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Cloning in C*-Algebras

Part of: Selfadjoint operator algebras Groups and algebras in quantum theory

Published online by Cambridge University Press:  15 December 2016

Krzysztof Kaniowski ,
Katarzyna Lubnauer  and
Andrzej Łuczak
Krzysztof Kaniowski
Affiliation:
Faculty of Mathematics and Computer Science, Łódź University, ulica Stefana Banacha 22, 90-238 Łódź, Poland (kanio@math.uni.lodz.pl; lubnauer@math.uni.lodz.pl; anluczak@math.uni.lodz.pl)
Katarzyna Lubnauer
Affiliation:
Faculty of Mathematics and Computer Science, Łódź University, ulica Stefana Banacha 22, 90-238 Łódź, Poland (kanio@math.uni.lodz.pl; lubnauer@math.uni.lodz.pl; anluczak@math.uni.lodz.pl)
Andrzej Łuczak
Affiliation:
Faculty of Mathematics and Computer Science, Łódź University, ulica Stefana Banacha 22, 90-238 Łódź, Poland (kanio@math.uni.lodz.pl; lubnauer@math.uni.lodz.pl; anluczak@math.uni.lodz.pl)
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Abstract

Cloneable sets of states in C*-algebras are characterized in terms of strong orthogonality of states. Moreover, the relation between strong cloning and distinguishability of states is investigated together with some additional properties of strong cloning in abelian C*-algebras.

Keywords

cloning statesC*-algebrasvon Neumann algebrasthe universal representation

MSC classification

Secondary: 46L30: States 81R15: Operator algebra methods 81P50: Quantum state estimation, approximate cloning
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 60 , Issue 3 , August 2017 , pp. 689 - 705
Copyright
Copyright © Edinburgh Mathematical Society 2016 

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