Title
Semantics for a Quantum Programming Language by Operator Algebras.
Abstract
This paper presents a novel semantics for a quantum programming language by , which are known to give a formulation for quantum theory that is alternative to the one by Hilbert spaces. We show that the opposite of the category of *-algebras and normal completely positive subunital maps is an elementary quantum flow chart category in the sense of Selinger. As a consequence, it gives a denotational semantics for Selinger’s first-order functional quantum programming language. The use of operator algebras allows us to accommodate infinite structures and to handle classical and quantum computations in a unified way.
Year
DOI
Venue
2014
https://doi.org/10.1007/s00354-016-0204-3
New Generation Computing
Keywords
Field
DocType
Quantum Computation,Quantum Programming Languages,Operator Algebras,Denotational Semantics,Complete Partial Orders
Quantum programming,Operational semantics,Categorical quantum mechanics,Algebra,Computer science,Denotational semantics,Algorithm,Theoretical computer science,Quantum algorithm,POVM,Quantum channel,Quantum operation
Journal
Volume
Issue
ISSN
34
1
0288-3635
Citations 
PageRank 
References 
4
0.47
19
Authors
1
Name
Order
Citations
PageRank
Kenta Cho1263.10