On Zero-Knowledge Proofs over the Quantum Internet

Mark Carney

Paper 2022/1701

On Zero-Knowledge Proofs over the Quantum Internet

Mark Carney

, Quantum Village Inc.

Abstract

This paper presents a new method for quantum identity authentication (QIA) protocols. The logic of classical zero-knowledge proofs (ZKPs) due to Schnorr is applied in quantum circuits and algorithms. This novel approach gives an exact way with which a prover $P$ can prove they know some secret by encapsulating it in a quantum state before sending to a verifier $V$ by means of a quantum channel - allowing for a ZKP wherein an eavesdropper or manipulation can be detected with a fail-safe design. This is achieved by moving away from the hardness of the Discrete Logarithm Problem towards the hardness of estimating quantum states. This paper presents a method with which this can be achieved and some bounds for the security of the protocol provided. With the anticipated advent of a `quantum internet', such protocols and ideas may soon have utility and execution in the real world.

Metadata

Available format(s): PDF
Category: Cryptographic protocols
Publication info: Published elsewhere. arXiv
DOI: 10.48550/arXiv.2212.03027
Keywords: quantum internet zero-knowledge proofs quantum communications quantum identity authentication
Contact author(s): mark @ quantumvillage org
History: 2023-02-11: last of 4 revisions; 2022-12-08: received; See all versions
Short URL: https://ia.cr/2022/1701
License: CC BY

BibTeX

@misc{cryptoeprint:2022/1701,
      author = {Mark Carney},
      title = {On Zero-Knowledge Proofs over the Quantum Internet},
      howpublished = {Cryptology ePrint Archive, Paper 2022/1701},
      year = {2022},
      doi = {10.48550/arXiv.2212.03027},
      note = {\url{https://eprint.iacr.org/2022/1701}},
      url = {https://eprint.iacr.org/2022/1701}
}