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We introduce potential capacities of quantum channels in an operational way and provide upper bounds for these quantities, which quantify the ultimate limit of usefulness of a channel for a given task in the best possible context.
W. F. Stinespring, “Positive functions on C*-algebras”, Proceedings of the American Mathematical Society 6
1955
Earlier work this paper cites.
A. Uhlmann, “The ‘Transition Probability’ in the State Space of a ∗ \ast -Algebra”, Rep. Math. Phys. 9
1976
Earlier work this paper cites.
B. Schumacher, “Sending entanglement through noisy quantum channels”, Phys. Rev. A 54
1996
Earlier work this paper cites.
B. Schumacher and M. A. Nielsen, “Quantum data processing and error correction”, Phys. Rev. A 54
1996
Earlier work this paper cites.
B. Schumacher and M. D. Westmoreland, “Sending classical information via noisy quantum channels”, Phys. Rev. A 56
1997
Earlier work this paper cites.
S. Lloyd, “Capacity of the noisy quantum channel”, Phys. Rev. A 55
1997
Earlier work this paper cites.
C. Adami and N. J. Cerf, “von Neumann capacity of noisy quantum channels”, Phys. Rev. A 56
1997
Earlier work this paper cites.
A. S. Holevo, “The Capacity of the Quantum Channel with General Signal States”, IEEE. Trans. Inf. Theory 44
1998
Earlier work this paper cites.
D. P. DiVincenzo, P. W. Shor, and J. A. Smolin, “Quantum-channel capacity of very noisy channels”, Phys. Rev. A 57
1998
Earlier work this paper cites.
H. Barnum, M. A. Nielsen, and B. Schumacher, “Information transmission through a noisy quantum channel”, Phys. Rev. A 57
1998
Earlier work this paper cites.
H. Barnum, E. Knill, and M. A. Nielsen, “On quantum fidelities and channel capacities”, IEEE Trans. Inf. Theory 46
2000
Earlier work this paper cites.
P. W. Shor, “The quantum channel capacity and coherent information”, MSRI Workshop on Quantum Computation (2002)
2002
Earlier work this paper cites.
C. H. Bennett, P. W. Shor, J. A. Smolin, and A. V. Thapliyal, “Entanglement-Assisted Capacity of a Quantum Channel and the Reverse Shannon Theorem”, IEEE Trans Inf. Theory 48
2002
Earlier work this paper cites.
B. Schumacher and M. D. Westmoreland, “Entanglement and perfect quantum error correction”, J. Math. Phys. 43
2002
Cited alongside, same era.
M. Horodecki, P. W. Shor, and M. B. Ruskai, “Entanglement Breaking Channels”, Rev. Math. Phys. 15
2003
Cited alongside, same era.
N. Cai, A. Winter, and R. W. Yeung, “Quantum Privacy and Quantum Wiretap Channels”, Probl. Inf. Transm. 40
2004
Cited alongside, same era.
K. Matsumoto, T. Shimono, and A. Winter, “Remarks on Additivity of the Holevo Channel Capacity and of the Entanglement of Formation”, Commun. Math. Phys. 246
2004
Cited alongside, same era.
P. Hayden, R. Jozsa, D. Petz, A. Winter, “Structure of states which satisfy strong subadditivity of quantum entropy with equality”, Commun. Math. Phys. 246
2004
Cited alongside, same era.
G. Smith, J. A. Smolin, and A. Winter, “The Quantum Capacity With Symmetric Side Channels”, IEEE Trans. Inf. Theory 54
2008
Later among the works it cites.
2008
Later among the works it cites.
M. Hastings, “Superadditivity of communication capacity using entangled inputs”, Nature Physics 5
2009
Later among the works it cites.
K. Li, A. Winter, X. Zou, and G. Guo, “Private Capacity of Quantum Channels is Not Additive”, Phys. Rev. Lett. 103
2009
Later among the works it cites.
G. Smith and J. A. Smolin, “Extensive Nonadditivity of Privacy”, Phys. Rev. Lett. 103
2009
Later among the works it cites.
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I. Devetak, “The Private Classical Capacity and Quantum Capacity of a Quantum Channel”, IEEE Trans. Inf. Theory 51
2005
Cited alongside, same era.
I. Devetak and P. W. Shor, “The Capacity of a Quantum Channel for Simultaneous Transmission of Classical and Quantum Information”, Commun. Math. Phys. 256
2005
Cited alongside, same era.
J. A. Smolin, F. Vestraete, and A. Winter, “Entanglement of assistance and multipartite state distillation”, Phys. Rev. A 72
2005
Cited alongside, same era.
D. Yang, M. Horodecki, R. Horodecki, and B. Synak-Radtke, “Irreversibility for All Bound Entangled States”, Phys. Rev. Lett. 95
2005
Cited alongside, same era.
A. Winter, “On Environment-Assisted Capacities of Quantum Channels”, Markov Processes and Related Fields 13
2007
Cited alongside, same era.
C. King, K. Matsumoto, M. Nathanson, and M. B. Ruskai, “Properties of Conjugate Channels with Applications to Additivity and Multiplicativity”, Markov Processes and Related Fields 13
2007
Cited alongside, same era.
G. Smith and J. T. Yard, “Quantum Communication with Zero-Capacity Channels”, Science 321
2008
Cited alongside, same era.
K. Bradler, P. Hayden, D. Touchette, and Mark M. Wilde, “Trade-off capacities of the quantum Hadamard channels”, Phys. Rev. A 81
2010
Later among the works it cites.
F. G. S. L. Brandão, J. Eisert, M. Horodecki, and D. Yang, “Entangled Inputs Cannot Make Imperfect Quantum Channels Perfect”, Phys. Rev. Lett. 106
2011
Later among the works it cites.
M. M. Wilde and M.-H. Hsieh, “The quantum dynamic capacity formula of a quantum channel”, Quantum Inf. Process. 11
2012
Later among the works it cites.
M. Berta, F. G. S. L. Brandão, M. Christandl, and S. Wehner, “Entanglement Cost of Quantum Channels”, IEEE Trans. Inf. Theory 59
2013
Later among the works it cites.
T. S. Cubitt, D. Elkouss, W. Matthews, M. Ozols, D. Pérez-García, and S. Strelchuk, “Unbounded number of channel uses are required to see quantum capacity”, Nat. Commun. 6
2015
Closest in time.
D. Elkouss and S. Strelchuk, “Superadditivity of private information for any number of uses of the channel”, Phys. Rev. Lett. 115
2015
Closest in time.
D. Yang, “Upper Bounds for Capacities of Quantum Channels ”, in preparation (2015)
2015
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