Fetching the paper…
Reading the bibliography…
We give a representation for entanglement-breaking channels in separable Hilbert space that generalizes the "Kraus decomposition with rank one operators" and use it to describe the complementary channels.
A. S. Holevo, Statistical decision theory for quantum systems, J. Multivariate Analysis, 3
1973
Earlier work this paper cites.
B. Demoen, P. Vanheuverzwijn, A. Verbeure, Completely positive quasi-free maps on the CCR algebra, Rep. Math. Phys. 15
1979
Earlier work this paper cites.
A. S. Holevo, Probabilistic and statistical aspects of quantum theory. Nauka, Moscow, 1980 (rus); North Holland Translation - 1982
1982
Earlier work this paper cites.
A. S. Holevo, Covariant measurements and imprimitivity systems. Lect. Notes Math., 1055
1984
Earlier work this paper cites.
A. S. Holevo, Quantum coding theorems, Russian Math. Surveys, 53
1998
Earlier work this paper cites.
A. S. Holevo, Radon-Nikodym derivatives of quantum instruments, J. Math. Phys. 39
1998
Earlier work this paper cites.
B. Schumacher, M. D. Westmoreland, Quantum privacy and quantum coherence, Phys. Rev. Lett. 80
1998
Cited alongside, same era.
A. S. Holevo, R. F. Werner, Evaluating capacities of Bosonic Gaussian channels, Phys. Rev. A 63
2001
Cited alongside, same era.
P. W. Shor, Additivity of the Classical Capacity of Entanglement-Breaking Quantum Channels, J. Math. Phys. 43
2002
Cited alongside, same era.
M. Horodecki, P. W. Shor, M.-B. Ruskai, General Entanglement Breaking Channels, Rev. Math. Phys. 15
2003
Cited alongside, same era.
Holevo, A. S., Classical capacities of quantum channels with constrained inputs, Probability Theory and Applications, 48
2003
Cited alongside, same era.
Shirokov, M.E., The Holevo capacity of infinite dimensional channels, quant-ph/0408009, 2004
A. S. Holevo, M. E. Shirokov, On Shor’s channel extension and constrained channels. Commun. Math. Phys. 249
2004
Later among the works it cites.
Holevo, A.S., Shirokov M.E., Continuous ensembles and the χ \chi -capacity of infinite dimensional channels, Probability Theory and Applications, 50
2005
Later among the works it cites.
F. Caruso, V. Giovannetti, A. S. Holevo, One-mode Bosonic Gaussian channels: a full weak-degradability classification, New Journal of Physics 8
2006
Later among the works it cites.
A. S. Holevo, One-mode quantum Gaussian channels, Problems of Information Transmission, 43
2007
Later among the works it cites.
T. Cubitt, Ruskai, M.B., G. Smith, The structure of degradable quantum channels, 2008
2008
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2004
Cited alongside, same era.
A. S. Holevo, M. E. Shirokov and R. F. Werner, Separability and entanglement-breaking in infinite dimensions; quant-ph/0504204
Cited in the paper.
I. Devetak, P. Shor, The capacity of a quantum channel for simultaneous transition of classical and quantum information, quant-ph/0311131
Cited in the paper.
R. Caruso, V. Giovannetti, Degradability of Bosonic Gaussian channels, quant-ph/0603257
Cited in the paper.
J. Eisert, M. M. Wolf, Gaussian quantum channels, quant-ph/0505151
Cited in the paper.
R.F. Werner, M. M. Wolf, Bound entangled Gaussian states, quant-ph/0009118
Cited in the paper.
M. M. Wolf, G. Giedke, J. I. Cirac, Extremality of Gaussian quantum states, quant-ph/0509154
Cited in the paper.