Entanglement breaking rank and the existence of SIC POVMs
2020
We introduce and study the entanglement breaking rank of an entanglement breaking channel. We show that the entanglement breaking rank of the channel Z:Md→Md defined by Z(X)=1d+1(X+Tr(X)Id) is d2 if and only if there exists a symmetric informationally complete positive operator-valued measure in dimension d.
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
26
References
7
Citations
NaN
KQI