{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,2,29]],"date-time":"2024-02-29T10:44:21Z","timestamp":1709203461372},"reference-count":38,"publisher":"University of Zielona G\u00f3ra, Poland","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2008,9,1]]},"abstract":"<jats:title>Natural Quantum Operational Semantics with Predicates<\/jats:title><jats:p>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.<\/jats:p>","DOI":"10.2478\/v10006-008-0031-x","type":"journal-article","created":{"date-parts":[[2008,10,7]],"date-time":"2008-10-07T16:00:58Z","timestamp":1223395258000},"page":"341-359","source":"Crossref","is-referenced-by-count":8,"title":["Natural Quantum Operational Semantics with Predicates"],"prefix":"10.61822","volume":"18","author":[{"given":"Marek","family":"Sawerwain","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Roman","family":"Gielerak","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"37438","reference":[{"key":"1","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1016\/0304-3975(94)90094-9","article-title":"GSOS and finite labelled transition systems","volume":"1","author":"L. 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