EPR Pairs, Local Projection and Quantum Teleportation in Holography
|
|
- Homer York
- 6 years ago
- Views:
Transcription
1 Strings and Fields 2016, YITP, Kyoto EPR Pairs, Local Projection and Quantum Teleportation in Holography Kento Watanabe (YITP, Kyoto) arxiv: [hep-th] (will appear in JHEP) with Tokiro Numasawa Noburo Shiba Tadashi Takayanagi (YITP -> KITP) (YITP -> Harvard U) (YITP)
2 Entanglement Measures & Related Phenomena motivated by Quantum Information theory EE, MI, Relative Entropy, Negativity, Complexity, Information metric Scrambling, Quantum Error Correction, Distillation Big Workshop!! Big Collaboration!! Hot topics in QFT & its Holographic Dual
3 Entanglement Measures & Related Phenomena motivated by Quantum Information theory EE, MI, Relative Entropy, Negativity, Complexity, Information metric Scrambling, Quantum Error Correction, Distillation Big Workshop!! Big Collaboration!! Hot topics in QFT & its Holographic Dual How about Operational Aspects? Quantum Operations Also important in many quantum process or protocols in QI However, so far, NOT investigated well in QFT & Holography.
4 Example : Quantum Teleportation in QM Task : sends [Bennet et al 93] s qubit to Protocol : Projection measurement on & Classically communication between Appropriate unitary operation to & Finally, can obtain the same qubit as s The protocol consists of LOCCs Local Operations & Classical Communications
5 Let s Try 3 Quantum Operations!!?? Focus on Partial Entangling Entangled Partial Swapping Swapped Partially prepare EPR pairs between two CFTs Vol (operated region) Partially exchange two CFTs (also EPR pairs) (# of EPR pairs crossing the edges) Local (Partial) Projection Projected to products Partially project out a CFT (Can) Reduce EE
6 Let s Try 3 Quantum Operations!!?? Focus on Partial Entangling Entangled Partial Swapping Swapped Partially prepare EPR pairs between two CFTs Vol (operated region) Partially exchange two CFTs (also EPR pairs) (# of EPR pairs crossing the edges) Local (Partial) Projection Partially project out a CFT Projected to products (Can) Reduce EE QFT Analog & Holographic Dual of Quantum Teleportation
7 Entangling & Swapping between two CFTs Path-Integral Pictures EEs after these operations
8 Path-Integral Pictures: Entangling Entangled Path-integral picture for density matrix: ( cf: replica method, TFD state ) Entangling
9 Entanglement Entropy after Entangling Non-contractive for solid torus Conformal Map Torus with period EE between two CFTs Dual BTZ BH Volume of the region we operated
10 Path-Integral Pictures: Swapping Swapped Path-integral picture for density matrix: ( cf: replica method, TFD state ) Swapping
11 Entanglement Entropy after Swapping Contractive for solid torus Conformal Map Torus Different cycle as Entangling EE between two CFTs # of EPR pairs crossing the edges
12 Local Projection Measurement in a CFT Local Projection as Boundary State Path-Integral Pictures EEs after the operation
13 Local Projection described by Boundary States Local (Partial) Projection No real space entanglement at each point in Factrization of n-pt function on Conformal Boundary states close each other No real space entanglement [Miyaji-Ryu-Takayanagi-Wen 14] Local Projection can be described by Boundary States [Rajabpour 15] More generally,
14 Path-Integral Pictures: Local Projection 1 interval jointed with 1-cut [Rajabpour 15] Its Dual Picture UHP with a twist operator Dual Minimal Geodesic : UV cut-off : Boundary entropy (ignore in this talk) AdS/BCFT : [ Takayanagi 11] [ Fujita-Tonii-Takayanagi 11] : Totally Geodesic Surface (ignore the tension in this talk)
15 2-cuts, 1-disjoint interval and Time-evolutions Annulus Half of Torus Dual Half of BTZ BH Identify Identify Cylinder
16 Example: EE in 2D Free Fermion CFT EE reduces by local projection at grows linearly in time (like quantum quench) After saturation, goes to zero (projection effect goes out)
17 Holographic EE after Projection or Entangling Disconnected Geodesics Connected Geodesic (Geodesic Length ) Entangling (Whole Torus) Only Connected Projection (Half of Torus) Connected or Disconnected BH Horizon Generated Reduced Connected Disconnected Disconnected Connected
18 Analogue of Quantum Teleportation in CFT & Holography Quantum Teleportation of Local Operator Partial Entangling + Local Projection + Local Unitary Transformation
19 Path-Integral Pictures: Quantum Teleportation Projection to Lorentzian Lorentzian Euclidean Euclidean Final state in Projection Entangling to Teleported!
20 Holographic Model of Quantum Teleportation Projection Projecting out 2-sided AdS BH Collapse Collapse of the holographic geometry ( The topology can change ) 1-sided AdS BH Effective Temperature reduces by half Teleportation to through the Euclidean BH cf. [Susskind 14, 16] Need more detail understandings. Traversable channel created by Swapping?? Classical Communication part??
21 Summary [hep-th] Partial Entangling Further Directions Higher dim. Generalizations 3 Quantum Operations Partial Swapping Vol( operated region ) (# of EPR pairs crossing the edges ) Torus Dual Time evolution BTZ BH More details on Quantum Teleportation in QFT & Holography Interpretation in Tensor Networks Torus?? Different Cycle as Entangling in CFTs & Holographic Duals Local (Partial) Projection CFT Analogue & Holographic Model of Quantum Teleportation of Local Operators New Entanglement Measures in QFT & Holography for Multi-partite Entanglement for Mixed States (Can) Reduce EE Dual Half of Torus Half of BTZ BH Time evolution But, Generate EE sometime (Growth like Quantum Quench) (Quantum Discord,?) from Local Operations etc (GHZ,?) THANKS!!
22 Appendix
23 Some Details on QFT Analogue of Quantum Teleportation The state after Entangling between and Act on the state with some conditions for the linearity Projecting the state by Projecting the state by Projecting the state by Final state in Teleported!
24 Time Evolution of Holographic EE after Entangling log t growth & decay Similar to locally excited state (local operator quench) in holographic CFTs No quasi-particle picture?? [Caputa-Nozaki-Takayanagi 14] [Asplund-Bernamonti-Galli-Hartman 14] Gravity dual : [Nozaki-Numasawa-Takayanagi 13]
EPR Pairs, Local Projection and Quantum Teleportation in Holography
YITP long term workshop 2016, One Day Conference, 2016/06/08 @ YITP, Kyoto EPR Pairs, Local Projection and Quantum Teleportation in Holography Kento Watanabe (YITP, Kyoto) arxiv: 1604.01772 [hep-th] with
More informationQuantum Operations in CFTs and Holography
Strings2016 @ Beijing, Tsinghua, 2016, ug.1-5 Quantum Operations in CFTs and Holography Tadashi Takayanagi ( 高柳匡 ) Yukawa Institute for Theoretical Physics (YITP), Kyoto University Based on arxiv:1604.01772
More informationInformation Metric and Holography
11 th Vienna Central European Seminar Quantum and Gravity @ Univ. of Vienna, Nov.7-8, 015 Information Metric and Holography Tadashi Takayanagi Yukawa Institute for Theoretical Physics (YITP), Kyoto University
More informationOn a holographic quantum quench with a finite size effect
On a holographic quantum quench with a finite size effect Tomonori Ugajin (U. Tokyo KITP) Based on work in progress with G.Mandal, R.Sinha Holographic Vistas on gravity and strings YITP, 2014 Introduction
More informationFrom Path Integral to Tensor Networks for AdS/CFT
Seminar @ Osaka U 2016/11/15 From Path Integral to Tensor Networks for AdS/CFT Kento Watanabe (Center for Gravitational Physics, YITP, Kyoto U) 1609.04645v2 [hep-th] w/ Tadashi Takayanagi (YITP + Kavli
More informationAdS/CFT Correspondence and Entanglement Entropy
AdS/CFT Correspondence and Entanglement Entropy Tadashi Takayanagi (Kyoto U.) Based on hep-th/0603001 [Phys.Rev.Lett.96(2006)181602] hep-th/0605073 [JHEP 0608(2006)045] with Shinsei Ryu (KITP) hep-th/0608213
More informationQuantum Entanglement of locally perturbed thermal states
Quantum Entanglement of locally perturbed thermal states Joan Simón University of Edinburgh and Maxwell Institute of Mathematical Sciences Holography, strings and higher spins Swansea, March 20, 2015 Based
More informationTime Evolution of Holographic Complexity
Time Evolution of Holographic Complexity Sotaro Sugishita (Osaka Univ.) based on arxiv:1709.10184 [JHEP 1711, 188 (2017)] with Dean Carmi, Shira Chapman, Hugo Marrochio, Robert Myers RIKEN-Osaka-OIST Joint
More informationDisentangling Topological Insulators by Tensor Networks
Disentangling Topological Insulators by Tensor Networks Shinsei Ryu Univ. of Illinois, Urbana-Champaign Collaborators: Ali Mollabashi (IPM Tehran) Masahiro Nozaki (Kyoto) Tadashi Takayanagi (Kyoto) Xueda
More informationEntanglement Entropy for Disjoint Intervals in AdS/CFT
Entanglement Entropy for Disjoint Intervals in AdS/CFT Thomas Faulkner Institute for Advanced Study based on arxiv:1303.7221 (see also T.Hartman arxiv:1303.6955) Entanglement Entropy : Definitions Vacuum
More informationDynamics of Entanglement Entropy From Einstein Equation
YITP Workshop on Quantum Information Physics@YITP Dynamics of Entanglement Entropy From Einstein Equation Tokiro Numasawa Kyoto University, Yukawa Institute for Theoretical Physics based on arxiv:1304.7100
More informationCausal Evolution of Bulk localized Excitations in AdS from CFT
Causal Evolution of Bulk localized Excitations in AdS from CFT Kanato Goto The University of Tokyo, Komaba Particle Theory Group based on arxiv:1605.02835 KG and M.Miyaji and T.Takayanagi Kanato Goto (Tokyo
More informationGravity Actions from Tensor Networks
Gravity Actions from Tensor Networks [hep-th/1609.04645] with T. Takayanagi and K. Watanabe and ongoing work with P. Caputa, N. Kundu, T. Takayanagi, K. Watanabe Masamichi Miyaji Yukawa Institute for Theoretical
More informationProjection Measurement and Holography
Seminar@Osaka, April 10, 2017 Projection Measurement and Holography Tokiro Numasawa Osaka University Particle Physics Theory Based on JHEP08(2016)077 arxiv:1604.01772 [hep-th] Collaboration with N.Shiba(Harvard)
More informationBulk local states on the black holes in AdS/CFT
Bulk local states on the black holes in AdS/CFT Kanato Goto The University of Tokyo,Komaba Holography,Quantum Entanglement and Higher Spin Gravity, Feb.6 th -7 th @YITP,Kyoto Based on the work in progress
More informationHolographic Entanglement Entropy
Motivation Time-dependent Multi-region Summary Holographic entanglement entropy for time dependent states and disconnected regions Durham University INT08: From Strings to Things, April 3, 2008 VH, M.
More informationTensor Networks, Renormalization and Holography (overview)
KITP Conference Closing the entanglement gap: Quantum information, quantum matter, and quantum fields June 1 st -5 th 2015 Tensor Networks, Renormalization and Holography (overview) Guifre Vidal KITP Conference
More informationHolographic Entanglement Entropy. (with H. Casini, M. Huerta, J. Hung, M. Smolkin & A. Yale) (arxiv: , arxiv: )
v Holographic Entanglement Entropy (with H. Casini, M. Huerta, J. Hung, M. Smolkin & A. Yale) (arxiv:1102.0440, arxiv:1110.1084) Entanglement Entropy what is entanglement entropy? general tool; divide
More informationEntanglement Entropy and AdS/CFT
Entanglement Entropy and AdS/CFT Christian Ecker 2 nd DK Colloquium January 19, 2015 The main messages of this talk Entanglement entropy is a measure for entanglement in quantum systems. (Other measures
More informationExact holography and entanglement entropy from one-point functions
Exact holography and entanglement entropy from one-point functions O-Kab Kwon (Sungkyunkwan University) In collaboration with Dongmin Jang, Yoonbai Kim, Driba Tolla arxiv:1612.05066, 1610.01490 1605.00849
More informationHolographic Geometries from Tensor Network States
Holographic Geometries from Tensor Network States J. Molina-Vilaplana 1 1 Universidad Politécnica de Cartagena Perspectives on Quantum Many-Body Entanglement, Mainz, Sep 2013 1 Introduction & Motivation
More informationEntanglement Entropy In Gauge Theories. Sandip Trivedi Tata Institute of Fundamental Research, Mumbai, India.
Entanglement Entropy In Gauge Theories Sandip Trivedi Tata Institute of Fundamental Research, Mumbai, India. On The Entanglement Entropy For Gauge Theories, arxiv: 1501.2593 Sudip Ghosh, Ronak Soni and
More informationHolographic Entanglement and Interaction
Holographic Entanglement and Interaction Shigenori Seki RINS, Hanyang University and Institut des Hautes Études Scientifiques Intrication holographique et interaction à l IHES le 30 janvier 2014 1 Contents
More information17 Eternal Black Holes and Entanglement
17 Eternal Black Holes and Entanglement References: This section is based mostly on Maldacena hep-th/0106112; see also the relevant section of Harlow s review lectures, 1409.1231. An eternal black hole
More informationHolography and (Lorentzian) black holes
Holography and (Lorentzian) black holes Simon Ross Centre for Particle Theory The State of the Universe, Cambridge, January 2012 Simon Ross (Durham) Holography and black holes Cambridge 7 January 2012
More informationQuantum entanglement, it s entropy, and why we calculate it
Quantum entanglement, it s entropy, and why we calculate it Piotr Witkowski Max Planck Institute for Physics 14.7 2016 Munich 1 What is entanglement? 2 Quantifying entanglement the entropy 3 The (very)
More informationUniversal terms in the Entanglement Entropy of Scale Invariant 2+1 Dimensional Quantum Field Theories
Universal terms in the Entanglement Entropy of Scale Invariant 2+1 Dimensional Quantum Field Theories Eduardo Fradkin Department of Physics and Institute for Condensed Matter Theory, University of Illinois
More informationFrom Black holes to Qubits through String Theoretic Microscopes
ICHEP Formal Theory Development, July 10 th, 2018 @ Seoul From Black holes to Qubits through String Theoretic Microscopes Tadashi Takayanagi Yukawa Institute for Theoretical Physics Kyoto University 1
More informationEntanglement Entropy in Flat Holography
Entanglement Entropy in Flat Holography Based on work with Qiang Wen, Jianfei Xu( THU), and Hongliang Jiang( The HKUST) East Asian Joint Workshop KEK Theory workshop 2017 Bekenstein Bardeen-Carter-Hawking
More informationEntanglement, geometry and the Ryu Takayanagi formula
Entanglement, geometry and the Ryu Takayanagi formula Juan Maldacena Kyoto, 2013 Aitor Lewkowycz Lewkowycz, JM ArXiv:1304.4926 & Faulkner, Lewkowycz, JM, to appear Tom Faulkner Previously argued by Fursaev
More informationEntanglement and the Bekenstein-Hawking entropy
Entanglement and the Bekenstein-Hawking entropy Eugenio Bianchi relativity.phys.lsu.edu/ilqgs International Loop Quantum Gravity Seminar Black hole entropy Bekenstein-Hawking 1974 Process: matter falling
More informationEntanglement entropy in a holographic model of the Kondo effect
Entanglement entropy in a holographic model of the Kondo effect Mario Flory Max-Planck-Institut für Physik University of Oxford 05.05.2015 Mario Flory Entanglement entropy & Kondo 1 / 30 Overview Part
More informationDynamical fields in de Sitter from CFT entanglement
Dynamical fields in de Sitter from CFT entanglement Michał P. Heller Perimeter Institute for Theoretical Physics, Canada based on 1509.00113 with J. de Boer, R. Myers and Yasha Neiman Introduction Differential
More informationarxiv: v2 [hep-th] 10 Aug 2015
Entanglement Scrambling in 2d Conformal Field Theory Curtis T. Asplund, Alice Bernamonti, Federico Galli, and Thomas Hartman arxiv:1506.03772v2 [hep-th] 10 Aug 2015 Department of Physics, Columbia University,
More informationBlack Hole Entropy and Gauge/Gravity Duality
Tatsuma Nishioka (Kyoto,IPMU) based on PRD 77:064005,2008 with T. Azeyanagi and T. Takayanagi JHEP 0904:019,2009 with T. Hartman, K. Murata and A. Strominger JHEP 0905:077,2009 with G. Compere and K. Murata
More informationQuantum Fields, Gravity, and Complexity. Brian Swingle UMD WIP w/ Isaac Kim, IBM
Quantum Fields, Gravity, and Complexity Brian Swingle UMD WIP w/ Isaac Kim, IBM Influence of quantum information Easy Hard (at present) Easy Hard (at present)!! QI-inspired classical, e.g. tensor networks
More informationHolographic Second Laws of Black Hole Thermodynamics
Holographic Second Laws of Black Hole Thermodynamics Federico Galli Gauge/Gravity Duality 018, Würzburg, 31 July 018 Based on arxiv: 1803.03633 with A. Bernamonti, R. Myers and J. Oppenheim Second Law
More information5. a d*, Entanglement entropy and Beyond
Motivation: role of higher curvature interactions on AdS/CFT calculations Overview: 1. Introductory remarks on c-theorem and CFT s 2. Holographic c-theorem I: Einstein gravity 3. Holographic c-theorem
More informationConformal Blocks, Entanglement Entropy & Heavy States
Conformal Blocks, Entanglement Entropy & Heavy States Pinaki Banerjee The Institute of Mathematical Sciences, Chennai April 25, 2016 arxiv : 1601.06794 Higher-point conformal blocks & entanglement entropy
More informationBlack Holes are Alpha-Bit Sup
Black Holes are Alpha-Bit Sup arxiv:1706.09434, arxiv:1805.????? Patrick Hayden and Geoffrey Penington, Stanford University Preview Qubits are composite resources Another resource (that you have never
More informationarxiv: v1 [hep-th] 21 Jun 2017
YITP-17-65 IPMU17-0091 Liouville Action as Path-Integral Complexity: From Continuous Tensor Networks to AdS/CFT arxiv:1706.07056v1 [hep-th] 21 Jun 2017 Pawel Caputa a, Nilay Kundu a, Masamichi Miyaji a,
More informationQuantum Entanglement and the Geometry of Spacetime
Quantum Entanglement and the Geometry of Spacetime Matthew Headrick Brandeis University UMass-Boston Physics Colloquium October 26, 2017 It from Qubit Simons Foundation Entropy and area Bekenstein-Hawking
More informationHIGHER SPIN CORRECTIONS TO ENTANGLEMENT ENTROPY
HIGHER SPIN CORRECTIONS TO ENTANGLEMENT ENTROPY JHEP 1406 (2014) 096, Phys.Rev. D90 (2014) 4, 041903 with Shouvik Datta ( IISc), Michael Ferlaino, S. Prem Kumar (Swansea U. ) JHEP 1504 (2015) 041 with
More informationCAUSAL WEDGES in AdS/CFT
CUSL WEDGES in ds/cft Veronika Hubeny Durham University Gauge/Gravity Duality 2013 Max Planck Institute for Physics, 29 July 2013 to 2 ugust 2013 Based on: VH & M.Rangamani: 1204.1698, VH, M.Rangamani,
More informationDon Marolf 7/17/14 UCSB
Don Marolf 7/17/14 UCSB D=4: F = GM 2 /r 2, dimensionless coupling GE 2 /ħc 5 grows with E. Quantum fluctuations are a problem, growing at short distances. Growth must(?) stop somewhere (non trivial fixed
More informationQuantum mechanics and the geometry of spacetime
Quantum mechanics and the geometry of spacetime Juan Maldacena PPCM Conference May 2014 Outline Brief review of the gauge/gravity duality Role of strong coupling in the emergence of the interior Role of
More informationGauge/Gravity Duality and the Black Hole Interior
Gauge/Gravity Duality and the Black Hole Interior Joseph Polchinski Kavli Institute for Theoretical Physics University of California at Santa Barbara KIAS-YITP joint workshop String Theory, Black Holes
More informationEntanglement Inequalities
Entanglement Inequalities Hirosi Ooguri Walter Burke Institute for Theoretical Physics, Caltech Kavli IPMU, University of Tokyo Nafplion, Greece, 5 11 July 2015 1/44 Which CFT's have Gravity Duals? Which
More informationFlat Space Holography
Flat Space Holography Daniel Grumiller Institute for Theoretical Physics TU Wien Quantum vacuum and gravitation Mainz, June 2015 based on work w. Afshar, Bagchi, Basu, Detournay, Fareghbal, Gary, Riegler,
More informationhigher genus partition functions from three dimensional gravity
higher genus partition functions from three dimensional gravity Henry Maxfield 1601.00980 with Simon Ross (Durham) and Benson Way (DAMTP) 21 March 2016 McGill University 1 motivation entanglement and geometry
More informationIntroduction to AdS/CFT
Introduction to AdS/CFT Who? From? Where? When? Nina Miekley University of Würzburg Young Scientists Workshop 2017 July 17, 2017 (Figure by Stan Brodsky) Intuitive motivation What is meant by holography?
More informationEmergence of Holographic Spacetime From Quantum Entanglement
International Workshop on Condensed Matter Physics and ds/cft @ Kavli IPMU, Tokyo, May 5-9, 015 Emergence of Holographic Spacetime From Qantm Entanglement ``Srface/State Correspodence Tadashi Takayanagi
More informationOne-loop Partition Function in AdS 3 /CFT 2
One-loop Partition Function in AdS 3 /CFT 2 Bin Chen R ITP-PKU 1st East Asia Joint Workshop on Fields and Strings, May 28-30, 2016, USTC, Hefei Based on the work with Jie-qiang Wu, arxiv:1509.02062 Outline
More informationOut of Time Ordered. Beni Yoshida (Perimeter) [1] Chaos in quantum channel, Hosur, Qi, Roberts, BY
Out of Time Ordered Beni Yoshida (Perimeter) [1] Chaos in quantum channel, Hosur, Qi, Roberts, BY 1511.04021 [2] Complexity by design, (in prep, with Daniel Roberts) Scrambling Out-of-time ordered correlation
More informationQuantum Information and Entanglement in Holographic Theories
Quantum Information and Entanglement in Holographic Theories Matthew Headrick randeis University Contents 1 asic notions 2 1.1 Entanglement entropy & mutual information............................ 2 1.2
More informationHolographic entanglement entropy
Holographic entanglement entropy Mohsen Alishahiha School of physics, Institute for Research in Fundamental Sciences (IPM) 21th Spring Physics Conference, 1393 1 Plan of the talk Entanglement entropy Holography
More informationIntroduction to the Ryu-Takayanagi Formula
Introduction to the Ryu-Takayanagi Formula PHYS 48300 String Theory-1, Masaya Fukami {13 March 2018} 1 Introduction The idea of holography has played central roles in recent developments of string theory.
More informationEntanglement: concept, measures and open problems
Entanglement: concept, measures and open problems Division of Mathematical Physics Lund University June 2013 Project in Quantum information. Supervisor: Peter Samuelsson Outline 1 Motivation for study
More informationEmergent Causality in Holography
Emergent Causality in Holography Netta Engelhardt Princeton University 20.6.18 Based mostly on: NE, Horowitz 16; NE 16; NE, Fischetti 17 Spacetime Emergence Holography: the equivalence of a higher-dim
More informationNew Compressible Phases From Gravity And Their Entanglement. Sandip Trivedi, TIFR, Mumbai Simons Workshop, Feb 2013
New Compressible Phases From Gravity And Their Entanglement Sandip Trivedi, TIFR, Mumbai Simons Workshop, Feb 2013 Collaborators: Kevin Goldstein, Nori Iizuka, Shamit Kachru, Nilay Kundu, Prithvi Nayaran,
More informationQuantum phase transitions in condensed matter
Quantum phase transitions in condensed matter The 8th Asian Winter School on Strings, Particles, and Cosmology, Puri, India January 11-18, 2014 Subir Sachdev Talk online: sachdev.physics.harvard.edu HARVARD
More informationA Solvable Irrelevant
A Solvable Irrelevant Deformation of AdS $ / CFT * A. Giveon, N. Itzhaki, DK arxiv: 1701.05576 + to appear Strings 2017, Tel Aviv Introduction QFT is usually thought of as an RG flow connecting a UV fixed
More informationEntanglement entropy and the F theorem
Entanglement entropy and the F theorem Mathematical Sciences and research centre, Southampton June 9, 2016 H RESEARH ENT Introduction This talk will be about: 1. Entanglement entropy 2. The F theorem for
More informationHILBERT SPACE NETWORKS AND UNITARY MODELS FOR BLACK HOLE EVOLUTION
HILBERT SPACE NETWORKS AND UNITARY MODELS FOR BLACK HOLE EVOLUTION S.B. Giddings UCSB KITP April 25, 2012 Refs: SBG 1108.2015, 1201.1037; SBG and Y. Shi, work in progress The black hole information paradox,
More informationBit Threads & Holographic Monogamy
Bit Threads & Holographic Monogamy Matthew Headrick Brandeis University Entanglement in Quantum Systems GGI Florence, June 2018 Based on arxiv:1604.00354 [hep-th] with M. Freedman & forthcoming work with
More informationLocal bulk physics from Intersecting Modular Hamiltonians
Local bulk physics from Intersecting Modular Hamiltonians arxiv:1703.06523 D. Kabat and G. Lifschytz Crete regional meeting July 2017 Introduction How does bulk physics arise from the CFT? How do the degrees
More informationSPACETIME FROM ENTANGLEMENT - journal club notes -
SPACETIME FROM ENTANGLEMENT - journal club notes - Chris Heinrich 1 Outline 1. Introduction Big picture: Want a quantum theory of gravity Best understanding of quantum gravity so far arises through AdS/CFT
More informationQuantum measurement in two-dimensional conformal field theories: Application to quantum energy teleportation
Quantum measurement in two-dimensional conformal field theories: Application to quantum energy teleportation Wu-Zhong Guo a and Feng-Li Lin b,c a Physics Division, National Center for Theoretical Sciences,
More informationA Proof of the Covariant Entropy Bound
A Proof of the Covariant Entropy Bound Joint work with H. Casini, Z. Fisher, and J. Maldacena, arxiv:1404.5635 and 1406.4545 Raphael Bousso Berkeley Center for Theoretical Physics University of California,
More informationHolographic Entanglement Beyond Classical Gravity
Holographic Entanglement Beyond Classical Gravity Xi Dong Stanford University August 2, 2013 Based on arxiv:1306.4682 with Taylor Barrella, Sean Hartnoll, and Victoria Martin See also [Faulkner (1303.7221)]
More informationHolographic Entanglement Entropy in. Model( Dissertation_ 全文 )
Holographic Entanglement Entropy in TitleCorrespondence and Entanglement Ent Model( Dissertation_ 全文 ) Author(s) Sato, Yoshiki Citation Kyoto University ( 京都大学 ) Issue Date 2016-03-23 URL https://doi.org/10.14989/doctor.k19
More informationAutocorrelators in models with Lifshitz scaling
Autocorrelators in models with Lifshitz scaling Lárus Thorlacius based on V. Keränen & L.T.: Class. Quantum Grav. 29 (202) 94009 arxiv:50.nnnn (to appear...) International workshop on holography and condensed
More informationScale invariance on the lattice
Coogee'16 Sydney Quantum Information Theory Workshop Feb 2 nd - 5 th, 2016 Scale invariance on the lattice Guifre Vidal Coogee'16 Sydney Quantum Information Theory Workshop Feb 2 nd - 5 th, 2016 Scale
More information31st Jerusalem Winter School in Theoretical Physics: Problem Set 2
31st Jerusalem Winter School in Theoretical Physics: Problem Set Contents Frank Verstraete: Quantum Information and Quantum Matter : 3 : Solution to Problem 9 7 Daniel Harlow: Black Holes and Quantum Information
More informationarxiv: v1 [hep-th] 6 Feb 2018
Black Holes and Complexity Classes arxiv:1802.02175v1 [hep-th] 6 Feb 2018 Leonard Susskind Stanford Institute for Theoretical Physics and Department of Physics, Stanford University, Stanford, CA 94305-4060,
More informationThe holographic approach to critical points. Johannes Oberreuter (University of Amsterdam)
The holographic approach to critical points Johannes Oberreuter (University of Amsterdam) Scale invariance power spectrum of CMB P s (k) / k n s 1 Lambda archive WMAP We need to understand critical points!
More informationChaos, quantum complexity and holographic operator growth. Dmitry Ageev
Chaos, quantum complexity and holographic operator growth Dmitry Ageev Steklov Mathematical Institute Based on D.A., I. Aref eva, arxiv :1806.05574, Gauge/Gravity Duality 2018, Wurzburg Outlook The chaos
More informationLocal RG, Quantum RG, and Holographic RG. Yu Nakayama Special thanks to Sung-Sik Lee and Elias Kiritsis
Local RG, Quantum RG, and Holographic RG Yu Nakayama Special thanks to Sung-Sik Lee and Elias Kiritsis Local renormalization group The main idea dates back to Osborn NPB 363 (1991) See also my recent review
More informationHOLOGRAPHIC PROBES! COLLAPSING BLACK HOLES OF! Veronika Hubeny! Durham University & Institute for Advanced Study
HOLOGRAPHIC PROBES! OF! COLLAPSING BLACK HOLES Veronika Hubeny! Durham University & Institute for Advanced Study New frontiers in dynamical gravity workshop Cambridge, March 26, 2014 Based on work w/ H.
More informationHolographic methods for cosmology. Gonzalo Torroba Stanford University
Holographic methods for cosmology Gonzalo Torroba Stanford University Observations and Theoretical Challenges in Primordial Cosmology KITP, UCSB, April 2013 Members of the collaboration Matt Dodelson Shunji
More informationRG Flows, Entanglement & Holography Workshop. Michigan Center for Theore0cal Physics September 17 21, 2012
RG Flows, Entanglement & Holography Workshop Michigan Center for Theore0cal Physics September 17 21, 2012 Intersec0ons in Theore0cal Physics: Par$cle Physics Sta$s$cal Mechanics Renormalization Group Flows
More informationarxiv: v2 [hep-th] 13 Sep 2015
Non-linear Holographic Entanglement Entropy Inequalities for Single Boundary D CFT Emory Brown, 1, Ning Bao, 1, and Sepehr Nezami 3 1 Institute for Quantum Information and Matter Walter Burke Institute
More informationRényi Entropy in AdS 3 /CFT 2 (with W symmetry)
EE HEE CFT Torus Conclusion Extras Bin Chen R Peking University International Conference on String Field Theory and Related Aspects May 11-15, 2015, CTP, Sichuan University, Chengdu EE HEE CFT Torus Conclusion
More informationAn Inverse Mass Expansion for Entanglement Entropy. Free Massive Scalar Field Theory
in Free Massive Scalar Field Theory NCSR Demokritos National Technical University of Athens based on arxiv:1711.02618 [hep-th] in collaboration with Dimitris Katsinis March 28 2018 Entanglement and Entanglement
More informationHyperscaling violation and entanglement entropy in gauge/string theory
Hyperscaling violation and entanglement entropy in gauge/string theory K. Narayan Chennai Mathematical Institute Introduction, summary Lightcone SYM, string theory, AdS plane waves AdS plane waves, hyperscaling
More informationSome applications of integral geometry in AdS/CFT
Some applications of integral geometry in AdS/CFT Xing Nov 2nd @ USTC Outline Review of integral geometry OPE block and reconstruction of bulk operators Entanglement renormalization Entanglement entropy
More informationBLACK HOLES, QUANTUM INFORMATION TRANSFER, AND HILBERT-SPACE NETWORKS
BLACK HOLES, QUANTUM INFORMATION TRANSFER, AND HILBERT-SPACE NETWORKS S.B. Giddings UCSB Black Holes and Information KITP May 21, 2012 Refs: SBG 1108.2015, 1201.1037; SBG and Y. Shi, 1205.xxxx The information
More informationCFT PROBES OF BULK GEOMETRY
CFT PROBES OF BULK GEOMETRY Veronika Hubeny Durham University May 24, 2012 Based on: VH: 1203.1044 VH & M.Rangamani: 1204.1698 OUTLINE Motivation & Background Features of Extremal Surfaces Probing Horizons
More informationRényi Entropy in AdS 3 /CFT 2
Rényi Entropy in AdS 3 /CFT 2 Bin Chen R Peking University String 2016 August 1-5, Beijing (a) Jia-ju Zhang (b) Jiang Long (c) Jie-qiang Wu Based on the following works: B.C., J.-j. Zhang, arxiv:1309.5453
More informationBlack Hole Collapse in Large-C CFT
Black Hole Collapse in Large-C CFT Julian Sonner Oxford 13 July 2016 Tarek Anous (MIT) Thomas Hartman (Cornell) Antonin Rovai (Geneva) Introduction The black hole as movie star: Gargantua Gargantua, C.
More informationHolography for Black Hole Microstates
1 / 24 Holography for Black Hole Microstates Stefano Giusto University of Padua Theoretical Frontiers in Black Holes and Cosmology, IIP, Natal, June 2015 2 / 24 Based on: 1110.2781, 1306.1745, 1311.5536,
More informationarxiv: v2 [hep-th] 27 Dec 2018
OCU-PHYS 49 USTC-ICTS-18- Dynamics of logarithmic negativity and mutual information in smooth quenches Hiroyuki Fujita, Mitsuhiro Nishida, Masahiro Nozaki, and Yuji Sugimoto Institute for Solid State Physics,
More informationarxiv: v1 [hep-th] 16 Jan 2018
Prepared for submission to JHEP Space-time random tensor networks and holographic duality arxiv:1801.05289v1 [hep-th] 16 Jan 2018 Xiao-Liang Qi, and Zhao Yang Stanford Institute for Theoretical Physics,
More informationarxiv: v3 [hep-th] 11 Feb 2015
Entanglement density and gravitational thermodynamics DCPT-14/77, YITP-104, IPMU14-0359 arxiv:141.547v3 [hep-th] 11 Feb 015 Jyotirmoy Bhattacharya, 1, Veronika E. Hubeny, 1, Mukund Rangamani, 1,, 3, and
More informationDiving into traversable wormholes
Diving into traversable wormholes Douglas Stanford IAS July 5, 2017 Based on 1704.05333 with Juan Maldacena and Zhenbin Yang, following up on 1608.05687 by Ping Gao, Daniel Jafferis, and Aron Wall. Wormholes
More informationThermalization after holographic bilocal quench
Prepared for submission to JHEP Thermalization after holographic bilocal quench arxiv:1706.07390v3 [hep-th] 10 Oct 017 Irina Ya. Aref eva, Mikhail A. Khramtsov, Maria D. Tikhanovskaya Steklov Mathematical
More informationEric Perlmutter, DAMTP, Cambridge
Eric Perlmutter, DAMTP, Cambridge Based on work with: P. Kraus; T. Prochazka, J. Raeymaekers ; E. Hijano, P. Kraus; M. Gaberdiel, K. Jin TAMU Workshop, Holography and its applications, April 10, 2013 1.
More informationHIGHER SPIN DUALITY from THERMOFIELD DOUBLE QFT. AJ+Kenta Suzuki+Jung-Gi Yoon Workshop on Double Field Theory ITS, ETH Zurich, Jan 20-23,2016
HIGHER SPIN DUALITY from THERMOFIELD DOUBLE QFT AJ+Kenta Suzuki+Jung-Gi Yoon Workshop on Double Field Theory ITS, ETH Zurich, Jan 20-23,2016 Overview } Construction of AdS HS Gravity from CFT } Simplest
More informationCovariant Prescription of Holographic Entanglement Entropy in AdS 3 and BTZ Black Hole
Master Thesis Covariant Prescription of Holographic Entanglement Entropy in AdS 3 and BTZ Black Hole Mario Benites High Energy Physics, Department of Theoretical Physics, School of Engineering Sciences
More informationQuantum phase transitions in condensed matter physics, with connections to string theory
Quantum phase transitions in condensed matter physics, with connections to string theory sachdev.physics.harvard.edu HARVARD High temperature superconductors Cuprates High temperature superconductors Pnictides
More information