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arXiv · 1602.00365

Operational extreme points of unital completely positive maps

Marie Choda
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Abstract

Two notions for linear maps (operational convex combinations and operational exetreme points) are introduced. The set S of ucp maps on the n times n matrix algebra is the operational convex combinations of the identity map. An operational extreme point of S is an extreme point of S but the converse does not hold, and every automorphism is an operational extreme point of S.

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Marie Choda. 2016-02-01. Operational extreme points of unital completely positive maps. https://arxiv.org/abs/1602.00365

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