Probabilistic Model--Checking of Quantum Protocols

dc.creatorGay, Simon
dc.creatorNagarajan, Rajagopal
dc.creatorPapanikolaou, Nikolaos
dc.date2005-04-01
dc.date2005-10-05
dc.date.accessioned2026-07-07T06:21:14Z
dc.date.available2026-07-07T06:21:14Z
dc.descriptionWe establish fundamental and general techniques for formal verification of quantum protocols. Quantum protocols are novel communication schemes involving the use of quantum-mechanical phenomena for representation, storage and transmission of data. As opposed to quantum computers, quantum communication systems can and have been implemented using present-day technology; therefore, the ability to model and analyse such systems rigorously is of primary importance. While current analyses of quantum protocols use a traditional mathematical approach and require considerable understanding of the underlying physics, we argue that automated verification techniques provide an elegant alternative. We demonstrate these techniques through the use of PRISM, a probabilistic model-checking tool. Our approach is conceptually simpler than existing proofs, and allows us to disambiguate protocol definitions and assess their properties. It also facilitates detailed analyses of actual implemented systems. We illustrate our techniques by modelling a selection of quantum protocols (namely superdense coding, quantum teleportation, and quantum error correction) and verifying their basic correctness properties. Our results provide a foundation for further work on modelling and analysing larger systems such as those used for quantum cryptography, in which basic protocols are used as components.
dc.description15 pages + 2 page appendix
dc.identifierhttps://arxiv.org/abs/quant-ph/0504007
dc.identifierhttp://arxiv.org/abs/quant-ph/0504007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95534
dc.subjectQuantum Physics
dc.subjectLogic in Computer Science
dc.titleProbabilistic Model--Checking of Quantum Protocols
dc.typetext

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