Fetching the paper…
Reading the bibliography…
Quantum channel capacities give the fundamental performance limits for information flow over a communication channel.
“A continuity property of the entropy density for spin lattice systems”
M. Fannes · 1973
Earlier work this paper cites.
“Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory”
A. Uhlmann · 1977
Earlier work this paper cites.
“Quasi-entropies for finite quantum systems”
D. Petz · 1986
Earlier work this paper cites.
“Separability of mixed states: necessary and sufficient conditions”
M. Horodecki, P. Horodecki, and R. Horodecki · 1996
Earlier work this paper cites.
“Separability Criterion for Density Matrices”
A. Peres · 1996
Earlier work this paper cites.
“Capacity of the noisy quantum channel”
S. Lloyd · 1997
Earlier work this paper cites.
“Sending classical information via noisy quantum channels”
B. Schumacher and M. D. Westmoreland · 1997
Earlier work this paper cites.
“Information transmission through a noisy quantum channel”
H. Barnum, M. A. Nielsen, and B. Schumacher · 1998
Earlier work this paper cites.
“Quantum-channel capacity of very noisy channels”
D. P. DiVincenzo, P. W. Shor, and J. A. Smolin · 1998
Earlier work this paper cites.
“The capacity of the quantum channel with general signal states”
A. S. Holevo · 1998
Earlier work this paper cites.
“Binding entanglement channels”
P. Horodecki, M. Horodecki, and R. Horodecki · 2000
Earlier work this paper cites.
“The quantum channel capacity and coherent information”
P. Shor · 2002
Earlier work this paper cites.
“Quantum entropy and its use”
M. Ohya and D. Petz · 2004
Earlier work this paper cites.
“The Private Classical Capacity and Quantum Capacity of a Quantum Channel”
I. Devetak · 2005
Earlier work this paper cites.
“The capacity of a quantum channel for simultaneous transmission of classical and quantum information”
I. Devetak and P. W. Shor · 2005
Earlier work this paper cites.
“Information-capacity description of spin-chain correlations”
V. Giovannetti and R. Fazio · 2005
Earlier work this paper cites.
“Secure Key from Bound Entanglement”
K. Horodecki, M. Horodecki, P. Horodecki, and J. Oppenheim · 2005
Earlier work this paper cites.
“A simple proof of the strong subadditivity inequality”
M. A. Nielsen and D. Petz · 2005
Earlier work this paper cites.
“Simplifying additivity problems using direct sum constructions”
M. Fukuda and M. M. Wolf · 2007
Earlier work this paper cites.
Quantum information theory and quantum statistics
D. Petz · 2007
Earlier work this paper cites.
“Structured Codes Improve the Bennett-Brassard-84 Quantum Key Rate”
G. Smith, J. M. Renes, and J. A. Smolin · 2008
Earlier work this paper cites.
“Additive extensions of a quantum channel”
G. Smith and J. A. Smolin · 2008
Earlier work this paper cites.
“The Quantum Capacity With Symmetric Side Channels”
G. Smith, J. A. Smolin, and A. Winter · 2008
Earlier work this paper cites.
“Quantum Communication with Zero-Capacity Channels”
G. Smith and J. Yard · 2008
Cited alongside, same era.
“Continuity of Quantum Channel Capacities”
D. Leung and G. Smith · 2009
Cited alongside, same era.
“Conjugate degradability and the quantum capacity of cloning channels”
K. Brádler, N. Dutil, P. Hayden, and A. Muhammad · 2010
Cited alongside, same era.
“Leaking information to gain entanglement”
V. Siddhu · 2011
Cited alongside, same era.
“Quantum communication with Gaussian channels of zero quantum capacity”
G. Smith, J. A. Smolin, and J. Yard · 2011
Cited alongside, same era.
“Comparison of quantum statistical models: equivalent conditions for sufficiency”
F. Buscemi · 2012
“Quantum Flags and New Bounds on the Quantum Capacity of the Depolarizing Channel”
M. Fanizza, F. Kianvash, and V. Giovannetti · 2020
Later among the works it cites.
“An Alphabet-Size Bound for the Information Bottleneck Function”
C. Hirche and A. Winter · 2020
Later among the works it cites.
“Partially Coherent Direct Sum Channels”
S. Chessa and V. Giovannetti · 2021
Later among the works it cites.
“Quantum capacity analysis of multi-level amplitude damping channels”
S. Chessa and V. Giovannetti · 2021
Later among the works it cites.
“Capacity of trace decreasing quantum operations and superadditivity of coherent information for a generalized erasure channel”
S. N. Filippov · 2021
Later among the works it cites.
“Entropic singularities give rise to quantum transmission”
V. Siddhu · 2021
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
“Private and quantum capacities of more capable and less noisy quantum channels”
S. Watanabe · 2012
Cited alongside, same era.
“Quantum channels and operations-guided tour”
M. M. Wolf · 2012
Cited alongside, same era.
Quantum information theory
M. M. Wilde · 2013
Cited alongside, same era.
“On Dimension Bounds for Auxiliary Quantum Systems”
S. Beigi and A. Gohari · 2014
Cited alongside, same era.
“Unbounded number of channel uses may be required to detect quantum capacity”
T. Cubitt, D. Elkouss, W. Matthews, M. Ozols, D. Pérez-García, and S. Strelchuk · 2015
Cited alongside, same era.
“Stability of Local Quantum Dissipative Systems”
T. S. Cubitt, A. Lucia, S. Michalakis, and D. Perez-Garcia · 2015
Cited alongside, same era.
Later among the works it cites.
“Positivity and Nonadditivity of Quantum Capacities Using Generalized Erasure Channels”
V. Siddhu and R. B. Griffiths · 2021
Later among the works it cites.
“Pursuing the Fundamental Limits for Quantum Communication”
X. Wang · 2021
Later among the works it cites.
“On contraction coefficients, partial orders and approximation of capacities for quantum channels”
C. Hirche, C. Rouzé, and D. Stilck França · 2022
Later among the works it cites.
“Stability of Logarithmic Sobolev Inequalities Under a Noncommutative Change of Measure”
M. Junge, N. Laracuente, and C. Rouzé · 2022
Later among the works it cites.
“Stability property for the quantum jump operators of an open system”
M. Junge and P. Wu · 2022
Later among the works it cites.
“Bounding the quantum capacity with flagged extensions”
F. Kianvash, M. Fanizza, and V. Giovannetti · 2022
Later among the works it cites.
“How Deep the Theory of Quantum Communications Goes: Superadditivity, Superactivation and Causal Activation”
S. Koudia, A. S. Cacciapuoti, K. Simonov, and M. Caleffi · 2022
Later among the works it cites.
“Exploring superadditivity of coherent information of noisy quantum channels through genetic algorithms”
G. L. Sidhardh, M. Alimuddin, and M. Banik · 2022
Later among the works it cites.
“Resonant Multilevel Amplitude Damping Channels”
S. Chessa and V. Giovannetti · 2023
Later among the works it cites.
“Generic Nonadditivity of Quantum Capacity in Simple Channels”
F. Leditzky, D. Leung, V. Siddhu, G. Smith, and J. A. Smolin · 2023
Later among the works it cites.
“The Platypus of the Quantum Channel Zoo”
F. Leditzky, D. Leung, V. Siddhu, G. Smith, and J. A. Smolin · 2023
Later among the works it cites.
“Refining Ky Fan’s majorization relation with linear programming”
M. A. Alhejji · 2024
Closest in time.
“Towards a Resolution of the Spin Alignment Problem”
M. A. Alhejji and E. Knill · 2024
Closest in time.
“Continuity bounds for quantum entropies arising from a fundamental entropic inequality”
K. Audenaert, B. Bergh, N. Datta, M. G. Jabbour, Ángela Capel, and P. Gondolf · 2024
Closest in time.
“Reverse-type Data Processing Inequality”
P. Belzig, L. Gao, G. Smith, and P. Wu · 2024
Closest in time.
“Continuity of entropies via integral representations”
M. Berta, L. Lami, and M. Tomamichel · 2025
Closest in time.