Department

Mathematics

Document Type

Article

Publication Date

7-3-2013

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 Mn to its dual basis is a complete order isomorphism. We exhibit “natural” orthonormal bases for Mn 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 {Eij} can be replaced by other bases.

Comments

Published in: J. Math. Phys. 54, 072201 (2013)

Copyright 2013 AIP Publishing LLC.

http://dx.doi.org/10.1063/1.4812329

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