Extreme affine transformations

Gorini, Vittorio ; Sudarshan, E. C. G. (1976) Extreme affine transformations Communications in Mathematical Physics, 46 (1). pp. 43-52. ISSN 0010-3616

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Official URL: http://www.springerlink.com/content/nv698prn8792x2...

Related URL: http://dx.doi.org/10.1007/BF01610499

Abstract

We classify the extreme points of the compact convex set of affine maps of IRn which map into itself the closed unit ball. This work is a preliminary step towards solving the problem of finding the extreme points of the compact convex set of affine maps of the N×N density matrices (dynamical maps of an N-level system) and for n=3 furnishes the solution of the problem in the simplest case of a two-level system.

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