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Z. Zhang and R. Yeung, A non-shannon-type conditional inequality of information quantities
1986
Earlier work this paper cites.
Z. Zhang and R. Yeung, On characterization of entropy function via information inequalities
1998
Earlier work this paper cites.
N. Pippenger, The inequalities of quantum information theory
2002
Earlier work this paper cites.
J. Preskill, “Lecture notes on quantum computation.” 2004
2004
Earlier work this paper cites.
N. Linden and A. Winter, A New Inequality for the von Neumann Entropy
2005
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic Derivation of Entanglement Entropy from the anti de Sitter Space/Conformal Field Theory Correspondence
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Aspects of holographic entanglement entropy
2006
Earlier work this paper cites.
A. Kitaev and J. Preskill, Topological Entanglement Entropy
2006
Earlier work this paper cites.

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2015

Bao, Ning, Cao, ChunJun, Walter, Michael et al.

We extend our studies of holographic entropy inequalities to gapped phases of matter.

For any number of regions, we determine the linear entropy inequalities satisfied by systems in which the entanglement entropy satisfies an exact area law.
In particular, we find that all holographic entropy inequalities are valid in such systems.
In gapped systems with topological order, the "cyclic inequalities" derived recently for the holographic entanglement entropy generalize the Kitaev-Preskill formula for the topological entanglement entropy.

Z. Zhang and R. Yeung, A non-shannon-type conditional inequality of information quantities
1986
Earlier work this paper cites.
Z. Zhang and R. Yeung, On characterization of entropy function via information inequalities
1998
Earlier work this paper cites.
N. Pippenger, The inequalities of quantum information theory
2002
Earlier work this paper cites.
J. Preskill, “Lecture notes on quantum computation.” 2004
2004
Earlier work this paper cites.
N. Linden and A. Winter, A New Inequality for the von Neumann Entropy
2005
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic Derivation of Entanglement Entropy from the anti de Sitter Space/Conformal Field Theory Correspondence
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Aspects of holographic entanglement entropy
2006
Earlier work this paper cites.
A. Kitaev and J. Preskill, Topological Entanglement Entropy
2006
Earlier work this paper cites.

M. Levin and X.-G. Wen, Detecting Topological Order in a Ground State Wave Function
2006
Cited alongside, same era.
D. Gioev and I. Klich, Entanglement Entropy of Fermions in Any Dimension and the Widom Conjecture
2006
Cited alongside, same era.
PhD thesis, University of Bristol, 2006
B. Ibinson, Quantum Information and Entropy · 2006
Cited alongside, same era.
R. Dougherty, C. Freiling, and K. Zeger, Six new non-shannon information inequalities
Original
2006
Cited alongside, same era.
M. M. Wolf, F. Verstraete, M. B. Hastings, and J. I. Cirac, Area Laws in Quantum Systems: Mutual Information and Correlations
Original
2008
Cited alongside, same era.