General properties of holographic entanglement entropy
A bstract The Ryu-Takayanagi formula implies many general properties of entanglement entropies in holographic theories. We review the known properties, such as continuity, strong subadditivity, and monogamy of mutual information, and fill in gaps in some of the previously-published proofs. We also a...
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| Veröffentlicht in: | The journal of high energy physics 2014-03, Vol.2014 (3), p.1-28, Article 85 |
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| container_title | The journal of high energy physics |
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| creator | Headrick, Matthew |
| description | A
bstract
The Ryu-Takayanagi formula implies many general properties of entanglement entropies in holographic theories. We review the known properties, such as continuity, strong subadditivity, and monogamy of mutual information, and fill in gaps in some of the previously-published proofs. We also add a few new properties, including: properties of the map from boundary regions to bulk regions implied by the RT formula, such as monotonicity; conditions under which subadditivity-type inequalities are saturated; and an inequality concerning reflection-symmetric states. We attempt to draw lessons from these properties about the structure of the reduced density matrix in holographic theories. |
| doi_str_mv | 10.1007/JHEP03(2014)085 |
| format | Article |
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bstract
The Ryu-Takayanagi formula implies many general properties of entanglement entropies in holographic theories. We review the known properties, such as continuity, strong subadditivity, and monogamy of mutual information, and fill in gaps in some of the previously-published proofs. We also add a few new properties, including: properties of the map from boundary regions to bulk regions implied by the RT formula, such as monotonicity; conditions under which subadditivity-type inequalities are saturated; and an inequality concerning reflection-symmetric states. We attempt to draw lessons from these properties about the structure of the reduced density matrix in holographic theories.</description><identifier>ISSN: 1029-8479</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP03(2014)085</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Boundaries ; Classical and Quantum Gravitation ; Continuity ; Density ; Elementary Particles ; Entanglement ; Entropy ; High energy physics ; Inequalities ; Physics ; Physics and Astronomy ; Proving ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Relativity Theory ; String Theory</subject><ispartof>The journal of high energy physics, 2014-03, Vol.2014 (3), p.1-28, Article 85</ispartof><rights>The Author(s) 2014</rights><rights>SISSA, Trieste, Italy 2014</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c384t-5a8ca1ade89330bd13e5628d33876d7c8fb828c3265b16ae8c3c0d425b98bc863</citedby><cites>FETCH-LOGICAL-c384t-5a8ca1ade89330bd13e5628d33876d7c8fb828c3265b16ae8c3c0d425b98bc863</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/JHEP03(2014)085$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://doi.org/10.1007/JHEP03(2014)085$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>314,776,780,860,27903,27904,41099,41467,42168,42536,51298,51555</link.rule.ids></links><search><creatorcontrib>Headrick, Matthew</creatorcontrib><title>General properties of holographic entanglement entropy</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
The Ryu-Takayanagi formula implies many general properties of entanglement entropies in holographic theories. We review the known properties, such as continuity, strong subadditivity, and monogamy of mutual information, and fill in gaps in some of the previously-published proofs. We also add a few new properties, including: properties of the map from boundary regions to bulk regions implied by the RT formula, such as monotonicity; conditions under which subadditivity-type inequalities are saturated; and an inequality concerning reflection-symmetric states. We attempt to draw lessons from these properties about the structure of the reduced density matrix in holographic theories.</description><subject>Boundaries</subject><subject>Classical and Quantum Gravitation</subject><subject>Continuity</subject><subject>Density</subject><subject>Elementary Particles</subject><subject>Entanglement</subject><subject>Entropy</subject><subject>High energy physics</subject><subject>Inequalities</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Proving</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Relativity Theory</subject><subject>String Theory</subject><issn>1029-8479</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp1kL1PwzAQxS0EEqUws0ZiKUOoPxL7MqKqtKBKMMBsOc6lTZUmwU6G_ve4CkOFxHTvpN97unuE3DP6xChV87f18oOKGacseaSQXpAJozyLIVHZ5Zm-Jjfe7yllKcvohMgVNuhMHXWu7dD1FfqoLaNdW7dbZ7pdZSNsetNsazwEcVoCeLwlV6WpPd79zin5ell-Ltbx5n31unjexFZA0sepAWuYKRAyIWheMIGp5FAIAUoWykKZAwcruExzJg0GaWmR8DTPILcgxZTMxtxw3veAvteHylusa9NgO3jNlAqPgVQQ0Ic_6L4dXBOu00ymHGSiOAvUfKSsa713WOrOVQfjjppRfepRjz3qU4869BgcdHT4QDZbdGe5_1h-AGSpc-g</recordid><startdate>20140301</startdate><enddate>20140301</enddate><creator>Headrick, Matthew</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20140301</creationdate><title>General properties of holographic entanglement entropy</title><author>Headrick, Matthew</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c384t-5a8ca1ade89330bd13e5628d33876d7c8fb828c3265b16ae8c3c0d425b98bc863</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Boundaries</topic><topic>Classical and Quantum Gravitation</topic><topic>Continuity</topic><topic>Density</topic><topic>Elementary Particles</topic><topic>Entanglement</topic><topic>Entropy</topic><topic>High energy physics</topic><topic>Inequalities</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Proving</topic><topic>Quantum Field Theories</topic><topic>Quantum Field Theory</topic><topic>Quantum Physics</topic><topic>Relativity Theory</topic><topic>String Theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Headrick, Matthew</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>The journal of high energy physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Headrick, Matthew</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>General properties of holographic entanglement entropy</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. 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bstract
The Ryu-Takayanagi formula implies many general properties of entanglement entropies in holographic theories. We review the known properties, such as continuity, strong subadditivity, and monogamy of mutual information, and fill in gaps in some of the previously-published proofs. We also add a few new properties, including: properties of the map from boundary regions to bulk regions implied by the RT formula, such as monotonicity; conditions under which subadditivity-type inequalities are saturated; and an inequality concerning reflection-symmetric states. We attempt to draw lessons from these properties about the structure of the reduced density matrix in holographic theories.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP03(2014)085</doi><tpages>28</tpages><oa>free_for_read</oa></addata></record> |
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| source | DOAJ Directory of Open Access Journals; Springer Nature OA Free Journals; Springer Nature - Complete Springer Journals; EZB-FREE-00999 freely available EZB journals; Alma/SFX Local Collection |
| subjects | Boundaries Classical and Quantum Gravitation Continuity Density Elementary Particles Entanglement Entropy High energy physics Inequalities Physics Physics and Astronomy Proving Quantum Field Theories Quantum Field Theory Quantum Physics Relativity Theory String Theory |
| title | General properties of holographic entanglement entropy |
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