Formalization of quantum protocols using Coq

Boender, Jaap, Kammueller, Florian ORCID logoORCID: https://orcid.org/0000-0001-5839-5488 and Nagarajan, Rajagopal ORCID logoORCID: https://orcid.org/0000-0002-9724-4962 (2015) Formalization of quantum protocols using Coq. EPTCS 195: Proceedings 12th International Workshop on Quantum Physics and Logic. In: The 12th International Workshop on Quantum Physics and Logic (QPL 2015), 15-17 Jul 2015, Oxford, United Kingdom. . ISSN 2075-2180 [Conference or Workshop Item]

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 pro- cessing 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 mea- surement. 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.

Item Type: Conference or Workshop Item (Paper)
Research Areas: A. > School of Science and Technology > Computer Science > Foundations of Computing group
Item ID: 16770
Useful Links:
Depositing User: Florian Kammueller
Date Deposited: 03 Jun 2015 11:45
Last Modified: 13 Oct 2016 14:35
URI: https://eprints.mdx.ac.uk/id/eprint/16770

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