文章基本信息

标题：On Coinduction and Quantum Lambda Calculi
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作者：Yuxin Deng ; Yuan Feng ; Ugo Dal Lago 等
期刊名称：LIPIcs : Leibniz International Proceedings in Informatics
电子版ISSN：1868-8969
出版年度：2015
卷号：42
页码：427-440
DOI：10.4230/LIPIcs.CONCUR.2015.427
出版社：Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
摘要：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.
关键词：Quantum lambda calculi; contextual equivalence; bisimulation