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We demonstrate the convexity of the difference between the regularized entanglement of purification and the entropy, as a function of the state.
The Common Information of Two Dependent Random Variables
A. D. Wyner · 1975
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Communication via One- and Two-Particle Operators on Einstein-Podolsky-Rosen States
C. H. Bennett and S. J. Wiesner · 1992
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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
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Concentrating partial entanglement by local operations
C. H. Bennett, H. J. Bernstein, S. Popescu, and W. K. Wootters · 1996
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Concentrating entanglement by local actions: Beyond mean values
H.-K. Lo and S. Popescu · 2001
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Entanglement measures under symmetry
K. G. H. Vollbrecht and R. F. Werner · 2001
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The Entanglement of Purification
B. M. Terhal, M. Horodecki, D. W. Leung, and D. P. DiVincenzo · 2002
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Counterexample to an additivity conjecture for output purity of quantum channels
R. F. Werner and A. S. Holevo · 2002
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Strong Converse for Identification via Quantum Channels
R. Ahlswede and A. Winter · 2002
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Communication cost of entanglement transformations
P. Hayden and A. Winter · 2003
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A tight lower bound on the classical communication cost of entanglement dilution
A. W. Harrow and H.-K. Lo · 2004
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“extrinsic” and “Intrinsic” Data in Quantum Measurements: Asymptotic Convex Decomposition of Positive Operator Valued Measures
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Uncertainty, Monogamy and Locking of Quantum Correlations
M. Christandl and A. Winter · 2005
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Quantum, classical, and total amount of correlations in a quantum state
B. Groisman, S. Popescu, and A. Winter · 2005
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Private communication
John Smolin, 2005 · 2005
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Robustness of Quantum Markov Chains
B. Ibinson, N. Linden, and A. Winter · 2008
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Quantum Communication with Zero-Capacity Channels
G. Smith and J. T. Yard · 2008
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Counterexamples to the Maximal p-Norm Multiplicativity Conjecture for all p > 1 p>1
P. Hayden and A. Winter · 2008
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Quantum entanglement
R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki · 2009
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Superadditivity of communication capacity using entangled inputs
M. B. Hastings · 2009
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From Classical to Quantum Shannon Theory
M. M. Wilde · 2011
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Secret, public and quantum correlation cost of triples of random variables
A. Winter · 2005
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Optimal visible compression rate for mixed states is determined by entanglement of purification
M. Hayashi · 2006
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The quantum reverse shannon theorem and resource tradeoffs for simulating quantum channels
C. H. Bennett, I. Devetak, A. W. Harrow, P. W. Shor, and A. Winter · 2012
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On quantum advantage in dense coding
M. Horodecki and M. Piani · 2012
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