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Computer Science > Logic in Computer Science

arXiv:1511.01568 (cs)
[Submitted on 5 Nov 2015]

Title:Formalization of Quantum Protocols using Coq

Authors:Jaap Boender (Middlesex University), Florian Kammüller (Middlesex University), Rajagopal Nagarajan (Middlesex University)
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Abstract:Quantum Information Processing, which is an exciting area of research at the intersection of physics and computer science, has great potential for influencing the future development of information processing systems. The building of practical, general purpose Quantum Computers may be some years into the future. However, Quantum Communication and Quantum Cryptography are well developed. Commercial Quantum Key Distribution systems are easily available and several QKD networks have been built in various parts of the world. The security of the protocols used in these implementations rely on information-theoretic proofs, which may or may not reflect actual system behaviour. Moreover, testing of implementations cannot guarantee the absence of bugs and errors. This paper presents a novel framework for modelling and verifying quantum protocols and their implementations using the proof assistant Coq. We provide a Coq library for quantum bits (qubits), quantum gates, and quantum measurement. As a step towards verifying practical quantum communication and security protocols such as Quantum Key Distribution, we support multiple qubits, communication and entanglement. We illustrate these concepts by modelling the Quantum Teleportation Protocol, which communicates the state of an unknown quantum bit using only a classical channel.
Comments: In Proceedings QPL 2015, arXiv:1511.01181
Subjects: Logic in Computer Science (cs.LO); Cryptography and Security (cs.CR)
Cite as: arXiv:1511.01568 [cs.LO]
  (or arXiv:1511.01568v1 [cs.LO] for this version)
  https://doi.org/10.48550/arXiv.1511.01568
Journal reference: EPTCS 195, 2015, pp. 71-83
Related DOI: https://doi.org/10.4204/EPTCS.195.6

Submission history

From: EPTCS [view email] [via EPTCS proxy]
[v1] Thu, 5 Nov 2015 01:42:01 UTC (27 KB)
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