero knowledge.