%0 Journal Article %1 Headrick2007Holographic %A Headrick, Matthew %A Takayanagi, Tadashi %D 2007 %J Physical Review D %K entanglement %N 10 %R 10.1103/physrevd.76.106013 %T A holographic proof of the strong subadditivity of entanglement entropy %U http://dx.doi.org/10.1103/physrevd.76.106013 %V 76 %X 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) S(A B) + S(A 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.

@article{Headrick2007Holographic, 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.}}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Headrick, Matthew and Takayanagi, Tadashi}, biburl = {https://www.bibsonomy.org/bibtex/2a07a439f6e45c838da69c9d2b8945c4b/acastro}, citeulike-article-id = {12136388}, citeulike-linkout-0 = {http://arxiv.org/abs/0704.3719}, citeulike-linkout-1 = {http://arxiv.org/pdf/0704.3719}, citeulike-linkout-2 = {http://dx.doi.org/10.1103/physrevd.76.106013}, day = 27, doi = {10.1103/physrevd.76.106013}, eprint = {0704.3719}, interhash = {d64134c7fdf67599da9c25c4f8605c4f}, intrahash = {a07a439f6e45c838da69c9d2b8945c4b}, issn = {1550-7998}, journal = {Physical Review D}, keywords = {entanglement}, month = apr, number = 10, posted-at = {2013-03-11 18:41:42}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{A holographic proof of the strong subadditivity of entanglement entropy}}, url = {http://dx.doi.org/10.1103/physrevd.76.106013}, volume = 76, year = 2007 }