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Understanding quantum channels and the strange behavior of their capacities is a key objective of quantum information theory.
“Quantum Error-Correcting Codes Need Not Completely Reveal the Error Syndrome”
Peter. Shor and John. Smolin · 1996
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“Capacities of Quantum Erasure Channels”
Charles. Bennett, David. DiVincenzo and John. Smolin · 1997
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“Matrix Analysis”
Rajendra Bhatia · 1997
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“Capacity of the noisy quantum channel”
Seth Lloyd · 1997
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“Sending classical information via noisy quantum channels”
Benjamin Schumacher and Michael. Westmoreland · 1997
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“Information transmission through a noisy quantum channel”
Howard Barnum, Michael. Nielsen and Benjamin Schumacher · 1998
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“Quantum-channel capacity of very noisy channels”
David. DiVincenzo, Peter. Shor and John. Smolin · 1998
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“The capacity of the quantum channel with general signal states”
Alexander. Holevo · 1998
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“Entanglement-Assisted Classical Capacity of Noisy Quantum Channels”
Charles. Bennett, Peter. Shor, John. Smolin and Ashish. Thapliyal · 1999
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“On quantum fidelities and channel capacities”
Howard Barnum, E. Knill and M.. Nielsen · 2000
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“Binding entanglement channels”
Pawe Horodecki, Micha Horodecki and Ryszard Horodecki · 2000
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“Evaluating capacities of bosonic Gaussian channels”
Alexander Holevo and Reinhard Werner · 2001
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“Additivity for unital qubit channels”
Christopher King · 2002
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“The capacity of the quantum depolarizing channel”
Christopher King · 2002
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“Additivity of the classical capacity of entanglement-breaking quantum channels”
Peter. Shor · 2002
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“Quantum error correction” Available at: https://www.msri.org/workshops/203/schedules/1181
Peter. Shor · 2002
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“General Entanglement Breaking Channels”
Micha Horodecki, Peter. Shor and Mary Ruskai · 2003
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“Quantum privacy and quantum wiretap channels”
N. Cai, A. Winter and R.. Yeung · 2004
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“The private classical capacity and quantum capacity of a quantum channel”
Igor Devetak · 2004
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“Equivalence of Additivity Questions in Quantum Information Theory”
Peter. Shor · 2004
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“The capacity of a quantum channel for simultaneous transmission of classical and quantum information”
Igor Devetak and Peter. Shor · 2005
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“Secure Key from Bound Entanglement”
Karol Horodecki, Micha Horodecki, Pawe Horodecki and Jonathan Oppenheim · 2005
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“An application of the Lieb-Thirring inequality in quantum information theory”
Christopher King · 2006
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“Properties of Conjugate Channels with Applications to Additivity and multiplicativity”
Christopher King, Keiji Matsumoto, Michael Nathanson and Mary Ruskai · 2007
Cited alongside, same era.
“Degenerate quantum codes for Pauli channels”
Graeme Smith and John Smolin · 2007
Cited alongside, same era.
“The structure of degradable quantum channels”
Toby. Cubitt, Mary Ruskai and Graeme Smith · 2008
Cited alongside, same era.
“Lower bounds on the nonzero capacity of Pauli channels”
Jesse Fern and K Whaley · 2008
Cited alongside, same era.
“General Paradigm for Distilling Classical Key From Quantum States”
K. Horodecki, M. Horodecki, P. Horodecki and J. Oppenheim · 2008
Cited alongside, same era.
“Strong converse rates for quantum communication”
Marco Tomamichel, Mark. Wilde and Andreas Winter · 2016
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“Quantum information theory”
Mark. Wilde · 2016
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“The minimum Rényi entropy output of a quantum channel is locally additive”
Gilad Gour and Todd Kemp · 2017
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“Useful states and entanglement distillation”
Felix Leditzky, Nilanjana Datta and Graeme Smith · 2017
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“Approximate Degradable Quantum Channels”
D. Sutter, V.. Scholz, A. Winter and R. Renner · 2017
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“Semidefinite programming strong converse bounds for classical capacity”
Xin Wang, Wei Xie and Runyao Duan · 2017
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“For Quantum Information, Two Wrongs Can Make a Right”
Jonathan Oppenheim · 2008
Cited alongside, same era.
“Private classical capacity with a symmetric side channel and its application to quantum cryptography”
Graeme Smith · 2008
Cited alongside, same era.
“Structured Codes Improve the Bennett-Brassard-84 Quantum Key Rate”
Graeme Smith, Joseph. Renes and John. Smolin · 2008
Cited alongside, same era.
“Quantum communication with zero-capacity channels”
Graeme Smith and Jon Yard · 2008
Cited alongside, same era.
“Capacity theorems for quantum multiple-access channels: Classical-quantum and quantum-quantum capacity regions”
Jon Yard, Patrick Hayden and Igor Devetak · 2008
Cited alongside, same era.
“Superadditivity of communication capacity using entangled inputs”
Matthew Hastings · 2009
Cited alongside, same era.
“Efficient optimization of the quantum relative entropy”
Hamza Fawzi and Omar Fawzi · 2018
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“Capacity Estimates via Comparison with TRO Channels”
Li Gao, Marius Junge and Nicholas LaRacuente · 2018
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“Dephrasure Channel and Superadditivity of Coherent Information”
Felix Leditzky, Debbie Leung and Graeme Smith · 2018
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“Separation between quantum Lovász number and entanglement-assisted zero-error classical capacity”
Xin Wang and Runyao Duan · 2018
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“Semidefinite programming converse bounds for quantum communication”
Xin Wang, Kun Fang and Runyao Duan · 2018
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“Quantum codes from neural networks”
Johannes Bausch and Felix Leditzky · 2020
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Hamza Fawzi Private communication, 2020
2020
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“Computing Quantum Channel Capacities”
Navneeth Ramakrishnan, Raban Iten, Volkher. Scholz and Mario Berta · 2020
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“Error Thresholds for Arbitrary Pauli Noise”
Johannes Bausch and Felix Leditzky · 2021
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“Geometric Rényi divergence and its applications in quantum channel capacities”
Kun Fang and Hamza Fawzi · 2021
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“Entropic singularities give rise to quantum transmission”
Vikesh Siddhu · 2021
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“Positivity and nonadditivity of quantum capacities using generalized erasure channels”
Vikesh Siddhu and Robert Griffiths · 2021
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“Bounding the forward classical capacity of bipartite quantum channels”
Dawei Ding et al · 2022
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“GitHub repository with supplementary code” Available at https://github.com/felixled/platypus , 2022
2022
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“Generic nonadditivity of quantum capacity in simple channels”
Felix Leditzky et al · 2023
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