Hastings’s Additivity Counterexample via Dvoretzky’s Theorem

Author:

Aubrun Guillaume,Szarek Stanisław,Werner Elisabeth

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference24 articles.

1. Nielsen M.A., Chuang I.L.: Quantum computation and quantum information. Cambridge University Press, Cambridge (2000)

2. Holevo, A.S.: The additivity problem in quantum information theory. In: “Proceedings of the International Congress of Mathematicians (Madrid, 2006),” Vol. III, Zürich: Eur. Math. Soc., 2006, pp. 999–1018

3. Shor P.W.: Equivalence of additivity questions in quantum information theory. Commun. Math. Phys. 246(3), 453–472 (2004)

4. Hastings M.B.: Superadditivity of communication capacity using entangled inputs. Nature Phys. 5, 255 (2009)

5. Dvoretzky, A.: Some Results on Convex Bodies and Banach Spaces. In: “Proc. Internat. Sympos. Linear Spaces (Jerusalem, 1960),” Jerusalem: Jerusalem Academic Press, Oxford: Pergamon, 1961, pp. 123–160

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