Extreme affine transformations

Extreme affine transformations
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极端仿射变换

DOI:
10.1007/bf01610499
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发表时间:
1976
影响因子:
2.4
通讯作者:
E. Sudarshan
E. Sudarshan
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
V. Gorini;E. Sudarshan

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我们对 IRn 的紧凸仿射图集的极值点进行分类,将其映射到闭单位球本身。这项工作是解决寻找 N×N 密度矩阵(N 级系统的动态映射)的仿射映射的紧凸集的极值点问题的初步步骤,并且 forn=3 在两级系统的最简单情况下提供了该问题的解决方案。
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 theN×N density matrices (dynamical maps of anN-level system) and forn=3 furnishes the solution of the problem in the simplest case of a two-level system.