@misc{Sawerwain_Marek_Natural, author={Sawerwain, Marek and Gielerak, Roman}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, abstract={A general definition of a quantum predicate and quantum labelled transition systems for finite quantum computation systems is presented. The notion of a quantum predicate as a positive operator-valued measure is developed. The main results of this paper are a theorem about the existence of generalised predicates for quantum programs defined as completely positive maps and a theorem about the existence of a GSOS format for quantum labelled transition systems. The first theorem is a slight generalisation of D'Hondt and Panagaden`s theorem about the quantum weakest precondition in terms of discrete support positive operator-valued measures.}, type={artykuł}, title={Natural quantum operational semantics with predicates}, keywords={quantum computation, predicate notion for quantum programs, quantum labelled transition systems}, }