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Academic literature on the topic 'Entanglement in holography'

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Published: 10 March 2023

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Journal articles on the topic "Entanglement in holography"

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Defienne, Hugo, Bienvenu Ndagano, Ashley Lyons, and Daniele Faccio. "Polarization entanglement-enabled quantum holography." Nature Physics 17, no. 5 (February 4, 2021): 591–97. http://dx.doi.org/10.1038/s41567-020-01156-1.

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Pakman, Ari, and Andrei Parnachev. "Topological entanglement entropy and holography." Journal of High Energy Physics 2008, no. 07 (July 22, 2008): 097. http://dx.doi.org/10.1088/1126-6708/2008/07/097.

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Obregón, O. "Generalized Entanglement Entropy and Holography." Journal of Physics: Conference Series 1010 (April 2018): 012009. http://dx.doi.org/10.1088/1742-6596/1010/1/012009.

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Jensen, Kristan, and Julian Sonner. "Wormholes and entanglement in holography." International Journal of Modern Physics D 23, no. 12 (October 2014): 1442003. http://dx.doi.org/10.1142/s0218271814420036.

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In this paper, we consider highly entangled states in theories with a gravity dual, where the entangled degrees of freedom are causally disconnected from each other. Using the basic rules of holography, we argue that there is a nontraversable wormhole in the gravity dual whose geometry encodes the pattern of the entanglement.
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Giataganas, D., and N. Tetradis. "Entanglement entropy, horizons and holography." Physics Letters B 796 (September 2019): 88–92. http://dx.doi.org/10.1016/j.physletb.2019.07.019.

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Gan, Wen-Cong, and Fu-Wen Shu. "Holography as deep learning." International Journal of Modern Physics D 26, no. 12 (October 2017): 1743020. http://dx.doi.org/10.1142/s0218271817430209.

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Quantum many-body problem with exponentially large degrees of freedom can be reduced to a tractable computational form by neural network method [G. Carleo and M. Troyer, Science 355 (2017) 602, arXiv:1606.02318.] The power of deep neural network (DNN) based on deep learning is clarified by mapping it to renormalization group (RG), which may shed lights on holographic principle by identifying a sequence of RG transformations to the AdS geometry. In this paper, we show that any network which reflects RG process has intrinsic hyperbolic geometry, and discuss the structure of entanglement encoded in the graph of DNN. We find the entanglement structure of DNN is of Ryu–Takayanagi form. Based on these facts, we argue that the emergence of holographic gravitational theory is related to deep learning process of the quantum-field theory.
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Schwimmer, A., and S. Theisen. "Entanglement entropy, trace anomalies and holography." Nuclear Physics B 801, no. 1-2 (September 2008): 1–24. http://dx.doi.org/10.1016/j.nuclphysb.2008.04.015.

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Buniy, Roman V., and Stephen D. H. Hsu. "Entanglement entropy, black holes and holography." Physics Letters B 644, no. 1 (January 2007): 72–76. http://dx.doi.org/10.1016/j.physletb.2006.10.061.

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Colafranceschi, Eugenia, and Gerardo Adesso. "Holographic entanglement in spin network states: A focused review." AVS Quantum Science 4, no. 2 (June 2022): 025901. http://dx.doi.org/10.1116/5.0087122.

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In the long-standing quest to reconcile gravity with quantum mechanics, profound connections have been unveiled between concepts traditionally pertaining to a quantum information theory, such as entanglement, and constitutive features of gravity, like holography. Developing and promoting these connections from the conceptual to the operational level unlock access to a powerful set of tools which can be pivotal toward the formulation of a consistent theory of quantum gravity. Here, we review recent progress on the role and applications of quantum informational methods, in particular tensor networks, for quantum gravity models. We focus on spin network states dual to finite regions of space, represented as entanglement graphs in the group field theory approach to quantum gravity, and illustrate how techniques from random tensor networks can be exploited to investigate their holographic properties. In particular, spin network states can be interpreted as maps from bulk to boundary, whose holographic behavior increases with the inhomogeneity of their geometric data (up to becoming proper quantum channels). The entanglement entropy of boundary states, which are obtained by feeding such maps with suitable bulk states, is then proved to follow a bulk area law with corrections due to the entanglement of the bulk state. We further review how exceeding a certain threshold of bulk entanglement leads to the emergence of a black hole-like region, revealing intriguing perspectives for quantum cosmology.
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Jang, Dongmin, Yoonbai Kim, O.-Kab Kwon, and D. D. Tolla. "Exact Holography of Massive M2-brane Theories and Entanglement Entropy." EPJ Web of Conferences 168 (2018): 07002. http://dx.doi.org/10.1051/epjconf/201816807002.

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We test the gauge/gravity duality between the N = 6 mass-deformed ABJM theory with Uk(N) × U-k(N) gauge symmetry and the 11-dimensional supergravity on LLM geometries with SO(4)=ℤk × SO(4)=ℤk isometry. Our analysis is based on the evaluation of vacuum expectation values of chiral primary operators from the supersymmetric vacua of mass-deformed ABJM theory and from the implementation of Kaluza-Klein (KK) holography to the LLM geometries. We focus on the chiral primary operator (CPO) with conformal dimension Δ = 1. The non-vanishing vacuum expectation value (vev) implies the breaking of conformal symmetry. In that case, we show that the variation of the holographic entanglement entropy (HEE) from it’s value in the CFT, is related to the non-vanishing one-point function due to the relevant deformation as well as the source field. Applying Ryu Takayanagi’s HEE conjecture to the 4-dimensional gravity solutions, which are obtained from the KK reduction of the 11-dimensional LLM solutions, we calculate the variation of the HEE. We show how the vev and the value of the source field determine the HEE.
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Dissertations / Theses on the topic "Entanglement in holography"

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Berthiere, Clément. "Entanglement, boundaries and holography." Thesis, Tours, 2017. http://www.theses.fr/2017TOUR4017.

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La notion d’entropie d’intrication a eu un profond impact sur la physique théorique, particulièrement depuis ces dix dernières années. D’abord introduite afin expliquer l’entropie des trous noirs, son champ d’application s’est par la suite ouvert à une grande variété de domaines de recherche, de la matière condensée à la gravitation quantique, de l’information quantique à la théorie quantique des champs. Dans ce contexte scientifique effervescent, l’entropie d’intrication apparait comme un outil central et doit donc intensivement être étudiée. A l’origine de cette thèse se trouve le désir de mieux comprendre cette entropie. D’intéressants développements concernant les effets de bord sur l’entropie d’intrication ont vu le jour récemment. Nous proposons donc d’explorer comment le bord d’un espace affecte l’entropie, en particulier dans la situation où la surface d’intrication intersecte ce bord. Nous présentons des calculs explicites de l’entropie d’intrication en espace plat avec bords. Nous montrons que des termes induits par ces bords apparaissent dans l’entropie et nous soulignons le rôle prépondérant que jouent les conditions aux bords. Nous étudions ensuite la contribution de bord dans le terme logarithmique de l’entropie d’intrication en dimensions trois et quatre. Nous calculons en premier lieu ce terme en théorie des champs pour la théorie N = 4 de Yang-Mills, puis nous répétons ce calcul de manière holographique. Nous montrons que ces deux méthodes de calcul donnent le même résultat, si du côté théorie des champs les conditions aux bords préservent la moitié de la supersymétrie et que du côté gravité l’extension du bord dans le bulk est une surface minimale
The entanglement entropy has had a tremendous and profound impact on theoretical physics, particularly since the last decade. First introduced in an attempt to explain black holes entropy, it has then found applications in a wide range of research areas, from condensed matter physics to quantum gravity, from quantum information to quantum field theory. In this exciting scientific context, the entanglement entropy has thus emerged as a useful and pivotal tool, and as such justifies the need to be intensively studied. At the heart of this thesis therefore lies the desire to better understand the entanglement entropy. Interesting developments during the recent years concern the boundary effects on the entanglement entropy. This dissertation proposes to explore the question of how the presence of spacetime boundaries affects the entropy, specifically in situations where the entangling surface intersects these boundaries. We present explicit calculations of entanglement entropy in flat spacetime with plane boundaries. We show that boundary induced terms appear in the entropy and we emphasize the prominent role of the boundary conditions. We then study the boundary contribution to the logarithmic term in the entanglement entropy in three and four dimensions. We perform the field theoretic computation of this boundary term for the free N = 4 super-gauge multiplet and then repeat the same calculation holographically. We show that these two calculations are in agreement provided that on the field theory side one chooses the boundary conditions which preserve half of the full supersymmetry and that on the gravity side the extension of the boundary in the bulk is minimal
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Woodhead, William Robert. "Applications of holography and entanglement." Thesis, University of Southampton, 2017. https://eprints.soton.ac.uk/415894/.

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In this thesis we will investigate a number of topics on the applications of the gauge-gravity duality to topics in condensed matter physics and quantum entanglement. This duality is a conjectured equivalence between type IIB string theory on asymptotically anti-de Sitter backgrounds with certain quantum field theories in one dimension less. Using this conjecture we can model strongly-coupled quantum systems using classical gravity duals which provide novel methods for calculating otherwise computationally inaccessible quantum properties. We will use this for the following applications: • We study a novel method for introducing broken translational symmetry into a holographic model whilst retaining homogeneity in the field equations. We demonstrate that this leads to a finite DC conductivity and shows features of heavy fermion models in the AC conductivity. • We explore the nature of real time scalar correlators in holographic models of critical systems that possess a non-relativistic scaling symmetry. Specifically we explore systems with dual Schrödinger or Lifshitz scaling symmetries, and discuss the problems that arise when trying to apply the standard framework of real time holography to these systems. • We provide an explicit counterexample to the holographic F-theorem, and an analytic argument that shows that this violation is not specific to the model in consideration but is rather a more general property of a class of holographic systems. • Finally we introduce a holographic renormalization scheme for the entanglement entropy based on the standard framework of holographic renormalization. We connect this to the field theory via the replica trick and use it to calculate a number of explicit examples both analytically and numerically.
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Maxfield, Henry David. "The geometry and topology of quantum entanglement in holography." Thesis, Durham University, 2015. http://etheses.dur.ac.uk/11117/.

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In this thesis I explore the connection between geometry and quantum entanglement, in the context of holographic duality, where entanglement entropies in a quantum field theory are associated with the areas of surfaces in a dual gravitational theory. The first chapter looks at a phase transition in such systems in finite size and at finite temperature, associated with the properties of minimal surfaces in a static black hole background. This is followed by the related problem of extremal surfaces in a spacetime describing the dynamical process of black hole formation, with a view towards understanding the connections between bulk locality and various field theory observables including entanglement entropy. The third chapter looks at the simple case of pure gravity in three spacetime dimensions, where I show how evaluating the entanglement entropy can be reduced to a simple algebraic calculation, and apply it to some interesting examples. Finally, the role played by topology of surfaces in a proposed derivation of a holographic entanglement entropy formula is investigated. This makes it clear what assumptions are required in order to reproduce the ‘homology constraint’, a topological condition necessary for consistency with field theory.
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Brehm, Enrico [Verfasser], and Ilka [Akademischer Betreuer] Brunner. "Entanglement through interfaces and toy models of holography / Enrico Brehm ; Betreuer: Ilka Brunner." München : Universitätsbibliothek der Ludwig-Maximilians-Universität, 2017. http://d-nb.info/1153338297/34.

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Štikonas, Andrius. "Entanglement entropy of locally perturbed thermal systems." Thesis, University of Edinburgh, 2017. http://hdl.handle.net/1842/28910.

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In this thesis we study the time evolution of Rényi and entanglement entropies of thermal states in Conformal Field Theory (CFT). These quantities are usually hard to compute but Ryu-Takayanagi (RT) and Hubeny-Rangamani-Takayanagi (HRT) proposals allow us to find the same quantities using calculations in general relativity. We will introduce main concepts of holography, quantum information and conformal field theory that will be used to derive the results of this thesis. In the first part of the thesis, we explicitly compute entanglement entropy of the rotating BTZ black hole by directly applying HRT proposal and finding lengths of spacelike geodesics. Rényi entropy of thermal state perturbed by a local quantum quench is computed by mapping correlators on two glued cylinders to the plane for field theory containing a single free boson and for 2d CFTs in the large c limit. We consider Thermofield Double State (TFD) which is an entangled state in direct product of two 2D CFTs. It is conjectured to be holographically equivalent to the eternal BTZ black hole. TFD state is perturbed by a local quench in one CFT and mutual information between two intervals in two CFTs is computed. We find when mutual information vanishes and interpret this as scrambling time, i.e. time scale required for the system to thermalize. This field theory result is modelled with a massive free falling particle in the BTZ black hole. We have computed the back-reaction of the particle on the metric of BTZ and used RT proposal to find holographic entanglement entropy. Finally, we generalize this calculation to the case of rotating BTZ with inner and outer horizons. It is dual to the CFT with different temperatures for left and right moving modes. We calculate mutual information and scrambling time and find exact agreement between results in the gravity and those in the CFT.
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Umemoto, Koji. "Multipartite, Quantum, and Classical Correlation in the AdS/CFT correspondence." Doctoral thesis, Kyoto University, 2021. http://hdl.handle.net/2433/263453.

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Sá, Felipe Soares. "Aspectos de complexidade em holografia." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/43/43134/tde-07052018-140636/.

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Recentemente, uma quantidade de informação/computação quântica chamada complexidade computacional tem adquirido mais e mais importância no estudo de buracos negros.Resumidamente, complexidade mede a dificuldade de alguma tarefa. No contexto de mecânica quântica (ou mesmo para estados em uma CFT), qualquer estado tem uma complexidade associada, uma vez que o processo de preparar algum estado, usando operações unitárias, é uma tarefa por sí só. Propostas holográficas para o cálculo de complexidade tem sido desenvolvidas nos anos recentes. Há duas delas que estão mais desenvolvidas: as conjecturas complexidade=volume e complexidade=ação. No contexto da correspondência AdS/CFT é sabido que o buraco negro de Schwarzschild em AdS é dual à um estado térmico que descreve duas CFTs emaranhadas. Para esse caso em específico, a conjectura complexidade=volume iguala a complexidade do estado que descreve esse par de CFTs emaranhadas com o volume da máxima superfície de codimensão um no espaço-tempo dual. Por outro lado, a conjectura complexidade=ação iguala a complexidade da borda com a ação gravitacional calculada sobre uma região do espaço-tempo conhecida como Wheeler-DeWitt patch. O objetivo dessa tese é proporcionar os requisitos necessários para entender as conjecturas relacionadas com complexidade, monstrando alguns resultados importantes proporcionados pelos cálculos holográficos no lado gravitacional.
In recent years, a quantity from quantum information/computation called computational complexity has been acquiring more and more importance in the study of black holes. Briefly, complexity measures the hardness of some task. In the context of quantum mechanics (or even for states in a CFT), any state has an associated complexity, once the process of to preparing some state, using unitary operations, is a task by itself. Holographic proposals for the computation of complexity have been developed in recent years. There are two of them that are more developed: the complexity=volume and complexity=action conjectures. In the context of the AdS/CFT correspondence, it is known that the two sided AdS-Schwarzschild black hole is dual to some thermal state that describes two entangled CFTs. For this specific case, the complexity=volume conjecture equates the complexity of the state that describes this pair of entangled CFTs with the volume of the maximal codimension-one surface in the dual space-time. On the other hand, the complexity=action conjecture equates the boundary complexity with the gravitational action evaluated on a region of space-time known as the Wheeler-DeWitt patch. The goal of this thesis is to provide the necessary requisites to understand the conjectures related to complexity, showing some important results provided by holographic computations on the gravitational side.
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Rota, Massimiliano. "An operational perspective on holographic entanglement." Thesis, Durham University, 2016. http://etheses.dur.ac.uk/11549/.

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The work presented in this thesis is a contribution towards the understanding of holo- graphic entanglement from an operational perspective. Following the interpretation which is most natural for quantum information theory, entanglement is viewed as a resource that can be produced, stored, transferred and used for practical purposes. The first chapter introduces the main concepts which are necessary throughout the discussion. Quantum entanglement, as opposed to merely classical correlation, is presented in detail within the framework of quantum mechanics. This is followed by a brief overview on the current state of knowledge about entanglement in quantum field theory and more specifically in gauge/gravity duality. The second chapter investigates a particular measure of entanglement, known as nega- tivity, in the context of holographic field theories. This is further explored in the following (third) chapter, where an interesting dependence of the entanglement between a region and its complement on the topology of their interface is presented. The forth chapter investigates qubits systems and compares equivalence classes of entanglement structures to known properties of holographic states. The fifth chapter focuses on the behaviour of the tripartite information for highly en- tangled states, both in a bipartite and multipartite sense, in relation to the sign definiteness imposed by holography. A final chapter comments on future directions of investigation within this program.
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Sato, Yoshiki. "Holographic Entanglement Entropy in the dS/CFT Correspondence and Entanglement Entropy in the Sp(N) Model." 京都大学 (Kyoto University), 2016. http://hdl.handle.net/2433/215307.

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Rad, Ali I. "The strong subadditivity of holographic entanglement entropy ; from boundary to bulk." Thesis, University of British Columbia, 2017. http://hdl.handle.net/2429/62925.

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One decade ago, Ryu-Takayanagi explicitly introduced a formula that relates the entropy of a subregion in CFT system to a geometrical quantity which is called minimal surface in hyperbolic space. This formula extended to the idea of connection of gravy to quantum mechanics of gauge/gravity duality. This duality which can help us to learn a more interesting feature of each side from the other. Quantum systems obey from some constraints come from the quantum information theory. I would be interesting to find out what is the dual of this constraint in the gravitation system. Dual to the specific class of quantum theories which is called conformal field theories. One of the most significant constraint that QFTs should obey is the strong subadditivity of entanglement entropy. These constraints let the theories have bound on the energy spectrum from the below; Recently there has been the development that the combination of monotonicity of relative entropy and the strong subadditivity of entanglement entropy is equal to have a specific bound on the energy momentum tensor, called quantum null energy condition. In this thesis, we re-look to this argument by introducing the entanglement density and obtain a differential operator from the strong subadditivity and exploiting from the Markov property of the vacuum of CFT. In the next step, by using from the Ryu-Takayangi, we rewrite the strong subadditivity inequality regarding geometrical quantities. By using from the kinematic languages and intertwinement, we realize that the strong subadditivity at the boundary implies new bound on averaged energy condition which has some common feature with the quantum null energy condition statement.
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Books on the topic "Entanglement in holography"

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Rangamani, Mukund, and Tadashi Takayanagi. Holographic Entanglement Entropy. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-52573-0.

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Wu, Jie-qiang. AdS3/CFT2 and Holographic Entanglement Entropy. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-3212-8.

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Rangamani, Mukund, and Tadashi Takayanagi. Holographic Entanglement Entropy. Springer International Publishing AG, 2017.

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Rangamani, Mukund, and Tadashi Takayanagi. Holographic Entanglement Entropy. Springer, 2017.

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Wu, Jie-qiang. AdS3/CFT2 and Holographic Entanglement Entropy. Springer, 2019.

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Science and Reality: An examination of some problems in modern physics. London: Robert Temple, 2016.

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Book chapters on the topic "Entanglement in holography"

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Rangamani, Mukund, and Tadashi Takayanagi. "Holographic Entanglement Entropy." In Holographic Entanglement Entropy, 35–47. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-52573-0_4.

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Rangamani, Mukund, and Tadashi Takayanagi. "Entanglement and Renormalization." In Holographic Entanglement Entropy, 155–64. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-52573-0_10.

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Rangamani, Mukund, and Tadashi Takayanagi. "Geometry from Entanglement." In Holographic Entanglement Entropy, 185–220. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-52573-0_13.

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Rangamani, Mukund, and Tadashi Takayanagi. "Entanglement in QFT." In Holographic Entanglement Entropy, 7–26. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-52573-0_2.

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Rangamani, Mukund, and Tadashi Takayanagi. "Introduction." In Holographic Entanglement Entropy, 1–4. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-52573-0_1.

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Rangamani, Mukund, and Tadashi Takayanagi. "Prelude: Entanglement Builds Geometry." In Holographic Entanglement Entropy, 167–69. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-52573-0_11.

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Rangamani, Mukund, and Tadashi Takayanagi. "Entanglement at Large Central Charge." In Holographic Entanglement Entropy, 171–83. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-52573-0_12.

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Rangamani, Mukund, and Tadashi Takayanagi. "AdS/CFT and Tensor Networks." In Holographic Entanglement Entropy, 221–34. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-52573-0_14.

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Rangamani, Mukund, and Tadashi Takayanagi. "Entanglement Entropy in CFT2." In Holographic Entanglement Entropy, 27–32. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-52573-0_3.

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Rangamani, Mukund, and Tadashi Takayanagi. "Deriving Holographic Entanglement Proposals." In Holographic Entanglement Entropy, 49–64. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-52573-0_5.

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Conference papers on the topic "Entanglement in holography"

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Defienne, Hugo, Bienvenu Ndagano, Ashley Lyons, and Daniele Faccio. "Entanglement-enabled quantum holography." In Computational Optical Sensing and Imaging. Washington, D.C.: OSA, 2020. http://dx.doi.org/10.1364/cosi.2020.cth3c.2.

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Defienne, Hugo, Bienvenu Ndagano, Ashley Lyons, and Daniele Faccio. "Entanglement-enabled quantum holography." In Complex Light and Optical Forces XVI, edited by David L. Andrews, Enrique J. Galvez, and Halina Rubinsztein-Dunlop. SPIE, 2022. http://dx.doi.org/10.1117/12.2611318.

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Saleh, Bahaa E. A., Ayman F. Abouraddy, Alexander V. Sergienko, and Malvin C. Teich. "Quantum interferometry, entanglement, and holography." In 19th Congress of the International Commission for Optics: Optics for the Quality of Life, edited by Giancarlo C. Righini and Anna Consortini. SPIE, 2003. http://dx.doi.org/10.1117/12.525832.

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Headrick, Matthew. "Entanglement in Field Theory and Holography." In Theoretical Advanced Study Institute Summer School 2017 "Physics at the Fundamental Frontier". Trieste, Italy: Sissa Medialab, 2018. http://dx.doi.org/10.22323/1.305.0012.

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Marcer, Peter J., and Walter Schempp. "Quantum holography—the paradigm of quantum entanglement." In COMPUTING ANTICIPATORY SYSTEMS. ASCE, 1999. http://dx.doi.org/10.1063/1.58254.

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Caulfield, H. John. "Holography and optical computing: the ongoing entanglement." In Electronic Imaging 2003, edited by Tung H. Jeong and Sylvia H. Stevenson. SPIE, 2003. http://dx.doi.org/10.1117/12.478428.

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Lavdas, Ioannis. "Entanglement Islands, AdS-Massive Gravity and Holography." In Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity". Trieste, Italy: Sissa Medialab, 2022. http://dx.doi.org/10.22323/1.406.0208.

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Yu, Xiang-Yang, and Ge Li. "Entanglement Laser Holograph." In 2011 Symposium on Photonics and Optoelectronics (SOPO 2011). IEEE, 2011. http://dx.doi.org/10.1109/sopo.2011.5780673.

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Ecker, Christian. "Holographic Entanglement Entropy from Numerical Relativity." In Proceedings of the Corfu Summer Institute 2015. Trieste, Italy: Sissa Medialab, 2016. http://dx.doi.org/10.22323/1.263.0066.

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Babbitt, Wm Randall. "Microwave photonic processing with spatial-spectral holographic materials." In Optical, Opto-Atomic, and Entanglement-Enhanced Precision Metrology II, edited by Selim M. Shahriar and Jacob Scheuer. SPIE, 2020. http://dx.doi.org/10.1117/12.2552669.

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