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Entanglement Theory Quantum Correlations
A holographic proof of the strong subadditivity of entanglement entropy
arXiv
Authors: Matthew Headrick, Tadashi Takayanagi
Year
2007
Paper ID
50461
Status
Preprint
Abstract Read
~2 min
Abstract Words
92
Citations
N/A
Abstract
When a quantum system is divided into subsystems, their entanglement entropies are subject to an inequality known as "strong subadditivity". For a field theory this inequality can be stated as follows: given any two regions of space A and B, S(A) + S(B) ge S\(A cup B\) + S\(A cap B\). Recently, a method has been found for computing entanglement entropies in any field theory for which there is a holographically dual gravity theory. In this note we give a simple geometrical proof of strong subadditivity employing this holographic prescription.
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- This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
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- When a quantum system is divided into subsystems, their entanglement entropies are subject to an inequality known as "strong subadditivity".
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