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In the AdS/CFT correspondence, bulk causal structure has consequences for boundary entanglement. In quantum information science, causal structures can be replaced by distributed entanglement for the purposes of information processing. In…

High Energy Physics - Theory · Physics 2022-12-01 Alex May , Jonathan Sorce , Beni Yoshida

In the AdS/CFT correspondence, the causal structure of the bulk AdS spacetime is tied to entanglement in the dual CFT. This relationship is captured by the connected wedge theorem, which states that a bulk scattering process implies the…

High Energy Physics - Theory · Physics 2025-07-22 Jacqueline Caminiti , Batia Friedman-Shaw , Alex May , Robert C. Myers , Olga Papadoulaki

In AdS/CFT, there can exist local 2-to-2 bulk scattering processes even when local scattering is not possible on the boundary; these have previously been studied in connection with boundary correlation functions. We show that boundary…

High Energy Physics - Theory · Physics 2020-09-02 Alex May , Geoff Penington , Jonathan Sorce

In the context of asymptotic $2$-to-$2$ scattering process in AdS/CFT, the Connected Wedge Theorem identifies the existence of $O(1/G_N)$ mutual information between suitable boundary subregions, referred to as decision regions, as a…

High Energy Physics - Theory · Physics 2026-01-09 Bowen Zhao

Causal shadows are bulk space-time regions between the entanglement wedges and the causal wedges, their existence encodes deep aspects of the entanglement wedge reconstruction in the context of subregion duality in AdS/CFT. In this paper,…

High Energy Physics - Theory · Physics 2023-02-17 Liangyu Chen , Huajia Wang

The locality of bulk physics at distances below the AdS length is one of the remarkable aspects of AdS/CFT duality, and one of the least tested. It requires that the AdS radius be large compared to the Planck length and the string length.…

High Energy Physics - Theory · Physics 2009-11-13 Idse Heemskerk , Joao Penedones , Joseph Polchinski , James Sully

Subregion duality in AdS/CFT implies certain constraints on the geometry: entanglement wedges must contain causal wedges, and nested boundary regions must have nested entanglement wedges. We elucidate the logical connections between these…

High Energy Physics - Theory · Physics 2016-11-18 Chris Akers , Jason Koeller , Stefan Leichenauer , Adam Levine

We define a new construct in quantum field theory - the causal density matrix - obtained from the singularity structure of correlators of local operators. This object provides a necessary and sufficient condition for a quantum field theory…

High Energy Physics - Theory · Physics 2017-07-05 Netta Engelhardt , Sebastian Fischetti

We discuss dilatonic gravity (bulk theory) from the point of view of (generalized) AdS/CFT correspondence. Self-consistent dilatonic background is considered. It may be understood as two boundaries space where AdS boundary appears as…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

In the perturbative AdS-CFT correspondence, the dual field whose source are the prescribed boundary values of a bulk field in the functional integral, and the boundary limit of the quantized bulk field are the same thing. This statement is…

High Energy Physics - Theory · Physics 2008-11-26 M. Duetsch , K. -H. Rehren

Private inference refers to a two-party setting in which one has a model (e.g., a linear classifier), the other has data, and the model is to be applied over the data while safeguarding the privacy of both parties. In particular, models in…

Information Theory · Computer Science 2023-05-09 Zirui Deng , Netanel Raviv

The connected wedge theorem states that in order to have a scattering process in the bulk, it is necessary to have $O(1/G_N)$ mutual information between certain "decision" regions in the boundary theory. While this large mutual information…

High Energy Physics - Theory · Physics 2026-01-15 Jacqueline Caminiti , Caroline Lima , Robert C. Myers

The AdS/CFT correspondence relates quantum entanglement between boundary Conformal Field Theories and geometric connections in the dual asymptotically Anti-de Sitter space-time. We consider entangled states in the n-fold tensor product of a…

High Energy Physics - Theory · Physics 2016-04-05 Vijay Balasubramanian , Patrick Hayden , Alexander Maloney , Donald Marolf , Simon F. Ross

In holographic duality an eternal AdS black hole is described by two copies of the boundary CFT in the thermal field double state. This identification has many puzzles, including the boundary descriptions of the event horizons, the…

High Energy Physics - Theory · Physics 2023-11-13 Samuel Leutheusser , Hong Liu

Holographic CFTs admit a dual emergent description in terms of semiclassical general relativity minimally coupled to matter fields. While the gravitational interactions are required to be suppressed by the Planck scale, the matter sector is…

High Energy Physics - Theory · Physics 2025-12-03 Luis Apolo , Alexandre Belin , Suzanne Bintanja

It is a long-standing conjecture that any CFT with a large central charge and a large gap $\Delta_{\text{gap}}$ in the spectrum of higher-spin single-trace operators must be dual to a local effective field theory in AdS. We prove a sharp…

High Energy Physics - Theory · Physics 2021-12-08 Simon Caron-Huot , Dalimil Mazac , Leonardo Rastelli , David Simmons-Duffin

Quantum mechanics is not the unique no-signaling theory which is endowed with stronger-than-classical correlations, and there exists a broad class of no-signaling theories allowing even stronger-than-quantum correlations. The principle of…

Quantum Physics · Physics 2023-07-07 Yang Xiang , Wei Ren

$AdS$ plane wave backgrounds are dual to CFT excited states with energy momentum density $T_{++}=Q$. Building on previous work on entanglement entropy in these and nonconformal brane plane wave backgrounds, we first describe a…

High Energy Physics - Theory · Physics 2014-07-23 Debangshu Mukherjee , K. Narayan

If two parties share sufficient entanglement, they are able to implement any channel on a shared bipartite state via non-local quantum computation -- a protocol consisting of local operations and a single simultaneous round of quantum…

Quantum Physics · Physics 2022-10-26 Kfir Dolev , Sam Cree

Causal holographic information [1] is a variant of the Ryu-Takayanagi proposal for the entanglement entropy of a spatial region in the context of AdS/CFT, but with the bulk surface defined by causality rather than extremality. We…

High Energy Physics - Theory · Physics 2014-12-18 Ben Freivogel , Benjamin Mosk
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