The authors are grateful to R. F. Werner, J. Oppenheim, A. Winter, A. Mari, L. Ambrosio, and M. E. Shirokov for comments and discussions. They also acknowledge the support and catalysing role of the Isaac Newton Institute for Mathematical Sciences, Cambridge, UK: an important part of this work was conducted when attending the Newton Institute programme Mathematical Challenges in Quantum Information.
AH acknowledges the Rothschild Distinguished Visiting Fellowship which enabled him to participate in the programme and partial support from RAS Fundamental Research Programs, Russian Quantum Center and RFBR grant No 12-01-00319.
RG-P acknowledges support from the Alexander von Humboldt Foundation, a Postdoctoral Researcher fellowship of the F.R.S.-FNRS and the Action Back to Belgium Grants of the Belgian Federal Science Policy.
RG-P also acknowledges financial support from the F.R.S.-FNRS under projects T.0199.13 and HIPERCOM, as well as from the Inter-university Attraction Poles program of the Belgian Science Policy Office under Grant No. IAP P7-35 Photonics@be.
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