关于由恒等式的协变分解生成的非交换算子图
On non-commutative operator graphs generated by covariant resolutions of identity
摘要：
研究了紧群的酉表示的单位协变分解生成的非交换算子图。我们的主要目标是寻找正交投影，这是anticliques（纠错码），这样的图。一个特别注意的协方差相对于酉表示的圆群。我们确定了一个张量积结构的空间表示下，所获得的anticlies产生的纠缠向量。
英文摘要：
We study non-commutative operator graphs generated by resolutions of identity covariant with respect to unitary representations of a compact group. Our main goal is searching for orthogonal projections which are anticliques (error-correcting codes) for such graphs. A special attention is paid to the covariance with respect to unitary representations of the circle group. We determine a tensor product structure in the space of representation under which the obtained anticliques are generated by entangled vectors.
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