Approximate quasiorthogonality of operator algebras and relative quantum privacy

Abstract

The paper shows the approximate quasiorthogonality of two operator algebras. The analysis is based on a characterization of the measure of orthogonality in terms of Choi matrices and Kraus operators for completely positive maps. Examples are drawn from different areas of quantum information. In mathematics, orthogonality is the generalization of the notion of perpendicularity to the linear algebra of bilinear forms. In the context of quantum information theory, the operators {Vi} are called the Kraus operators.

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Keywords

QUANTUM MECHANICS, QUASIORTHOGONAL ALGEBRA, MATHEMATICAL MODELS, CLIMATE CHANGE, SOUTH OF SAHARA, SCIENCE AND TECHNOLOGY, GLOBAL

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