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The chain rule for the Shannon and von Neumann entropy, which relates the total entropy of a system to the entropies of its parts, is of central importance to information theory.
A mathematical theory of communication
C. Shannon · 1948
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The transition probability in the state space of a *-a
A. Uhlmann · 1976
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Quantum Computation and Quantum Information
M. A. Nielsen and I. Chuang · 2000
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A Course in Convexity
A. Barvinok · 2002
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Smooth Rényi entropy and applications
R. Renner and S. Wolf · 2004
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Security of Quantum Key Distribution
R. Renner · 2005
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Universally composable privacy amplification against quantum adversaries
R. Renner and R. König · 2005
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Discriminating states: The quantum Chernoff bound
K. Audenaert, J. Calsamiglia, R. Muñoz-Tapia, E. Bagen, L. Masanes, A. Acin, and F. Verstraete · 2007
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Single-shot quantum state merging
M. Berta · 2008
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Min- and max-relative entropies and a new entanglement monotone
N. Datta · 2009
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The Decoupling Approach to Quantum Information Theory
F. Dupuis · 2009
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The operational meaning of min- and max-entropy
R. König, R. Renner, and C. Schaffner · 2009
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A fully quantum asymptotic equipartition property
M. Tomamichel, R. Colbeck, and R. Renner · 2009
F. Dupuis, M. Berta, J. Wullschleger, and R. Renner · 2010
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Duality between smooth min- and max-entropies
M. Tomamichel, R. Colbeck, and R. Renner · 2010
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Leftover hashing against quantum side information
M. Tomamichel, R. Renner, C. Schaffner, and A. Smith · 2010
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The thermodynamic meaning of negative entropy
L. del Rio, J. Aberg, R. Renner, O. C. O. Dahlsten, and V. Vedral · 2011
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Theory of quantum information, Fall 2011
J. Watrous · 2011
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Impossibility of growing quantum bit commitments
S. Winkler, M. Tomamichel, S. Hengl, and R. Renner · 2011
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The uncertainty principle in the presence of quantum memory
M. Berta, M. Christandl, R. Colbeck, J. Rennes, and R. Renner · 2010
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A Framework for Non-Asymptotic Quantum Information Theory
M. Tomamichel · 2012
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