A relation between completely bounded norms and conjugate channels

Communications in Mathematical Physics

Volumn 266, Issue 1, 2006, Pages 65-70

  Jenčcová, Anna ^a  

^a INSTITUTE OF CHEMISTRY   (Slovakia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33745588038     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-006-0035-z     Document Type: Article

References (9)

1. Audenaert, K.M.R.: A note on the p → q norms of completely positive maps. http://arxiv.org/list/math-ph/0505085, 2005
2. Epstein, H.: Remarks on two theorems of E. Lieb. Commun. Math. Phys. 31, 317-325 (1973)
3. Devetak, I., Junge, M., King, C., Ruskai, M.B.: Multiplicativity of completely bounded p-norms implies a new additivity result. Commun. Math. Phys., DOI: 10.1007/s00220-006-0034-0
4. Devetak, I., Shor, P.W.: The capacity of a quantum channel for simultaneous transmission of classical and quantum information. Commun. Math. Phys. 256, 287-303 (2005)
5. Holevo, A.S.: On complementary channels and the additivity problem, http://arxiv.org/list/quant-ph/0509101, 2005
6. King, C., Matsumoto, K., Nathanson, M., Ruskai, M.B.: Properties of conjugate channels with applications to additivity and multiplicativity. http://arxiv.org/list/quant-ph/0509126, 2005
7. Paulsen, V.: Completely bounded maps and operator algebras. Cambridge: Cambridge University Press, (2002)
8. p-spaces and completely p-summing maps. Astérisque (Soc. Math. France) 247 1-131 (1998)
9. Watrous, J.: Notes on super-operator norms induced by Schatten norms. Quantum. Inf. Comput. 5, 57-67 (2005)