NDLI: Zero-knowledge against quantum attacks

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Zero-knowledge against quantum attacks

Content Provider	ACM Digital Library
Author	Watrous, John
Abstract	This paper proves that several interactive proof systems are zero-knowledge against general quantum attacks. This includes the well-known Goldreich-Micali-Wigderson classical zero-knowledge protocols for Graph Isomorphism and Graph 3-Coloring (assuming the existence of quantum computationally concealing commitment schemes in the second case). Also included is a quantum interactive protocol for a complete problem for the complexity class of problems having "honest verifier" quantum statistical zero-knowledge proofs, which therefore establishes that honest verifier and general quantum statistical zero-knowledge are equal: QSZK = $QSZK_{HV}.$ Previously no non-trivial proof systems were known to be zero-knowledge against quantum attacks, except in restricted settings such as the honest-verifier and common reference string models. This paper therefore establishes for the first time that true zero-knowledge is indeed possible in the presence of quantum information and computation.
Starting Page	296
Ending Page	305
Page Count	10
File Format	PDF
ISBN	1595931341
DOI	10.1145/1132516.1132560
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2006-05-21
Publisher Place	New York
Access Restriction	Subscribed
Subject Keyword	Zero-knowledge proof systems Quantum cryptography
Content Type	Text
Resource Type	Article

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