%0 Conference Proceedings %T Applicative Bisimulation and Quantum λ-Calculi %+ Foundations of Component-based Ubiquitous Systems (FOCUS) %+ Alma Mater Studiorum Università di Bologna = University of Bologna (UNIBO) %A Dal Lago, Ugo %A Rioli, Alessandro %< avec comité de lecture %( Lecture Notes in Computer Science %B 6th Fundamentals of Software Engineering (FSEN) %C Tehran, Iran %Y Mehdi Dastani %Y Marjan Sirjani %I Springer %3 Fundamentals of Software Engineering %V LNCS-9392 %P 54-68 %8 2015-04-22 %D 2015 %R 10.1007/978-3-319-24644-4_4 %Z Computer Science [cs]/Logic in Computer Science [cs.LO]Conference papers %X Applicative bisimulation is a coinductive technique to check program equivalence in higher-order functional languages. It is known to be sound — and sometimes complete — with respect to context equivalence. In this paper we show that applicative bisimulation also works when the underlying language of programs takes the form of a linear λ-calculus extended with features such as probabilistic binary choice, but also quantum data, the latter being a setting in which linearity plays a role. The main results are proofs of soundness for the obtained notions of bisimilarity. %G English %Z TC 2 %Z WG 2.2 %2 https://inria.hal.science/hal-01231800/document %2 https://inria.hal.science/hal-01231800/file/main.pdf %L hal-01231800 %U https://inria.hal.science/hal-01231800 %~ INRIA %~ INRIA-SOPHIA %~ INRIASO %~ INRIA_TEST %~ TESTALAIN1 %~ IFIP-LNCS %~ IFIP %~ INRIA2 %~ IFIP-TC %~ IFIP-WG %~ IFIP-TC2 %~ IFIP-WG2-2 %~ IFIP-LNCS-9392 %~ IFIP-FSEN %~ UNIV-COTEDAZUR