Multiplicativity of superoperator norms for some entanglement breaking channels

E. H. 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

1976

Earlier work this paper cites.

C. H. Bennett, C. A. Fuchs, and J. A. Smolin, “Entanglement-Enhanced Classical Communication on a Noisy Quantum Channel”, in Quantum Communication, Computing and Measurement

1997

Earlier work this paper cites.

G G. Amosov, A. S. Holevo, and R. F. Werner, “On Some Additivity Problems in Quantum Information Theory”, Problems in Information Transmission

2000

Earlier work this paper cites.

C. King and M.B. Ruskai, “Minimal Entropy of States Emerging from Noisy Quantum Channels”, IEEE Trans. Info. Theory

2001

Earlier work this paper cites.

C. King, “Maximal p-norms of entanglement breaking channels”, Quantum Information and Computation

2003

Cited alongside, same era.

C. King, M. Nathanson, M. B. Ruskai “Multiplicativity properties of entrywise positive maps”, Linear Algebra and its Applications

2005

Cited alongside, same era.

J. Watrous, “Notes on super-operator norms induced by Schatten norms”, Quantum Inf. Comput

2005

Cited alongside, same era.

I. Devetak, M. Junge, C. King and M. B. Ruskai, “Multiplicativity of completely bounded p p -norms implies a new additivity result”, Commun. Math. Phys

2006

Cited alongside, same era.

C. King, “Hypercontractivity for semigroups of unital qubit channels”, arXiv:1210.8412 [quant-ph]

Original

Cited in the paper.

M. Wilde, A. Winter, D. Yang “Strong converse for the classical capacity of entanglement-breaking and Hadamard channels”, arXiv:1306.1586 [quant-ph]

Original

Cited in the paper.

K.M.R. Audenaert, “A note on the p → q p\rightarrow q norms of completely positive maps”, Lin. Alg. Appl

2009

Later among the works it cites.

A. Montanaro, “Some applications of hypercontractive inequalities in quantum information theory”, J. Math. Phys

2012

Later among the works it cites.

M. J. Kastoryano and K. Temme, “Quantum logarithmic Sobolev inequalities and rapid mixing”, J. Math. Phys

2013

Closest in time.