A holographic proof of the strong subadditivity of entanglement entropy

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dc.creatorHeadrick, Matthew
dc.creatorTakayanagi, Tadashi
dc.date2007-04-27
dc.date.accessioned2026-07-07T10:59:48Z
dc.date.available2026-07-07T10:59:48Z
dc.descriptionWhen 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.
dc.description9 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0704.3719
dc.identifierhttp://arxiv.org/abs/0704.3719
dc.identifierPhys.Rev.D76:106013,2007
dc.identifierdoi:10.1103/PhysRevD.76.106013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187530
dc.subjectHigh Energy Physics - Theory
dc.subjectStatistical Mechanics
dc.subjectQuantum Physics
dc.titleA holographic proof of the strong subadditivity of entanglement entropy
dc.typetext

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