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When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.CONCUR.2015.427
URN: urn:nbn:de:0030-drops-53883
URL: http://drops.dagstuhl.de/opus/volltexte/2015/5388/
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Deng, Yuxin ; Feng, Yuan ; Dal Lago, Ugo

On Coinduction and Quantum Lambda Calculi

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Abstract

In the ubiquitous presence of linear resources in quantum computation, program equivalence in linear contexts, where programs are used or executed once, is more important than in the classical setting. We introduce a linear contextual equivalence and two notions of bisimilarity, a state-based and a distribution-based, as proof techniques for reasoning about higher-order quantum programs. Both notions of bisimilarity are sound with respect to the linear contextual equivalence, but only the distribution-based one turns out to be complete. The completeness proof relies on a characterisation of the bisimilarity as a testing equivalence.

BibTeX - Entry

@InProceedings{deng_et_al:LIPIcs:2015:5388,
  author =	{Yuxin Deng and Yuan Feng and Ugo Dal Lago},
  title =	{{On Coinduction and Quantum Lambda Calculi}},
  booktitle =	{26th International Conference on Concurrency Theory (CONCUR 2015)},
  pages =	{427--440},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-91-0},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{42},
  editor =	{Luca Aceto and David de Frutos Escrig},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2015/5388},
  URN =		{urn:nbn:de:0030-drops-53883},
  doi =		{10.4230/LIPIcs.CONCUR.2015.427},
  annote =	{Keywords: Quantum lambda calculi,  contextual equivalence, bisimulation}
}

Keywords: Quantum lambda calculi, contextual equivalence, bisimulation
Seminar: 26th International Conference on Concurrency Theory (CONCUR 2015)
Issue Date: 2015
Date of publication: 25.08.2015


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