Deriving the PEE proposal from the locking bit thread configuration

A bstract In the holographic framework, we argue that the partial entanglement entropy (PEE) can be explicitly interpreted as the component flow flux in a locking bit thread configuration. By applying the locking theorem of bit threads, and constructing a concrete locking scheme, we obtain a set of...

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Published inThe journal of high energy physics Vol. 2021; no. 10; pp. 1 - 30
Main Authors Lin, Yi-Yu, Sun, Jia-Rui, Zhang, Jun
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 20.10.2021
Springer Nature B.V
SpringerOpen
Subjects
AdS-CFT Correspondence
Classical and Quantum Gravitation
Concrete construction
Configurations
Conformal Field Theory
Elementary Particles
Entanglement
Entropy
Gauge-gravity correspondence
High energy physics
Locking
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Spacetime
String Theory
Symmetry
AdS-CFT Correspondence
Gauge-gravity correspondence
Conformal Field Theory
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Abstract A bstract In the holographic framework, we argue that the partial entanglement entropy (PEE) can be explicitly interpreted as the component flow flux in a locking bit thread configuration. By applying the locking theorem of bit threads, and constructing a concrete locking scheme, we obtain a set of uniquely determined component flow fluxes from this viewpoint, and successfully derive the PEE proposal and its generalized version in the multipartite cases. Moreover, from this perspective of bit threads, we also present a coherent explanation for the coincidence between the BPE (balanced partial entanglement)/EWCS (entanglement wedge cross section) duality proposed recently and the EoP (entanglement of purification)/EWCS duality. We also discuss the issues implied by this coincident between the idea of the PEE and the picture of locking thread configuration.
AbstractList A bstract In the holographic framework, we argue that the partial entanglement entropy (PEE) can be explicitly interpreted as the component flow flux in a locking bit thread configuration. By applying the locking theorem of bit threads, and constructing a concrete locking scheme, we obtain a set of uniquely determined component flow fluxes from this viewpoint, and successfully derive the PEE proposal and its generalized version in the multipartite cases. Moreover, from this perspective of bit threads, we also present a coherent explanation for the coincidence between the BPE (balanced partial entanglement)/EWCS (entanglement wedge cross section) duality proposed recently and the EoP (entanglement of purification)/EWCS duality. We also discuss the issues implied by this coincident between the idea of the PEE and the picture of locking thread configuration.
In the holographic framework, we argue that the partial entanglement entropy (PEE) can be explicitly interpreted as the component flow flux in a locking bit thread configuration. By applying the locking theorem of bit threads, and constructing a concrete locking scheme, we obtain a set of uniquely determined component flow fluxes from this viewpoint, and successfully derive the PEE proposal and its generalized version in the multipartite cases. Moreover, from this perspective of bit threads, we also present a coherent explanation for the coincidence between the BPE (balanced partial entanglement)/EWCS (entanglement wedge cross section) duality proposed recently and the EoP (entanglement of purification)/EWCS duality. We also discuss the issues implied by this coincident between the idea of the PEE and the picture of locking thread configuration.
Abstract In the holographic framework, we argue that the partial entanglement entropy (PEE) can be explicitly interpreted as the component flow flux in a locking bit thread configuration. By applying the locking theorem of bit threads, and constructing a concrete locking scheme, we obtain a set of uniquely determined component flow fluxes from this viewpoint, and successfully derive the PEE proposal and its generalized version in the multipartite cases. Moreover, from this perspective of bit threads, we also present a coherent explanation for the coincidence between the BPE (balanced partial entanglement)/EWCS (entanglement wedge cross section) duality proposed recently and the EoP (entanglement of purification)/EWCS duality. We also discuss the issues implied by this coincident between the idea of the PEE and the picture of locking thread configuration.
ArticleNumber 164
Author Lin, Yi-Yu
Zhang, Jun
Sun, Jia-Rui
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  givenname: Jia-Rui
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  fullname: Sun, Jia-Rui
  organization: School of Physics and Astronomy, Sun Yat-Sen University
– sequence: 3
  givenname: Jun
  surname: Zhang
  fullname: Zhang, Jun
  organization: School of Physics and Astronomy, Sun Yat-Sen University
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Cites_doi 10.1007/JHEP07(2017)117
10.1007/JHEP12(2019)063
10.1103/PhysRevResearch.2.023170
10.1088/1742-5468/ab4e8f
10.1088/1742-5468/aab67d
10.1007/JHEP03(2021)178
10.1103/PhysRevLett.96.181602
10.1088/1742-5468/2014/10/P10011
10.1007/JHEP06(2015)149
10.1103/PhysRevLett.115.171602
10.1088/1361-6382/ab377f
10.1007/JHEP01(2021)193
10.1007/JHEP05(2019)075
10.1103/PhysRevD.98.106004
10.1007/JHEP03(2020)149
10.1142/S0218271810018529
10.1038/s41567-018-0075-2
10.1007/JHEP11(2019)069
10.1088/1751-8121/aa7902
10.1088/1126-6708/2006/08/045
10.1140/epjc/s10052-018-6140-2
10.1093/ptep/ptv089
10.1007/JHEP03(2014)051
10.1103/PhysRevLett.122.141601
10.1137/S0895480195287723
10.1007/JHEP01(2018)098
10.1063/1.1498001
10.1088/1126-6708/2007/07/062
10.1007/JHEP12(2020)083
10.1063/1.59653
10.1007/JHEP08(2019)140
10.1007/JHEP05(2020)013
10.1007/JHEP08(2017)057
10.1007/JHEP08(2019)101
10.1007/s00220-016-2796-3
10.4310/ATMP.1998.v2.n2.a2
10.1007/JHEP09(2020)002
10.1088/1361-6382/aab83c
10.1007/JHEP05(2020)018
10.1007/s00220-019-03510-8
10.1103/PhysRevD.86.065007
10.1103/PhysRevD.99.106014
10.1088/1751-8121/ab2dae
10.1007/JHEP01(2019)220
10.1016/S0370-2693(98)00377-3
10.21468/SciPostPhys.8.4.063
10.1103/PhysRevLett.123.131603
10.1007/JHEP04(2021)301
10.1007/JHEP04(2014)195
10.1103/PhysRevD.103.126002
10.1007/JHEP12(2018)068
10.1007/JHEP11(2016)009
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References PeningtonGEntanglement Wedge Reconstruction and the Information ParadoxJHEP2020090022020JHEP...09..002P42032571454.81039[arXiv:1905.08255] [INSPIRE]
A. Rolph, Quantum bit threads, arXiv:2105.08072 [INSPIRE].
RyuSTakayanagiTAspects of Holographic Entanglement EntropyJHEP2006080452006JHEP...08..045R22499251228.83110[hep-th/0605073] [INSPIRE]
Y. Chen and G. Vidal, Entanglement contour, J. Stat. Mech.1410 (2014) P10011 [arXiv:1406.1471].
M. Headrick, J. Held and J. Herman, Crossing versus locking: Bit threads and continuum multiflows, arXiv:2008.03197 [INSPIRE].
BaoNCaoCFischettiSKeelerCTowards Bulk Metric Reconstruction from Extremal Area VariationsClass. Quant. Grav.2019361850022019CQGra..36r5002B399788307416115[arXiv:1904.04834] [INSPIRE]
LinY-YSunJ-RSunYSurface growth scheme for bulk reconstruction and tensor networkJHEP2020120832020JHEP...12..083L42394561457.83059[arXiv:2010.03167] [INSPIRE]
M. Van Raamsdonk, Building up spacetime with quantum entanglement, Int. J. Mod. Phys. D19 (2010) 2429 [Gen. Rel. Grav.42 (2010) 2323] [arXiv:1005.3035] [INSPIRE].
AlmheiriAMahajanRMaldacenaJMZhaoYThe Page curve of Hawking radiation from semiclassical geometryJHEP2020031492020JHEP...03..149A40899731435.83110[arXiv:1908.10996] [INSPIRE]
Di GiulioGAriasRTonniEEntanglement Hamiltonians in 1D free lattice models after a global quantum quenchJ. Stat. Mech.2019191212310340635821459.81012[arXiv:1905.01144] [INSPIRE]
CoserADe NobiliCTonniEA contour for the entanglement entropies in harmonic latticesJ. Phys. A20175031400136734731372.81135[arXiv:1701.08427] [INSPIRE]
M. Miyaji and T. Takayanagi, Surface/State Correspondence as a Generalized Holography, Prog. Theor. Exp. Phys.2015 (2015) 073B03 [arXiv:1503.03542] [INSPIRE].
I. MacCormack, M.T. Tan, J. Kudler-Flam and S. Ryu, Operator and entanglement growth in non-thermalizing systems: many-body localization and the random singlet phase, arXiv:2001.08222 [INSPIRE].
LashkariNMcDermottMBVan RaamsdonkMGravitational dynamics from entanglement ‘thermodynamics’JHEP2014041952014JHEP...04..195L[arXiv:1308.3716] [INSPIRE]
HeadrickMHubenyVERiemannian and Lorentzian flow-cut theoremsClass. Quant. Grav.2018351037967891391.83016[arXiv:1710.09516] [INSPIRE]
HubenyVEBulk locality and cooperative flowsJHEP2018120682018JHEP...12..068H39006641405.81133[arXiv:1808.05313] [INSPIRE]
BaoNPeningtonGSorceJWallACBeyond Toy Models: Distilling Tensor Networks in Full AdS/CFTJHEP2019110692019JHEP...11..069B40694941429.81063[arXiv:1812.01171] [INSPIRE]
KusukiYKudler-FlamJRyuSDerivation of Holographic Negativity in AdS3/CFT2Phys. Rev. Lett.20191231316032019PhRvL.123m1603K4016265[arXiv:1907.07824] [INSPIRE]
DuD-HChenC-BShuF-WBit threads and holographic entanglement of purificationJHEP2019081402019JHEP...08..140D40134121421.83099[arXiv:1904.06871] [INSPIRE]
WenQBalanced Partial Entanglement and the Entanglement Wedge Cross SectionJHEP2021043012021JHEP...04..301W4276149[arXiv:2103.00415] [INSPIRE]
EspíndolaRGuijosaAPedrazaJFEntanglement Wedge Reconstruction and Entanglement of PurificationEur. Phys. J. C2018786462018EPJC...78..646E[arXiv:1804.05855] [INSPIRE]
X.-L. Qi, Exact holographic mapping and emergent space-time geometry, arXiv:1309.6282 [INSPIRE].
B. Swingle, Entanglement Renormalization and Holography, Phys. Rev. D86 (2012) 065007 [arXiv:0905.1317] [INSPIRE].
C.A. Agón and J.F. Pedraza, Quantum bit threads and holographic entanglement, arXiv:2105.08063 [INSPIRE].
WenQTowards the generalized gravitational entropy for spacetimes with non-Lorentz invariant dualsJHEP2019012202019JHEP...01..220W3919275[arXiv:1810.11756] [INSPIRE]
FreedmanMHeadrickMBit threads and holographic entanglementCommun. Math. Phys.20173524072017CMaPh.352..407F36232631425.81014[arXiv:1604.00354] [INSPIRE]
GubserSSKlebanovIRPolyakovAMGauge theory correlators from noncritical string theoryPhys. Lett. B19984281051998PhLB..428..105G16307661355.81126[hep-th/9802109] [INSPIRE]
BakhmatovIDegerNSGutowskiJColgáinEÓYavartanooHCalibrated Entanglement EntropyJHEP2017071172017JHEP...07..117B36866811380.81287[arXiv:1705.08319] [INSPIRE]
FrankAKarzanovASeboAOn integer multiflow maximizationSIAM J. Discrete Math.19971015814305530869.05038
FaulknerTGuicaMHartmanTMyersRCVan RaamsdonkMGravitation from Entanglement in Holographic CFTsJHEP2014030512014JHEP...03..051F31917421333.83141[arXiv:1312.7856] [INSPIRE]
TakayanagiTUmemotoKEntanglement of purification through holographic dualityNature Phys.2018145732018NatPh..14..573U[arXiv:1708.09393] [INSPIRE]
FaulknerTHaehlFMHijanoEParrikarORabideauCVan RaamsdonkMNonlinear Gravity from Entanglement in Conformal Field TheoriesJHEP2017080572017JHEP...08..057F36974251381.83099[arXiv:1705.03026] [INSPIRE]
HarperJHeadrickMBit threads and holographic entanglement of purificationJHEP2019081012019JHEP...08..101H40133731421.83101[arXiv:1906.05970] [INSPIRE]
AgónCACáceresEPedrazaJFBit threads, Einstein’s equations and bulk localityJHEP2021011932021JHEP...01..193A42576481459.83003[arXiv:2007.07907] [INSPIRE]
A. Milsted and G. Vidal, Geometric interpretation of the multi-scale entanglement renormalization ansatz, arXiv:1812.00529 [INSPIRE].
AlmheiriAHartmanTMaldacenaJMShaghoulianETajdiniAReplica Wormholes and the Entropy of Hawking RadiationJHEP2020050132020JHEP...05..013A41124581437.83084[arXiv:1911.12333] [INSPIRE]
BaoNChatwin-DaviesAPollackJRemmenGNTowards a Bit Threads Derivation of Holographic Entanglement of PurificationJHEP2019071522019JHEP...07..152B39905501418.83022[arXiv:1905.04317] [INSPIRE]
RyuSTakayanagiTHolographic derivation of entanglement entropy from AdS/CFTPhys. Rev. Lett.2006961816022006PhRvL..96r1602R22210501228.83110[hep-th/0603001] [INSPIRE]
M. Han and Q. Wen, Entanglement entropies from entanglement contour: annuli and spherical shells, arXiv:1905.05522 [INSPIRE].
AlmheiriAEngelhardtNMarolfDMaxfieldHThe entropy of bulk quantum fields and the entanglement wedge of an evaporating black holeJHEP2019120632019JHEP...12..063A40757121431.83123[arXiv:1905.08762] [INSPIRE]
MiyajiMNumasawaTShibaNTakayanagiTWatanabeKContinuous Multiscale Entanglement Renormalization Ansatz as Holographic Surface-State CorrespondencePhys. Rev. Lett.20151151716022015PhRvL.115q1602M[arXiv:1506.01353] [INSPIRE]
Y.Y. Lin, J.R. Sun and Y. Sun, Surface growth approach for bulk reconstruction, arXiv:2010.03167.
B. Swingle, Constructing holographic spacetimes using entanglement renormalization, arXiv:1209.3304 [INSPIRE].
PastawskiFYoshidaBHarlowDPreskillJHolographic quantum error-correcting codes: Toy models for the bulk/boundary correspondenceJHEP2015061492015JHEP...06..149P33701861388.81094[arXiv:1503.06237] [INSPIRE]
AgónCADe BoerJPedrazaJFGeometric Aspects of Holographic Bit ThreadsJHEP2019050752019JHEP...05..075A39768121416.83094[arXiv:1811.08879] [INSPIRE]
NguyenPDevakulTHalbaschMGZaletelMPSwingleBEntanglement of purification: from spin chains to holographyJHEP2018010982018JHEP...01..098N37625481384.81117[arXiv:1709.07424] [INSPIRE]
Q. Wen, Formulas for Partial Entanglement Entropy, Phys. Rev. Res.2 (2020) 023170 [arXiv:1910.10978] [INSPIRE].
A. Karzanov and M. Lomonosov, Flow systems in undirected networks (in Russian), in Mathematical Programming, O.I. Larichev ed., Institute for System Studies, Moscow Russia (1978), pp. 59–66.
Kudler-FlamJRyuSEntanglement negativity and minimal entanglement wedge cross sections in holographic theoriesPhys. Rev. D2019991060142019PhRvD..99j6014K4010024[arXiv:1808.00446] [INSPIRE]
WittenEAnti-de Sitter space and holographyAdv. Theor. Math. Phys.199822531998AdTMP...2..253W16330120914.53048[hep-th/9802150] [INSPIRE]
Kudler-FlamJMacCormackIRyuSHolographic entanglement contour, bit threads, and the entanglement tsunamiJ. Phys. A2019523254014002469[arXiv:1902.04654] [INSPIRE]
HaydenPNezamiSQiX-LThomasNWalterMYangZHolographic duality from random tensor networksJHEP2016110092016JHEP...11..009H35844421390.83344[arXiv:1601.01694] [INSPIRE]
HubenyVERangamaniMTakayanagiTA Covariant holographic entanglement entropy proposalJHEP2007070622007JHEP...07..062H2326725[arXiv:0705.0016] [INSPIRE]
J.M. Maldacena, The Large N limit of superconformal field theories and supergravity, Int. J. Theor. Phys.38 (1999) 1113 [Adv. Theor. Math. Phys.2 (1998) 231] [hep-th/9711200] [INSPIRE].
DuttaSFaulknerTA canonical purification for the entanglement wedge cross-sectionJHEP2021031782021JHEP...03..178D42626371461.81104[arXiv:1905.00577] [INSPIRE]
J.-R. Sun and Y. Sun, On the emergence of gravitational dynamics from tensor networks, arXiv:1912.02070 [INSPIRE].
Kudler-FlamJShapourianHRyuSThe negativity contour: a quasi-local measure of entanglement for mixed statesSciPost Phys.202080632020ScPP....8...63K4180616[arXiv:1908.07540] [INSPIRE]
CuiSXHaydenPHeTHeadrickMStoicaBWalterMBit Threads and Holographic MonogamyCommun. Math. Phys.20193766092019CMaPh.376..609C409385607202528[arXiv:1808.05234] [INSPIRE]
WenQFine structure in holographic entanglement and entanglement contourPhys. Rev. D2018981060042018PhRvD..98j6009W3954742[arXiv:1803.05552] [INSPIRE]
WenQEntanglement contour and modular flow from subset entanglement entropiesJHEP2020050182020JHEP...05..018W41124531437.81014[arXiv:1902.06905] [INSPIRE]
E. Tonni, J. Rodríguez-Laguna and G. Sierra, Entanglement Hamiltonian and entanglement contour in inhomogeneous 1D critical systems, J. Stat. Mech.1804 (2018) 043105 [arXiv:1712.03557] [INSPIRE].
B.M. Terhal, M. Horodecki, D.W. Leung and D.P. DiVincenzo, The entanglement of purification, J. Math. Phys.43 (2002) 4286 [quant-ph/0202044].
LinY-YSunJ-RSunYBit thread, entanglement distillation, and entanglement of purificationPhys. Rev. D20211031260022021PhRvD.103l6002L4290062[arXiv:2012.05737] [INSPIRE]
TamaokaKEntanglement Wedge Cross Section from the Dual Density MatrixPhys. Rev. Lett.20191221416012019PhRvL.122n1601T[arXiv:1809.09109] [INSPIRE]
A Coser (16958_CR32) 2017; 50
SS Gubser (16958_CR2) 1998; 428
T Faulkner (16958_CR10) 2017; 08
N Bao (16958_CR11) 2019; 36
16958_CR19
16958_CR18
16958_CR13
N Bao (16958_CR50) 2019; 07
16958_CR59
16958_CR14
Y Kusuki (16958_CR56) 2019; 123
E Witten (16958_CR3) 1998; 2
M Freedman (16958_CR39) 2017; 352
16958_CR42
I Bakhmatov (16958_CR43) 2017; 07
16958_CR44
CA Agón (16958_CR16) 2021; 01
F Pastawski (16958_CR21) 2015; 06
G Di Giulio (16958_CR30) 2019; 1912
A Frank (16958_CR60) 1997; 10
VE Hubeny (16958_CR6) 2007; 07
T Faulkner (16958_CR9) 2014; 03
16958_CR46
16958_CR45
J Kudler-Flam (16958_CR33) 2020; 8
16958_CR1
S Ryu (16958_CR4) 2006; 96
S Ryu (16958_CR5) 2006; 08
Q Wen (16958_CR36) 2021; 04
Q Wen (16958_CR29) 2019; 01
VE Hubeny (16958_CR53) 2018; 12
S Dutta (16958_CR54) 2021; 03
Q Wen (16958_CR27) 2020; 05
16958_CR31
Y-Y Lin (16958_CR12) 2020; 12
16958_CR35
G Penington (16958_CR61) 2020; 09
16958_CR34
16958_CR7
16958_CR37
A Almheiri (16958_CR64) 2020; 05
J Kudler-Flam (16958_CR55) 2019; 99
A Almheiri (16958_CR62) 2019; 12
Q Wen (16958_CR28) 2018; 98
N Bao (16958_CR15) 2019; 11
P Hayden (16958_CR22) 2016; 11
T Takayanagi (16958_CR47) 2018; 14
16958_CR20
M Miyaji (16958_CR38) 2015; 115
J Kudler-Flam (16958_CR25) 2019; 52
SX Cui (16958_CR40) 2019; 376
K Tamaoka (16958_CR57) 2019; 122
P Nguyen (16958_CR48) 2018; 01
N Lashkari (16958_CR8) 2014; 04
16958_CR24
16958_CR23
Y-Y Lin (16958_CR17) 2021; 103
16958_CR26
M Headrick (16958_CR41) 2018; 35
J Harper (16958_CR51) 2019; 08
A Almheiri (16958_CR63) 2020; 03
CA Agón (16958_CR52) 2019; 05
R Espíndola (16958_CR58) 2018; 78
D-H Du (16958_CR49) 2019; 08
References_xml – reference: B. Swingle, Entanglement Renormalization and Holography, Phys. Rev. D86 (2012) 065007 [arXiv:0905.1317] [INSPIRE].
– reference: AlmheiriAHartmanTMaldacenaJMShaghoulianETajdiniAReplica Wormholes and the Entropy of Hawking RadiationJHEP2020050132020JHEP...05..013A41124581437.83084[arXiv:1911.12333] [INSPIRE]
– reference: PeningtonGEntanglement Wedge Reconstruction and the Information ParadoxJHEP2020090022020JHEP...09..002P42032571454.81039[arXiv:1905.08255] [INSPIRE]
– reference: WenQFine structure in holographic entanglement and entanglement contourPhys. Rev. D2018981060042018PhRvD..98j6009W3954742[arXiv:1803.05552] [INSPIRE]
– reference: Kudler-FlamJShapourianHRyuSThe negativity contour: a quasi-local measure of entanglement for mixed statesSciPost Phys.202080632020ScPP....8...63K4180616[arXiv:1908.07540] [INSPIRE]
– reference: A. Milsted and G. Vidal, Geometric interpretation of the multi-scale entanglement renormalization ansatz, arXiv:1812.00529 [INSPIRE].
– reference: Y. Chen and G. Vidal, Entanglement contour, J. Stat. Mech.1410 (2014) P10011 [arXiv:1406.1471].
– reference: M. Van Raamsdonk, Building up spacetime with quantum entanglement, Int. J. Mod. Phys. D19 (2010) 2429 [Gen. Rel. Grav.42 (2010) 2323] [arXiv:1005.3035] [INSPIRE].
– reference: GubserSSKlebanovIRPolyakovAMGauge theory correlators from noncritical string theoryPhys. Lett. B19984281051998PhLB..428..105G16307661355.81126[hep-th/9802109] [INSPIRE]
– reference: LinY-YSunJ-RSunYSurface growth scheme for bulk reconstruction and tensor networkJHEP2020120832020JHEP...12..083L42394561457.83059[arXiv:2010.03167] [INSPIRE]
– reference: Y.Y. Lin, J.R. Sun and Y. Sun, Surface growth approach for bulk reconstruction, arXiv:2010.03167.
– reference: KusukiYKudler-FlamJRyuSDerivation of Holographic Negativity in AdS3/CFT2Phys. Rev. Lett.20191231316032019PhRvL.123m1603K4016265[arXiv:1907.07824] [INSPIRE]
– reference: AlmheiriAMahajanRMaldacenaJMZhaoYThe Page curve of Hawking radiation from semiclassical geometryJHEP2020031492020JHEP...03..149A40899731435.83110[arXiv:1908.10996] [INSPIRE]
– reference: FrankAKarzanovASeboAOn integer multiflow maximizationSIAM J. Discrete Math.19971015814305530869.05038
– reference: FreedmanMHeadrickMBit threads and holographic entanglementCommun. Math. Phys.20173524072017CMaPh.352..407F36232631425.81014[arXiv:1604.00354] [INSPIRE]
– reference: B. Swingle, Constructing holographic spacetimes using entanglement renormalization, arXiv:1209.3304 [INSPIRE].
– reference: Kudler-FlamJMacCormackIRyuSHolographic entanglement contour, bit threads, and the entanglement tsunamiJ. Phys. A2019523254014002469[arXiv:1902.04654] [INSPIRE]
– reference: MiyajiMNumasawaTShibaNTakayanagiTWatanabeKContinuous Multiscale Entanglement Renormalization Ansatz as Holographic Surface-State CorrespondencePhys. Rev. Lett.20151151716022015PhRvL.115q1602M[arXiv:1506.01353] [INSPIRE]
– reference: BaoNChatwin-DaviesAPollackJRemmenGNTowards a Bit Threads Derivation of Holographic Entanglement of PurificationJHEP2019071522019JHEP...07..152B39905501418.83022[arXiv:1905.04317] [INSPIRE]
– reference: HubenyVERangamaniMTakayanagiTA Covariant holographic entanglement entropy proposalJHEP2007070622007JHEP...07..062H2326725[arXiv:0705.0016] [INSPIRE]
– reference: BakhmatovIDegerNSGutowskiJColgáinEÓYavartanooHCalibrated Entanglement EntropyJHEP2017071172017JHEP...07..117B36866811380.81287[arXiv:1705.08319] [INSPIRE]
– reference: CoserADe NobiliCTonniEA contour for the entanglement entropies in harmonic latticesJ. Phys. A20175031400136734731372.81135[arXiv:1701.08427] [INSPIRE]
– reference: DuttaSFaulknerTA canonical purification for the entanglement wedge cross-sectionJHEP2021031782021JHEP...03..178D42626371461.81104[arXiv:1905.00577] [INSPIRE]
– reference: Di GiulioGAriasRTonniEEntanglement Hamiltonians in 1D free lattice models after a global quantum quenchJ. Stat. Mech.2019191212310340635821459.81012[arXiv:1905.01144] [INSPIRE]
– reference: M. Headrick, J. Held and J. Herman, Crossing versus locking: Bit threads and continuum multiflows, arXiv:2008.03197 [INSPIRE].
– reference: M. Miyaji and T. Takayanagi, Surface/State Correspondence as a Generalized Holography, Prog. Theor. Exp. Phys.2015 (2015) 073B03 [arXiv:1503.03542] [INSPIRE].
– reference: A. Karzanov and M. Lomonosov, Flow systems in undirected networks (in Russian), in Mathematical Programming, O.I. Larichev ed., Institute for System Studies, Moscow Russia (1978), pp. 59–66.
– reference: WenQBalanced Partial Entanglement and the Entanglement Wedge Cross SectionJHEP2021043012021JHEP...04..301W4276149[arXiv:2103.00415] [INSPIRE]
– reference: HeadrickMHubenyVERiemannian and Lorentzian flow-cut theoremsClass. Quant. Grav.2018351037967891391.83016[arXiv:1710.09516] [INSPIRE]
– reference: HubenyVEBulk locality and cooperative flowsJHEP2018120682018JHEP...12..068H39006641405.81133[arXiv:1808.05313] [INSPIRE]
– reference: AgónCACáceresEPedrazaJFBit threads, Einstein’s equations and bulk localityJHEP2021011932021JHEP...01..193A42576481459.83003[arXiv:2007.07907] [INSPIRE]
– reference: FaulknerTGuicaMHartmanTMyersRCVan RaamsdonkMGravitation from Entanglement in Holographic CFTsJHEP2014030512014JHEP...03..051F31917421333.83141[arXiv:1312.7856] [INSPIRE]
– reference: HarperJHeadrickMBit threads and holographic entanglement of purificationJHEP2019081012019JHEP...08..101H40133731421.83101[arXiv:1906.05970] [INSPIRE]
– reference: E. Tonni, J. Rodríguez-Laguna and G. Sierra, Entanglement Hamiltonian and entanglement contour in inhomogeneous 1D critical systems, J. Stat. Mech.1804 (2018) 043105 [arXiv:1712.03557] [INSPIRE].
– reference: PastawskiFYoshidaBHarlowDPreskillJHolographic quantum error-correcting codes: Toy models for the bulk/boundary correspondenceJHEP2015061492015JHEP...06..149P33701861388.81094[arXiv:1503.06237] [INSPIRE]
– reference: J.-R. Sun and Y. Sun, On the emergence of gravitational dynamics from tensor networks, arXiv:1912.02070 [INSPIRE].
– reference: TamaokaKEntanglement Wedge Cross Section from the Dual Density MatrixPhys. Rev. Lett.20191221416012019PhRvL.122n1601T[arXiv:1809.09109] [INSPIRE]
– reference: J.M. Maldacena, The Large N limit of superconformal field theories and supergravity, Int. J. Theor. Phys.38 (1999) 1113 [Adv. Theor. Math. Phys.2 (1998) 231] [hep-th/9711200] [INSPIRE].
– reference: I. MacCormack, M.T. Tan, J. Kudler-Flam and S. Ryu, Operator and entanglement growth in non-thermalizing systems: many-body localization and the random singlet phase, arXiv:2001.08222 [INSPIRE].
– reference: Kudler-FlamJRyuSEntanglement negativity and minimal entanglement wedge cross sections in holographic theoriesPhys. Rev. D2019991060142019PhRvD..99j6014K4010024[arXiv:1808.00446] [INSPIRE]
– reference: WittenEAnti-de Sitter space and holographyAdv. Theor. Math. Phys.199822531998AdTMP...2..253W16330120914.53048[hep-th/9802150] [INSPIRE]
– reference: Q. Wen, Formulas for Partial Entanglement Entropy, Phys. Rev. Res.2 (2020) 023170 [arXiv:1910.10978] [INSPIRE].
– reference: A. Rolph, Quantum bit threads, arXiv:2105.08072 [INSPIRE].
– reference: RyuSTakayanagiTAspects of Holographic Entanglement EntropyJHEP2006080452006JHEP...08..045R22499251228.83110[hep-th/0605073] [INSPIRE]
– reference: C.A. Agón and J.F. Pedraza, Quantum bit threads and holographic entanglement, arXiv:2105.08063 [INSPIRE].
– reference: TakayanagiTUmemotoKEntanglement of purification through holographic dualityNature Phys.2018145732018NatPh..14..573U[arXiv:1708.09393] [INSPIRE]
– reference: DuD-HChenC-BShuF-WBit threads and holographic entanglement of purificationJHEP2019081402019JHEP...08..140D40134121421.83099[arXiv:1904.06871] [INSPIRE]
– reference: M. Han and Q. Wen, Entanglement entropies from entanglement contour: annuli and spherical shells, arXiv:1905.05522 [INSPIRE].
– reference: WenQEntanglement contour and modular flow from subset entanglement entropiesJHEP2020050182020JHEP...05..018W41124531437.81014[arXiv:1902.06905] [INSPIRE]
– reference: NguyenPDevakulTHalbaschMGZaletelMPSwingleBEntanglement of purification: from spin chains to holographyJHEP2018010982018JHEP...01..098N37625481384.81117[arXiv:1709.07424] [INSPIRE]
– reference: B.M. Terhal, M. Horodecki, D.W. Leung and D.P. DiVincenzo, The entanglement of purification, J. Math. Phys.43 (2002) 4286 [quant-ph/0202044].
– reference: BaoNPeningtonGSorceJWallACBeyond Toy Models: Distilling Tensor Networks in Full AdS/CFTJHEP2019110692019JHEP...11..069B40694941429.81063[arXiv:1812.01171] [INSPIRE]
– reference: LinY-YSunJ-RSunYBit thread, entanglement distillation, and entanglement of purificationPhys. Rev. D20211031260022021PhRvD.103l6002L4290062[arXiv:2012.05737] [INSPIRE]
– reference: LashkariNMcDermottMBVan RaamsdonkMGravitational dynamics from entanglement ‘thermodynamics’JHEP2014041952014JHEP...04..195L[arXiv:1308.3716] [INSPIRE]
– reference: RyuSTakayanagiTHolographic derivation of entanglement entropy from AdS/CFTPhys. Rev. Lett.2006961816022006PhRvL..96r1602R22210501228.83110[hep-th/0603001] [INSPIRE]
– reference: AlmheiriAEngelhardtNMarolfDMaxfieldHThe entropy of bulk quantum fields and the entanglement wedge of an evaporating black holeJHEP2019120632019JHEP...12..063A40757121431.83123[arXiv:1905.08762] [INSPIRE]
– reference: CuiSXHaydenPHeTHeadrickMStoicaBWalterMBit Threads and Holographic MonogamyCommun. Math. Phys.20193766092019CMaPh.376..609C409385607202528[arXiv:1808.05234] [INSPIRE]
– reference: WenQTowards the generalized gravitational entropy for spacetimes with non-Lorentz invariant dualsJHEP2019012202019JHEP...01..220W3919275[arXiv:1810.11756] [INSPIRE]
– reference: BaoNCaoCFischettiSKeelerCTowards Bulk Metric Reconstruction from Extremal Area VariationsClass. Quant. Grav.2019361850022019CQGra..36r5002B399788307416115[arXiv:1904.04834] [INSPIRE]
– reference: FaulknerTHaehlFMHijanoEParrikarORabideauCVan RaamsdonkMNonlinear Gravity from Entanglement in Conformal Field TheoriesJHEP2017080572017JHEP...08..057F36974251381.83099[arXiv:1705.03026] [INSPIRE]
– reference: AgónCADe BoerJPedrazaJFGeometric Aspects of Holographic Bit ThreadsJHEP2019050752019JHEP...05..075A39768121416.83094[arXiv:1811.08879] [INSPIRE]
– reference: HaydenPNezamiSQiX-LThomasNWalterMYangZHolographic duality from random tensor networksJHEP2016110092016JHEP...11..009H35844421390.83344[arXiv:1601.01694] [INSPIRE]
– reference: X.-L. Qi, Exact holographic mapping and emergent space-time geometry, arXiv:1309.6282 [INSPIRE].
– reference: EspíndolaRGuijosaAPedrazaJFEntanglement Wedge Reconstruction and Entanglement of PurificationEur. Phys. J. C2018786462018EPJC...78..646E[arXiv:1804.05855] [INSPIRE]
– volume: 07
  start-page: 117
  year: 2017
  ident: 16958_CR43
  publication-title: JHEP
  doi: 10.1007/JHEP07(2017)117
– volume: 12
  start-page: 063
  year: 2019
  ident: 16958_CR62
  publication-title: JHEP
  doi: 10.1007/JHEP12(2019)063
– ident: 16958_CR26
  doi: 10.1103/PhysRevResearch.2.023170
– volume: 1912
  start-page: 123103
  year: 2019
  ident: 16958_CR30
  publication-title: J. Stat. Mech.
  doi: 10.1088/1742-5468/ab4e8f
– ident: 16958_CR34
  doi: 10.1088/1742-5468/aab67d
– ident: 16958_CR42
– ident: 16958_CR23
– volume: 03
  start-page: 178
  year: 2021
  ident: 16958_CR54
  publication-title: JHEP
  doi: 10.1007/JHEP03(2021)178
– volume: 96
  start-page: 181602
  year: 2006
  ident: 16958_CR4
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.96.181602
– ident: 16958_CR59
– ident: 16958_CR13
– ident: 16958_CR24
  doi: 10.1088/1742-5468/2014/10/P10011
– volume: 06
  start-page: 149
  year: 2015
  ident: 16958_CR21
  publication-title: JHEP
  doi: 10.1007/JHEP06(2015)149
– volume: 115
  start-page: 171602
  year: 2015
  ident: 16958_CR38
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.115.171602
– volume: 36
  start-page: 185002
  year: 2019
  ident: 16958_CR11
  publication-title: Class. Quant. Grav.
  doi: 10.1088/1361-6382/ab377f
– volume: 01
  start-page: 193
  year: 2021
  ident: 16958_CR16
  publication-title: JHEP
  doi: 10.1007/JHEP01(2021)193
– volume: 05
  start-page: 075
  year: 2019
  ident: 16958_CR52
  publication-title: JHEP
  doi: 10.1007/JHEP05(2019)075
– volume: 98
  start-page: 106004
  year: 2018
  ident: 16958_CR28
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.98.106004
– volume: 03
  start-page: 149
  year: 2020
  ident: 16958_CR63
  publication-title: JHEP
  doi: 10.1007/JHEP03(2020)149
– ident: 16958_CR7
  doi: 10.1142/S0218271810018529
– volume: 14
  start-page: 573
  year: 2018
  ident: 16958_CR47
  publication-title: Nature Phys.
  doi: 10.1038/s41567-018-0075-2
– volume: 11
  start-page: 069
  year: 2019
  ident: 16958_CR15
  publication-title: JHEP
  doi: 10.1007/JHEP11(2019)069
– volume: 50
  start-page: 314001
  year: 2017
  ident: 16958_CR32
  publication-title: J. Phys. A
  doi: 10.1088/1751-8121/aa7902
– volume: 08
  start-page: 045
  year: 2006
  ident: 16958_CR5
  publication-title: JHEP
  doi: 10.1088/1126-6708/2006/08/045
– volume: 78
  start-page: 646
  year: 2018
  ident: 16958_CR58
  publication-title: Eur. Phys. J. C
  doi: 10.1140/epjc/s10052-018-6140-2
– ident: 16958_CR37
  doi: 10.1093/ptep/ptv089
– volume: 03
  start-page: 051
  year: 2014
  ident: 16958_CR9
  publication-title: JHEP
  doi: 10.1007/JHEP03(2014)051
– volume: 122
  start-page: 141601
  year: 2019
  ident: 16958_CR57
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.122.141601
– volume: 10
  start-page: 158
  year: 1997
  ident: 16958_CR60
  publication-title: SIAM J. Discrete Math.
  doi: 10.1137/S0895480195287723
– volume: 07
  start-page: 152
  year: 2019
  ident: 16958_CR50
  publication-title: JHEP
– volume: 01
  start-page: 098
  year: 2018
  ident: 16958_CR48
  publication-title: JHEP
  doi: 10.1007/JHEP01(2018)098
– ident: 16958_CR46
  doi: 10.1063/1.1498001
– volume: 07
  start-page: 062
  year: 2007
  ident: 16958_CR6
  publication-title: JHEP
  doi: 10.1088/1126-6708/2007/07/062
– volume: 12
  start-page: 083
  year: 2020
  ident: 16958_CR12
  publication-title: JHEP
  doi: 10.1007/JHEP12(2020)083
– ident: 16958_CR19
– ident: 16958_CR44
– ident: 16958_CR1
  doi: 10.1063/1.59653
– volume: 08
  start-page: 140
  year: 2019
  ident: 16958_CR49
  publication-title: JHEP
  doi: 10.1007/JHEP08(2019)140
– volume: 05
  start-page: 013
  year: 2020
  ident: 16958_CR64
  publication-title: JHEP
  doi: 10.1007/JHEP05(2020)013
– volume: 08
  start-page: 057
  year: 2017
  ident: 16958_CR10
  publication-title: JHEP
  doi: 10.1007/JHEP08(2017)057
– volume: 08
  start-page: 101
  year: 2019
  ident: 16958_CR51
  publication-title: JHEP
  doi: 10.1007/JHEP08(2019)101
– volume: 352
  start-page: 407
  year: 2017
  ident: 16958_CR39
  publication-title: Commun. Math. Phys.
  doi: 10.1007/s00220-016-2796-3
– volume: 2
  start-page: 253
  year: 1998
  ident: 16958_CR3
  publication-title: Adv. Theor. Math. Phys.
  doi: 10.4310/ATMP.1998.v2.n2.a2
– volume: 09
  start-page: 002
  year: 2020
  ident: 16958_CR61
  publication-title: JHEP
  doi: 10.1007/JHEP09(2020)002
– volume: 35
  start-page: 10
  year: 2018
  ident: 16958_CR41
  publication-title: Class. Quant. Grav.
  doi: 10.1088/1361-6382/aab83c
– ident: 16958_CR20
– volume: 05
  start-page: 018
  year: 2020
  ident: 16958_CR27
  publication-title: JHEP
  doi: 10.1007/JHEP05(2020)018
– ident: 16958_CR45
– volume: 376
  start-page: 609
  year: 2019
  ident: 16958_CR40
  publication-title: Commun. Math. Phys.
  doi: 10.1007/s00220-019-03510-8
– ident: 16958_CR18
  doi: 10.1103/PhysRevD.86.065007
– volume: 99
  start-page: 106014
  year: 2019
  ident: 16958_CR55
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.99.106014
– volume: 52
  start-page: 325401
  year: 2019
  ident: 16958_CR25
  publication-title: J. Phys. A
  doi: 10.1088/1751-8121/ab2dae
– volume: 01
  start-page: 220
  year: 2019
  ident: 16958_CR29
  publication-title: JHEP
  doi: 10.1007/JHEP01(2019)220
– volume: 428
  start-page: 105
  year: 1998
  ident: 16958_CR2
  publication-title: Phys. Lett. B
  doi: 10.1016/S0370-2693(98)00377-3
– volume: 8
  start-page: 063
  year: 2020
  ident: 16958_CR33
  publication-title: SciPost Phys.
  doi: 10.21468/SciPostPhys.8.4.063
– volume: 123
  start-page: 131603
  year: 2019
  ident: 16958_CR56
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.123.131603
– volume: 04
  start-page: 301
  year: 2021
  ident: 16958_CR36
  publication-title: JHEP
  doi: 10.1007/JHEP04(2021)301
– volume: 04
  start-page: 195
  year: 2014
  ident: 16958_CR8
  publication-title: JHEP
  doi: 10.1007/JHEP04(2014)195
– volume: 103
  start-page: 126002
  year: 2021
  ident: 16958_CR17
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.103.126002
– ident: 16958_CR35
– volume: 12
  start-page: 068
  year: 2018
  ident: 16958_CR53
  publication-title: JHEP
  doi: 10.1007/JHEP12(2018)068
– ident: 16958_CR14
– volume: 11
  start-page: 009
  year: 2016
  ident: 16958_CR22
  publication-title: JHEP
  doi: 10.1007/JHEP11(2016)009
– ident: 16958_CR31
SSID ssj0015190
Score 2.4711814
Snippet A bstract In the holographic framework, we argue that the partial entanglement entropy (PEE) can be explicitly interpreted as the component flow flux in a...
In the holographic framework, we argue that the partial entanglement entropy (PEE) can be explicitly interpreted as the component flow flux in a locking bit...
Abstract In the holographic framework, we argue that the partial entanglement entropy (PEE) can be explicitly interpreted as the component flow flux in a...
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SubjectTerms AdS-CFT Correspondence
Classical and Quantum Gravitation
Concrete construction
Configurations
Conformal Field Theory
Elementary Particles
Entanglement
Entropy
Gauge-gravity correspondence
High energy physics
Locking
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Spacetime
String Theory
Symmetry
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Title Deriving the PEE proposal from the locking bit thread configuration
URI https://link.springer.com/article/10.1007/JHEP10(2021)164
https://www.proquest.com/docview/2584135445
https://doaj.org/article/164bcd5aed8c47adb9f52c4f3316c94c
Volume 2021
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