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Classical Representations of Qubit Channels
Author(s) -
Tanner Crowder,
Keye Martin
Publication year - 2011
Publication title -
electronic notes in theoretical computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.242
H-Index - 60
ISSN - 1571-0661
DOI - 10.1016/j.entcs.2011.01.022
Subject(s) - mathematics , qubit , closure (psychology) , group (periodic table) , regular polygon , set (abstract data type) , classical group , representation (politics) , combinatorics , pure mathematics , topology (electrical circuits) , quantum , physics , quantum mechanics , computer science , lie group , geometry , politics , economics , political science , law , market economy , programming language
A set of qubit channels has a classical representation when it is isomorphic to the convex closure of a group of classical channels. We prove that there are five such groups, each being either a subgroup of the alternating group on four letters, or a subgroup of the symmetric group on three letters

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