Using the Grothendieck approach to the tensor product of locally convex spaces, we review a characterization of positive maps as well as Belavkin-Ohya characterization of PPT states. Moreover, within this scheme, a generalization of the idea of Choi matrices for genuine quantum systems will be presented.
Russian Journal of Mathematical Physics
- Pub Date:
- July 2014
- Quantum Physics;
- Mathematical Physics
- Paper dedicated to the memory of Viacheslav "Slava" Belavkin. arXiv admin note: text overlap with arXiv:1005.3949