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Quantum capacities are fundamental quantities that are notoriously hard to compute and can exhibit surprising properties such as superadditivity.
“A note on a partial ordering for communication channels”
Claude Shannon · 1958
Earlier work this paper cites.
“Quantum Error-Correcting Codes Need Not Completely Reveal the Error Syndrome”
Peter Shor and John. Smolin · 1996
Earlier work this paper cites.
“Capacity of the noisy quantum channel”
Seth Lloyd · 1997
Earlier work this paper cites.
“Sending classical information via noisy quantum channels”
Benjamin Schumacher and Michael Westmoreland · 1997
Earlier work this paper cites.
“Information transmission through a noisy quantum channel”
Howard Barnum, Michael. Nielsen and Benjamin Schumacher · 1998
Earlier work this paper cites.
“Quantum-channel capacity of very noisy channels”
David. DiVincenzo, Peter. Shor and John. Smolin · 1998
Earlier work this paper cites.
“The capacity of the quantum channel with general signal states”
Alexander Holevo · 1998
Earlier work this paper cites.
“Entanglement-assisted classical capacity of noisy quantum channels”
Charles Bennett, Peter Shor, John Smolin and Ashish Thapliyal · 1999
Earlier work this paper cites.
“On quantum fidelities and channel capacities”
Howard Barnum, E. Knill and M.. Nielsen · 2000
Earlier work this paper cites.
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Pawe Horodecki, Micha Horodecki and Ryszard Horodecki · 2000
Earlier work this paper cites.
“Quantum error correction” Available at: https://www.msri.org/workshops/203/schedules/1181
Peter. Shor · 2002
Earlier work this paper cites.
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Ning Cai, Andreas Winter and Raymond Yeung · 2004
Earlier work this paper cites.
“The private classical capacity and quantum capacity of a quantum channel”
Igor Devetak · 2004
Earlier work this paper cites.
“Distillation of secret key and entanglement from quantum states”
Igor Devetak and Andreas Winter · 2004
Earlier work this paper cites.
“The capacity of a quantum channel for simultaneous transmission of classical and quantum information”
Igor Devetak and Peter Shor · 2005
Earlier work this paper cites.
“Secure Key from Bound Entanglement”
Karol Horodecki, Micha Horodecki, Pawe Horodecki and Jonathan Oppenheim · 2005
Earlier work this paper cites.
“A sharp continuity estimate for the von Neumann entropy”
Koenraad Audenaert · 2007
Earlier work this paper cites.
“Degenerate quantum codes for Pauli channels”
Graeme Smith and John Smolin · 2007
Earlier work this paper cites.
“Lower bounds on the nonzero capacity of Pauli channels”
Jesse Fern and K Whaley · 2008
Earlier work this paper cites.
“General Paradigm for Distilling Classical Key From Quantum States”
K. Horodecki, M. Horodecki, P. Horodecki and J. Oppenheim · 2008
Earlier work this paper cites.
“Low-dimensional bound entanglement with one-way distillable cryptographic key”
Karol Horodecki, Lukasz Pankowski, Michal Horodecki and Pawel Horodecki · 2008
Earlier work this paper cites.
“Private classical capacity with a symmetric side channel and its application to quantum cryptography”
Graeme Smith · 2008
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“Structured Codes Improve the Bennett-Brassard-84 Quantum Key Rate”
Graeme Smith, Joseph. Renes and John. Smolin · 2008
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Graeme Smith, John Smolin and Andreas Winter · 2008
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Graeme Smith and Jon Yard · 2008
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“Superadditivity of communication capacity using entangled inputs”
Matthew Hastings · 2009
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“Continuity of Quantum Channel Capacities”
Debbie Leung and Graeme Smith · 2009
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Ke Li, Andreas Winter, XuBo Zou and GuangCan Guo · 2009
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Andreas Winter · 2017
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“Efficient optimization of the quantum relative entropy”
Hamza Fawzi and Omar Fawzi · 2018
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“Approaches for approximate additivity of the Holevo information of quantum channels”
Felix Leditzky, Eneet Kaur, Nilanjana Datta and Mark. Wilde · 2018
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“Dephrasure Channel and Superadditivity of Coherent Information”
Felix Leditzky, Debbie Leung and Graeme Smith · 2018
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“Quantum and Private Capacities of Low-Noise Channels”
Felix Leditzky, Debbie Leung and Graeme Smith · 2018
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“Entanglement-assisted private communication over quantum broadcast channels”
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Graeme Smith and John Smolin · 2009
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“Semidefinite programs for completely bounded norms”
John Watrous · 2009
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“On contraction coefficients, partial orders and approximation of capacities for quantum channels”
C Hirche, C Rouzé and DS França · 2011
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“Leaking information to gain entanglement”
Vikesh Siddhu · 2011
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“When Does Noise Increase the Quantum Capacity?”
Fernando G. S.. Brand“˜ao, Jonathan Oppenheim and Sergii Strelchuk · 2012
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“Detecting incapacity of a quantum channel”
Graeme Smith and John Smolin · 2012
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Haoyu Qi, Kunal Sharma and Mark Wilde · 2018
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“On the energy-constrained diamond norm and its application in quantum information theory”
Maksim Shirokov · 2018
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“Semidefinite programming converse bounds for quantum communication”
Xin Wang, Kun Fang and Runyao Duan · 2018
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“The Theory of Quantum Information” Available at: https://cs.uwaterloo.ca/~watrous/TQI/
John Watrous · 2018
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Mark Wilde and Haoyu Qi · 2018
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“Quantum codes from neural networks”
Johannes Bausch and Felix Leditzky · 2020
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“Quantum flags and new bounds on the quantum capacity of the depolarizing channel”
Marco Fanizza, Farzad Kianvash and Vittorio Giovannetti · 2020
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“Optimal uniform continuity bound for conditional entropy of classical–quantum states”
Mark Wilde · 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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Omar Fawzi, Ala Shayeghi and Hoang Ta · 2021
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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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“Pursuing the Fundamental Limits for Quantum Communication”
Xin Wang · 2021
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“Generic nonadditivity of quantum capacity in simple channels”
Felix Leditzky, Debbie Leung, Vikesh Siddhu, Graeme Smith and John. Smolin · 2022
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“The platypus of the quantum channel zoo”
Felix Leditzky, Debbie Leung, Vikesh Siddhu, Graeme Smith and John. Smolin · 2022
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