An application of the Lieb-Thirring inequality in quantum information theory

XIVth International Congress on Mathematical Physics: Lisbon, 28 July - 2 August 2003

Volumn , Issue , 2006, Pages 486-490

  King, Christopher ^a  

^a NORTHEASTERN UNIVERSITY   (United States)

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[No Author keywords available]

Indexed keywords

EID: 84967639047     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/9789812704016_0047     Document Type: Chapter

References (12)

1. G. G. Amosov, A. S. Holevo, R. F. Werner, "On Some Additivity Problems in Quantum Information Theory", Problems in Information Transmission 36, 305-313 (2000).
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3. H. Epstein, "Remarks on two theorems of E. Lieb", Communications in Mathematical Physics 31, 317-325 (1973).
4. C. King, "Maximization of capacity and p-norms for some product channels", Journal of Mathematical Physics 43, 1247-1260 (2002).
5. C. King, "Maximal p-norms of entanglement breaking channels", Quantum Information and Computation 3, 186-190 (2003).
6. C. King, "Additivity for unital qubit channels", Journal of Mathematical Physics 43, 4641-4653 (2002).
7. C. King, "The capacity of the quantum depolarizing channel", IEEE Transactions on Information Theory 49, 221-229 (2003).
8. L. J. Landau, R. F. Streater, "On Birkhoff’s theorem for doubly stochastic completely positive maps of matrix algebras", Linear Algebra and its Applications 193, 107-127 (1993).
9. E. Lieb, W. Thirring, "Inequalities for the moments of the eigenvalues of the Schrodinger Hamiltonian and their relation to Sobolev inequalities", in Studies in Mathematical Physics, E. Lieb, B. Simon, A. Wightman eds., Princeton University Press, 1976, pp. 269-303.
10. P. W. Shor, "Additivity of the classical capacity of entanglement-breaking quantum channels", Journal of Mathematical Physics 43, 4334-4340 (2002).
11. P. W. Shor, "Equivalence of additivity questions in quantum information theory", preprint arXiv:quant-ph/0305035; to appear in Communications in Mathematical Physics.
12. R. F. Werner, A. S. Holevo, "Counterexample to an additivity conjecture for output purity of quantum channels", Jour. Math. Phys. 43, 4353-4357 (2002).