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Feb 6, 2017 at 0:13 comment added Nathaniel Johnston @walker - Yes, $k$ refers to the dimension of the space on which the identity transformation acts. So if $\Phi$ acts on n-by-n matrices, then $id_k \otimes \Phi$ acts on kn-by-kn matrices.
Feb 4, 2017 at 11:29 comment added Ka Wa Yip does k here means the dimension is k?
Feb 2, 2017 at 16:57 comment added Nathaniel Johnston @walker - $k$-positive map means that $(id_k \otimes \Phi)(X)$ is a positive semidefinite matrix whenever $X$ is a positive semidefinite matrix. In my notes, SN means "Schmidt number".
Feb 1, 2017 at 22:12 comment added Ka Wa Yip Hi Nathaniel, I just want to ask what does K positive map or in general K map means and I do not understand what SN means in your notes.
Jul 16, 2015 at 16:43 vote accept Arnold Neumaier
Jul 15, 2015 at 19:11 history edited Nathaniel Johnston CC BY-SA 3.0
added a reference
Jul 15, 2015 at 16:57 history answered Nathaniel Johnston CC BY-SA 3.0