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The capacities of noisy quantum channels capture the ultimate rates of information transmission across quantum communication lines, and the quantum capacity plays a key role in determining the overhead of fault-tolerant quantum computation platforms.
Beiträge zur Theorie der Toeplitzschen Formen
G. Szegő · 1920
Earlier work this paper cites.
On information and sufficiency
S. Kullback and R. A. Leibler · 1951
Earlier work this paper cites.
Positive functions on C*-algebras
W. F. Stinespring · 1955
Earlier work this paper cites.
Conditional expectation in an operator algebra. IV. Entropy and information
H. Umegaki · 1962
Earlier work this paper cites.
Quantum stochastic processes
E. B. Davies · 1969
Earlier work this paper cites.
Entropy, information and quantum measurements
G. Lindblad · 1973
Earlier work this paper cites.
Completely positive linear maps on complex matrices
M.-D. Choi · 1975
Earlier work this paper cites.
Quantum detection and estimation theory
C. W. Helstrom · 1976
Earlier work this paper cites.
The “transition probability” in the state space of a *-algebra
A. Uhlmann · 1976
Earlier work this paper cites.
Investigations in the general theory of statistical decisions
A. S. Holevo · 1978
Earlier work this paper cites.
States, effects and operations: fundamental notions of quantum theory
K. Kraus · 1983
Earlier work this paper cites.
Toeplitz forms and their applications
U. Grenander and G. Szegő · 1984
Earlier work this paper cites.
Quasi-entropies for finite quantum systems
D. Petz · 1986
Earlier work this paper cites.
On the distribution of the singular values of Toeplitz matrices
S. V. Parter · 1986
Earlier work this paper cites.
On bilinear forms in Gaussian random variables and Toeplitz matrices
F. Avram · 1988
Earlier work this paper cites.
Phase noise in photonic communications systems using linear amplifiers
J. P. Gordon and L. F. Mollenauer · 1990
Earlier work this paper cites.
Matrix Analysis
R. A. Horn and C. R. Johnson · 1990
Earlier work this paper cites.
The proper formula for relative entropy and its asymptotics in quantum probability
F. Hiai and D. Petz · 1991
Earlier work this paper cites.
Fundamental phase noise limit in optical fibres due to temperature fluctuations
K. H. Wanser · 1992
Earlier work this paper cites.
Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters · 1993
Earlier work this paper cites.
Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters · 1993
Earlier work this paper cites.
Algorithms for quantum computation: discrete logarithms and factoring
P. W. Shor · 1994
Earlier work this paper cites.
Scheme for reducing decoherence in quantum computer memory
P. W. Shor · 1995
Earlier work this paper cites.
A fast quantum mechanical algorithm for database search
L. K. Grover · 1996
Earlier work this paper cites.
Mixed-state entanglement and quantum error correction
C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters · 1996
Earlier work this paper cites.
Sending entanglement through noisy quantum channels
B. Schumacher · 1996
Earlier work this paper cites.
Quantum data processing and error correction
B. Schumacher and M. A. Nielsen · 1996
Earlier work this paper cites.
Capacities of quantum erasure channels
C. H. Bennett, D. P. DiVincenzo, and J. A. Smolin · 1997
Earlier work this paper cites.
Capacity of the noisy quantum channel
S. Lloyd · 1997
Earlier work this paper cites.
Distribution of the eigenvalues and singular numbers of Toeplitz matrices under weakened requirements on the generating function
N. L. Zamarashkin and E. E. Tyrtyshnikov · 1997
Earlier work this paper cites.
Fiber Optic Test and Measurement
D. Derickson · 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.
Methods of Modern Mathematical Physics: I: Functional Analysis
M. Reed and B. Simon · 1998
Earlier work this paper cites.
Quantum information theory
C.H. Bennett and P.W. Shor · 1998
Earlier work this paper cites.
Locally Toeplitz sequences: spectral properties and applications
P. Tilli · 1998
Earlier work this paper cites.
Cryptographic distinguishability measures for quantum-mechanical states
C. A. Fuchs and J. van de Graaf · 1999
Earlier work this paper cites.
Coding theorem and strong converse for quantum channels
A. Winter · 1999
Earlier work this paper cites.
Quantum Computation and Quantum Information
M. A. Nielsen and I. L. Chuang · 2000
Earlier work this paper cites.
On quantum fidelities and channel capacities
H. Barnum, E. Knill, and M. A. Nielsen · 2000
Earlier work this paper cites.
Toeplitz matrices, asymptotic linear algebra, and functional analysis
A. Böttcher and S. M. Grudsky · 2000
Earlier work this paper cites.
Directional statistics
K. V. Mardia and P. E. Jupp · 2000
Earlier work this paper cites.
Evaluating capacities of bosonic Gaussian channels
A. S. Holevo and R. F. Werner · 2001
Earlier work this paper cites.
Test functions, growth conditions and Toeplitz matrices
S. Serra-Capizzano · 2002
Cited alongside, same era.
The quantum channel capacity and coherent information
P. W. Shor · 2002
Cited alongside, same era.
Entanglement assisted capacity of the broadband lossy channel
V. Giovannetti, S. Lloyd, L. Maccone, and P. W. Shor · 2003
Cited alongside, same era.
Classical capacity of the lossy bosonic channel: The exact solution
V. Giovannetti, S. Guha, S. Lloyd, L. Maccone, J. H. Shapiro, and H. P. Yuen · 2004
Cited alongside, same era.
Entanglement-assisted capacities of constrained quantum channels
A. S. Holevo · 2004
Cited alongside, same era.
Tema con variazioni: quantum channel capacity
D. Kretschmann and R. F. Werner · 2004
Cited alongside, same era.
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V. Giovannetti, R. García-Patrón, N. J. Cerf, and A. S. Holevo · 2014
Later among the works it cites.
Polar codes for private and quantum communication over arbitrary channels
J. M. Renes and M. M. Wilde · 2014
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Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Rényi relative entropy
M. M. Wilde, A. Winter, and D. Yang · 2014
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Everything you always wanted to know about LOCC (but were afraid to ask)
E. Chitambar, D. Leung, L. Mančinska, M. Ozols, and A. Winter · 2014
Later among the works it cites.
Quantifying coherence
T. Baumgratz, M. Cramer, and M. B. Plenio · 2014
Later among the works it cites.
Second-order asymptotics for the classical capacity of image-additive quantum channels
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J. Åberg · 2004
Cited alongside, same era.
Decoherence, the measurement problem, and interpretations of quantum mechanics
M. Schlosshauer · 2005
Cited alongside, same era.
Fault-tolerant architecture for quantum computation using electrically controlled semiconductor spins
J. M. Taylor, H.-A. Engel, W. Dür, A. Yacoby, C. M. Marcus, P. Zoller, and M. D. Lukin · 2005
Cited alongside, same era.
The capacity of a quantum channel for simultaneous transmission of classical and quantum information
I. Devetak and P. W. Shor · 2005
Cited alongside, same era.
The private classical capacity and quantum capacity of a quantum channel
I. Devetak · 2005
Cited alongside, same era.
Distillation of secret key and entanglement from quantum states
I. Devetak and A. Winter · 2005
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M. Tomamichel and V. Y. F. Tan · 2015
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Operational resource theory of coherence
A. Winter and D. Yang · 2016
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E. Chitambar and M.-H. Hsieh · 2016
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M. Hayashi · 2017
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M. M. Wilde · 2017
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Converse bounds for private communication over quantum channels
M. M. Wilde, M. Tomamichel, and M. Berta · 2017
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Fundamental limits of repeaterless quantum communications
S. Pirandola, R. Laurenza, C. Ottaviani, and L. Banchi · 2017
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Moderate deviation analysis for classical communication over quantum channels
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Colloquium: Quantum coherence as a resource
A. Streltsov, G. Adesso, and M. B. Plenio · 2017
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A. M. Childs, D. Maslov, Y. Nam, N. J. Ross, and Y. Su · 2018
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S. Wehner, D. Elkouss, and R. Hanson · 2018
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Energy-constrained private and quantum capacities of quantum channels
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Bounding the energy-constrained quantum and private capacities of phase-insensitive bosonic Gaussian channels
K. Sharma, M. M. Wilde, S. Adhikari, and M. Takeoka · 2018
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Narrow bounds for the quantum capacity of thermal attenuators
M. Rosati, A. Mari, and V. Giovannetti · 2018
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Generalized locally Toeplitz sequences: theory and applications. Vol. I
C. Garoni and S. Serra-Capizzano · 2018
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One-shot coherence distillation
B. Regula, K. Fang, X. Wang, and G. Adesso · 2018
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Probabilistic distillation of quantum coherence
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A. Gilyén, Y. Su, G. Hao Low, and N. Wiebe · 2019
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Generic bound coherence under strictly incoherent operations
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F. Xu, X. Ma, Q. Zhang, H.-K. Lo, and J.-W. Pan · 2020
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A. Arqand, L. Memarzadeh, and S. Mancini · 2020
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M. Fanizza, M. Rosati, M. Skotiniotis, J. Calsamiglia, and V. Giovannetti · 2021
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