Entanglement dynamics of the non-unitary holographic channel
Abstract We study the dynamical properties of a strongly scrambling quantum circuit involving a projective measurement on a finite-sized region by studying the operator entanglement entropy and mutual information (OEE and BOMI) of the dual operator state that corresponds to this quantum circuit. The...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-03-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2023)101 |
| _version_ | 1797795953228382208 |
|---|---|
| author | Kanato Goto Masahiro Nozaki Kotaro Tamaoka Mao Tian Tan |
| author_facet | Kanato Goto Masahiro Nozaki Kotaro Tamaoka Mao Tian Tan |
| author_sort | Kanato Goto |
| collection | DOAJ |
| description | Abstract We study the dynamical properties of a strongly scrambling quantum circuit involving a projective measurement on a finite-sized region by studying the operator entanglement entropy and mutual information (OEE and BOMI) of the dual operator state that corresponds to this quantum circuit. The time-dependence of the OEE exhibits a new dynamical behavior of operator entanglement, namely an additional fractional coefficient that accompanies the linear time growth of the OEE. For a holographic system, this is equivalent to an additional fractional coefficient that modifies the linear growth rate of the wormhole volume. The time-dependence of the BOMI shows that the projective measurement may destroy the non-local correlations in this dual state. We also propose a gravity dual as well as a line-tension picture, which is an effective model, that describe this strongly scrambling quantum circuit. |
| first_indexed | 2024-03-13T03:25:48Z |
| format | Article |
| id | doaj.art-fa41463ca3b947f6bca47393fb305418 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-13T03:25:48Z |
| publishDate | 2023-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-fa41463ca3b947f6bca47393fb3054182023-06-25T11:06:42ZengSpringerOpenJournal of High Energy Physics1029-84792023-03-012023314410.1007/JHEP03(2023)101Entanglement dynamics of the non-unitary holographic channelKanato Goto0Masahiro Nozaki1Kotaro Tamaoka2Mao Tian Tan3Department of Physics, Princeton UniversityKavli Institute for Theoretical Sciences, University of Chinese Academy of SciencesDepartment of Physics, College of Humanities and Sciences, Nihon UniversityAsia Pacific Center for Theoretical PhysicsAbstract We study the dynamical properties of a strongly scrambling quantum circuit involving a projective measurement on a finite-sized region by studying the operator entanglement entropy and mutual information (OEE and BOMI) of the dual operator state that corresponds to this quantum circuit. The time-dependence of the OEE exhibits a new dynamical behavior of operator entanglement, namely an additional fractional coefficient that accompanies the linear time growth of the OEE. For a holographic system, this is equivalent to an additional fractional coefficient that modifies the linear growth rate of the wormhole volume. The time-dependence of the BOMI shows that the projective measurement may destroy the non-local correlations in this dual state. We also propose a gravity dual as well as a line-tension picture, which is an effective model, that describe this strongly scrambling quantum circuit.https://doi.org/10.1007/JHEP03(2023)101AdS-CFT CorrespondenceBlack Holes |
| spellingShingle | Kanato Goto Masahiro Nozaki Kotaro Tamaoka Mao Tian Tan Entanglement dynamics of the non-unitary holographic channel Journal of High Energy Physics AdS-CFT Correspondence Black Holes |
| title | Entanglement dynamics of the non-unitary holographic channel |
| title_full | Entanglement dynamics of the non-unitary holographic channel |
| title_fullStr | Entanglement dynamics of the non-unitary holographic channel |
| title_full_unstemmed | Entanglement dynamics of the non-unitary holographic channel |
| title_short | Entanglement dynamics of the non-unitary holographic channel |
| title_sort | entanglement dynamics of the non unitary holographic channel |
| topic | AdS-CFT Correspondence Black Holes |
| url | https://doi.org/10.1007/JHEP03(2023)101 |
| work_keys_str_mv | AT kanatogoto entanglementdynamicsofthenonunitaryholographicchannel AT masahironozaki entanglementdynamicsofthenonunitaryholographicchannel AT kotarotamaoka entanglementdynamicsofthenonunitaryholographicchannel AT maotiantan entanglementdynamicsofthenonunitaryholographicchannel |