Maximal p-norms of entanglement breaking channels

Quantum Information and Computation

Volumn 3, Issue 2, 2003, Pages 186-190

  King, Christopher ^a  

^a NORTHEASTERN UNIVERSITY   (United States)

Author keywords

Entanglement breaking channel; Lieb Thirring inequality; Trace norm

Indexed keywords

COMPUTATIONAL METHODS; INFORMATION SYSTEMS;

ENTANGLEMENT-BREAKING CHANNEL; HOLEVO CAPACITY; LIEB-THIRRING INEQUALITY; MAXIMAL P-NORM; OUTPUT STATE; PRODUCT CHANNEL; PRODUCT STATE; TRACE-NORMS;

QUANTUM ENTANGLEMENT;

EID: 0141707865     PISSN: 15337146     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (5)

1. A. S. Holevo, "Quantum coding theorems", Russian Math. Surveys, 53, 1295-1331 (1999).
2. P. Shor, "Additivity of the classical capacity of entanglement-breaking channels", Journal of Mathematical Physics, 43, no. 9, 4334 - 4340 (2002).
3. G. G. Amosov, A. S. Holevo, and R. F. Werner, "On Some Additivity Problems in Quantum Information Theory", Problems in Information Transmission, 36, 305 - 313 (2000).
4. E. Lieb and W. Thirring, "Inequalities for the Moments of the Eigenvalues of the Schrödinger Hamiltonian and Their Relation to Sobolev Inequalities", in Studies in Mathematical Physics, E. Lieb, B. Simon, A. Wightman eds., pp. 269-303 (Princeton University Press, 1976).
5. K. Matsumoto, T. Shimono and A. Winter, "Remarks on additivity of the Holevo channel capacity and of the entanglement of formation", preprint lanl:quant-ph/0206148.