It was shown in Duan (Super-activation of zero-error capacity of noisy quantum channels, 2009. arXiv:0906.2527), that in finite-dimensional Hilbert spaces each operator system corresponds to some channel, for which this operator system will be an operator graph. This work is devoted to finding necessary and sufficient conditions for this property to hold in infinite-dimensional case.

中文翻译：

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操作员系统的属性，对应于通道

Duan（带噪量子通道零错误能力的超激活，2009年。arXiv：0906.2527）表明，在有限维希尔伯特空间中，每个运营商系统都对应于某个渠道，该运营商系统将成为该渠道的运营商。图形。这项工作致力于为在无限维情况下保持该性质找到必要和充分的条件。