Additivity for transpose depolarizing channels

International Journal of Quantum Information

Volumn 4, Issue 1, 2006, Pages 85-98

  Datta, Nilanjana ^a   Holevo, Alexander S ^b   Suhov, Yuri ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

Author keywords

Additivity conjecture; Minimal output entropy; Multiplicativity; p Norm; Transpose depolarizing channel

Indexed keywords

ENTROPY;

ADDITIVITY; MAXIMAL P-NORM; MULTIPLICATIVITY; TRANSPOSE DEPOLARIZING CHANNEL;

DEPOLARIZATION;

EID: 33746358508     PISSN: 02197499     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219749906001633     Document Type: Article

References (11)

1. R. Alicki and M. Fannes, Note on multiple additivity of minimal entropy output of extreme SU(d)-covariant channels, quant-ph/0407033.
2. R. Bhatia, Matrix Analysis (Springer-Verlag, New York, 1997).
3. N. Datta, A. S. Holevo and Yu. M. Suhov, A quantum channel with additive minimum entropy, quant-ph/0403072.
4. N. Datta, Multiplicativity of maximal p-norms in Werner-Holevo channels for 1 ≤ p ≤ 2, quant-ph/0410063.
5. M. Fannes, B. Haegeman, M. Mosonyi and D. Vanpeteghem, Additivity of minimal entropy output for a class of covariant channels, quant-ph/ 0410195.
6. A. S. Holevo, Additivity of classical capacity and related problems, http://www.imaph.nat.tu-bs.de/qi/problems/10.html.
7. A. S. Holevo, Remarks on the classical capacity of quantum covariant channels, quant-ph/0212025.
8. A. S. Holevo, Additivity conjecture and covariant channels, Int. J. Quant. Inf. 3 (2005) 41-47.
9. K. Matsumoto and F. Yura, Entanglement cost of antisymmetric states and additivity of capacity of some channels, quant-ph/0306009.
10. G. Mitchison and R. Jozsa, Towards a geometrical interpretation of quantum information compression, quant-ph/0309177.
11. R. F. Werner and A. S. Holevo, Counterexample to an additivity conjecture for output purity of quantum channels, J. Math. Phys. 43 (2002) 4353-4357.