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We show that the proof of the generalised quantum Stein's lemma [Brand\~ao & Plenio, Commun.
Über die Verteilung der Wurzeln bei gewissen algebraischen Gleichungen mit ganzzahligen Koeffizienten
M. Fekete · 1923
Earlier work this paper cites.
On information and sufficiency
S. Kullback and R. A. Leibler · 1951
Earlier work this paper cites.
Convex trace functions and the Wigner-Yanase-Dyson conjecture
E. H. Lieb · 1973
Earlier work this paper cites.
A fundamental property of quantum-mechanical entropy
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Earlier work this paper cites.
Proof of the strong subadditivity of quantum mechanical entropy
E. H. Lieb and M. B. Ruskai · 1973
Earlier work this paper cites.
Completely positive maps and entropy inequalities
G. Lindblad · 1975
Earlier work this paper cites.
Quantum detection and estimation theory
C. W. Helstrom · 1976
Earlier work this paper cites.
Investigations in the general theory of statistical decisions
A. S. Holevo · 1978
Earlier work this paper cites.
On the relative entropy
M. J. Donald · 1986
Earlier work this paper cites.
Quasi-entropies for finite quantum systems
D. Petz · 1986
Earlier work this paper cites.
Sufficient subalgebras and the relative entropy of states of a von Neumann algebra
D. Petz · 1986
Earlier work this paper cites.
Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
R. F. Werner · 1989
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.
Purification of noisy entanglement and faithful teleportation via noisy channels
C. H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. A. Smolin, and W. K. Wootters · 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.
Separability criterion for density matrices
A. Peres · 1996
Earlier work this paper cites.
Quantifying entanglement
V. Vedral, M. B. Plenio, M. A. Rippin, and P. L. Knight · 1997
Earlier work this paper cites.
Mixed-state entanglement and distillation: Is there a “bound” entanglement in nature?
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Earlier work this paper cites.
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V. Vedral and M. B. Plenio · 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.
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R. R. Tucci · 1999
Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
Robustness of quantum gates in the presence of noise
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Earlier work this paper cites.
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M. Christandl and A. Winter · 2004
Earlier work this paper cites.
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Later among the works it cites.
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