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Complete positivity of the map from a basis to its dual basis
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/content/aip/journal/jmp/54/7/10.1063/1.4812329
2013-07-03
2015-01-30

Abstract

The dual of a matrix ordered space has a natural matrix ordering that makes the dual space matrix ordered as well. The purpose of these notes is to give a condition that describes when the linear map taking a basis of to its dual basis is a complete order isomorphism. We exhibit “natural” orthonormal bases for such that this map is an order isomorphism, but not a complete order isomorphism. Included among such bases is the Pauli basis. Our results generalize the Choi matrix by giving conditions under which the role of the standard basis { } can be replaced by other bases.

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Scitation: Complete positivity of the map from a basis to its dual basis
http://aip.metastore.ingenta.com/content/aip/journal/jmp/54/7/10.1063/1.4812329
10.1063/1.4812329
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