Thread/State correspondence: from bit threads to qubit threads

Abstract Starting from an interesting coincidence between the bit threads and SS (surface/state) correspondence, both of which are closely related to the holographic RT formula, we introduce a property of bit threads that has not been explicitly proposed before, which can be referred to as thread/st...

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Main Authors: Yi-Yu Lin, Jie-Chen Jin
Format: Article
Language:English
Published: SpringerOpen 2023-02-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP02(2023)245
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author Yi-Yu Lin
Jie-Chen Jin
author_facet Yi-Yu Lin
Jie-Chen Jin
author_sort Yi-Yu Lin
collection DOAJ
description Abstract Starting from an interesting coincidence between the bit threads and SS (surface/state) correspondence, both of which are closely related to the holographic RT formula, we introduce a property of bit threads that has not been explicitly proposed before, which can be referred to as thread/state correspondence (see [50] for a brief pre-release version). Using this thread/state correspondence, we can construct the explicit expressions for the SS states corresponding to a set of bulk extremal surfaces in the SS correspondence, and nicely characterize their entanglement structure. Based on this understanding, we use the locking bit thread configurations to construct a holographic qubit threads model as a new toy model of the holographic principle, and show that it is closely related to the holographic tensor networks, the kinematic space, and the connectivity of spacetime.
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spelling doaj.art-ff322d82dd1d4eb2ad4fc843ebbb26192023-07-16T11:07:41ZengSpringerOpenJournal of High Energy Physics1029-84792023-02-012023214610.1007/JHEP02(2023)245Thread/State correspondence: from bit threads to qubit threadsYi-Yu Lin0Jie-Chen Jin1Beijing Institute of Mathematical Sciences and Applications (BIMSA)School of Physics and Astronomy, Sun Yat-Sen UniversityAbstract Starting from an interesting coincidence between the bit threads and SS (surface/state) correspondence, both of which are closely related to the holographic RT formula, we introduce a property of bit threads that has not been explicitly proposed before, which can be referred to as thread/state correspondence (see [50] for a brief pre-release version). Using this thread/state correspondence, we can construct the explicit expressions for the SS states corresponding to a set of bulk extremal surfaces in the SS correspondence, and nicely characterize their entanglement structure. Based on this understanding, we use the locking bit thread configurations to construct a holographic qubit threads model as a new toy model of the holographic principle, and show that it is closely related to the holographic tensor networks, the kinematic space, and the connectivity of spacetime.https://doi.org/10.1007/JHEP02(2023)245AdS-CFT CorrespondenceGauge-Gravity CorrespondenceModels of Quantum Gravity
spellingShingle Yi-Yu Lin
Jie-Chen Jin
Thread/State correspondence: from bit threads to qubit threads
Journal of High Energy Physics
AdS-CFT Correspondence
Gauge-Gravity Correspondence
Models of Quantum Gravity
title Thread/State correspondence: from bit threads to qubit threads
title_full Thread/State correspondence: from bit threads to qubit threads
title_fullStr Thread/State correspondence: from bit threads to qubit threads
title_full_unstemmed Thread/State correspondence: from bit threads to qubit threads
title_short Thread/State correspondence: from bit threads to qubit threads
title_sort thread state correspondence from bit threads to qubit threads
topic AdS-CFT Correspondence
Gauge-Gravity Correspondence
Models of Quantum Gravity
url https://doi.org/10.1007/JHEP02(2023)245
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AT jiechenjin threadstatecorrespondencefrombitthreadstoqubitthreads