Verification of concurrent quantum protocols by equivalence checking

Conference paper


Ardeshir-Larijani, E., Gay, S. and Nagarajan, R. 2014. Verification of concurrent quantum protocols by equivalence checking. TACAS 2014: 20th International Conference on Tools and Algorithms for the Construction and Analysis of Systems. Grenoble, France 05 - 13 Apr 2014 Springer. https://doi.org/10.1007/978-3-642-54862-8_42
TypeConference paper
TitleVerification of concurrent quantum protocols by equivalence checking
AuthorsArdeshir-Larijani, E., Gay, S. and Nagarajan, R.
Abstract

We present a tool which uses a concurrent language for describing quantum systems, and performs verification by checking equivalence between specification and implementation. In general, simulation of quantum systems using current computing technology is infeasible. We restrict ourselves to the stabilizer formalism, in which there are efficient simulation algorithms. In particular, we consider concurrent quantum protocols that behave functionally in the sense of computing a deterministic input-output relation for all interleavings of the concurrent system. Crucially, these input output relations can be abstracted by superoperators, enabling us to take advantage of linearity. This allows us to analyse the behaviour of protocols with arbitrary input, by simulating their operation on a finite basis set consisting of stabilizer states. Despite the limitations of the stabilizer formalism and also the range of protocols that can be analysed using this approach, we have applied our equivalence checking tool to specify and verify interesting and practical quantum protocols from teleportation to secret sharing.

Research GroupFoundations of Computing group
ConferenceTACAS 2014: 20th International Conference on Tools and Algorithms for the Construction and Analysis of Systems
Proceedings TitleTACAS 2014: Tools and Algorithms for the Construction and Analysis of Systems
ISSN0302-9743
Electronic1611-3349
ISBN
Paperback9783642548611
Electronic9783642548628
PublisherSpringer
Publication dates
Print11 Mar 2014
Online21 Mar 2014
Publication process dates
Deposited03 Jun 2015
Accepted20 Dec 2013
Output statusPublished
Digital Object Identifier (DOI)https://doi.org/10.1007/978-3-642-54862-8_42
Web address (URL) of conference proceedingshttps://doi.org/10.1007/978-3-642-54862-8
LanguageEnglish
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