Timeline for positive not completely positive maps
Current License: CC BY-SA 3.0
7 events
when toggle format | what | by | license | comment | |
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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
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Jul 15, 2015 at 16:57 | history | answered | Nathaniel Johnston | CC BY-SA 3.0 |