The extreme points of SU(2)-irreducibly covariant channels

The extreme points of SU(2)-irreducibly covariant channels
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SU(2)-不可约协变通道的极值点

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发表时间:
2014
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通讯作者:
M. A. Nuwairan
M. A. Nuwairan
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文献类型:
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作者:
M. A. Nuwairan

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本文引入了一类SU(2)-协变量子信道EPOSIC信道。对于它们中的每一个,我们给出了一个克劳斯表示、它的Choi矩阵、一个互补通道和它的对偶映射。我们证明了它们是所有SU(2)-不可约协变信道的极值点。作为这些通道的应用,我们得到了一个不是完全正的正映射的例子。
In this paper, we introduce EPOSIC channels, a class of SU(2)-covariant quantum channels. For each of them, we give a Kraus representation, its Choi matrix, a complementary channel, and its dual map. We show that they are the extreme points of all SU(2)-irreducibly covariant channels. As an application of these channels, we get an example of a positive map that is not completely positive.