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Related papers: Holographic Purification Complexity

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To analyze the holographic multipartite entanglement structure, we study the upper bound for holographic $n$-partite information $(-1)^n I_n$ that $n-1$ fixed boundary subregions participate together with an arbitrary region $E$. In general…

High Energy Physics - Theory · Physics 2024-11-13 Xin-Xiang Ju , Wen-Bin Pan , Ya-Wen Sun , Yang Zhao

We study the "complexity equals volume" (CV) and "complexity equals action" (CA) conjectures by examining moments of of time symmetry for $\rm AdS_3$ wormholes having $n$ asymptotic regions and arbitrary (orientable) internal topology. For…

High Energy Physics - Theory · Physics 2018-02-15 Zicao Fu , Alexander Maloney , Donald Marolf , Henry Maxfield , Zhencheng Wang

We investigate entanglement of purification in conformal field theory. By using Reeh-Schlieder theorem, we construct a set of the purification states for $\rho_{AB}$, where $\rho_{AB}$ is reduced density matrix for subregion $AB$ of a…

High Energy Physics - Theory · Physics 2019-09-18 Wu-zhong Guo

We adapt the complexity as action prescription (CA) to a semi-classical model of two-dimensional dilaton gravity and determine the rate of increase of holographic complexity for an evaporating black hole. The results are consistent with our…

High Energy Physics - Theory · Physics 2020-08-26 Lukas Schneiderbauer , Watse Sybesma , Lárus Thorlacius

Motivated by the pseudo-entropy program, we study timelike subregion complexity within the holographic Complexity-equal-Volume framework, extending previous spatial constructions to Lorentzian boundary intervals. For hyperbolic timelike…

High Energy Physics - Theory · Physics 2026-02-06 Mohsen Alishahiha

We compute the holographic subregion complexity of a radiation subsystem in a geometric secret-sharing model of Hawking radiation in the "complexity = volume" proposal. The model is constructed using multiboundary wormhole geometries in…

High Energy Physics - Theory · Physics 2021-12-15 Aranya Bhattacharya , Arpan Bhattacharyya , Pratik Nandy , Ayan K. Patra

Holographic complexity, as the bulk dual of quantum complexity, encodes the geometric structure of black hole interiors. Motivated by the complexity=anything proposal, we introduce the spectral representation for generating functions…

High Energy Physics - Theory · Physics 2026-04-21 Masamichi Miyaji , Shan-Ming Ruan , Shono Shibuya , Kazuyoshi Yano

An important conjecture within the AdS/CFT correspondence relates holographic spacetime to the quantum computational complexity of the dual quantum field theory. However, the quantitative understanding of this relation is still an open…

High Energy Physics - Theory · Physics 2022-12-02 Johanna Erdmenger , Marius Gerbershagen , Michal P. Heller , Anna-Lena Weigel

A novel inequality was proposed in \cite{Balasubramanian:2025hxg} for tripartite holographic states, using which it was argued, that purely GHZ-like tripartite entanglement is not allowed in holography. In this short note, we generalize…

High Energy Physics - Theory · Physics 2026-05-28 Joydeep Naskar

Quantum information theory along with holography play central roles in our understanding of quantum gravity. Exploring their connections will lead to profound impacts on our understanding of the modern physics and is thus a key challenge…

High Energy Physics - Theory · Physics 2022-03-18 Wen-Cong Gan , Fu-Wen Shu

In holographic duality, a higher dimensional quantum gravity system emerges from a lower dimensional conformal field theory (CFT) with a large number of degrees of freedom. We propose a formulation of duality for a general causally complete…

High Energy Physics - Theory · Physics 2024-11-15 Samuel Leutheusser , Hong Liu

The limitations of the approach based on using fields restricted to the lightfront (Lightfront Quantization or p$\to \infty $ Frame Approach) which drive quantum fields towards canonical and ultimately free fields are well known. Here we…

High Energy Physics - Theory · Physics 2017-08-23 Bert Schroer

We study a holographic theory of general spacetimes that does not rely on the existence of asymptotic regions. This theory is to be formulated in a holographic space. When a semiclassical description is applicable, the holographic space is…

High Energy Physics - Theory · Physics 2017-04-12 Yasunori Nomura , Nico Salzetta , Fabio Sanches , Sean J. Weinberg

Following Hawking, it is usual to mimic the effect of collapse space-time geometry on quantum fields in a semi-classical approximation by imposing suitable boundary conditions at the origin of coordinates, which effectively becomes a moving…

High Energy Physics - Theory · Physics 2007-05-23 Frank Wilczek

In cosmic holography, the fundamental quantity is the degrees of freedom on a horizon surface rather than the material contents within the volume. That is, the horizon area and hence cosmological expansion rate H is related to the entropy.…

High Energy Physics - Theory · Physics 2007-05-23 Eric V. Linder

We construct a time-dependent expression of the computational complexity of a quantum system which consists of two conformal complex scalar field theories in d dimensions coupled to constant electric potentials and defined on the boundaries…

High Energy Physics - Theory · Physics 2019-05-29 Musema Sinamuli , Robert B. Mann

We employ holography to calculate the quantum complexity of $T\bar{T}$-deformation, utilizing the complexity equals volume (CV) and the complexity equals action (CA) proposals within the bulk spacetime with a finite radius cutoff. We find…

High Energy Physics - Theory · Physics 2024-10-14 Amin Faraji Astaneh

Nanostructured surfaces usually exhibit complicated morphologies that cannot be described in terms of Euclidean geometry. Simultaneously, they do not constitute fully random noise fields to be characterized by simple stochastics and…

Mesoscale and Nanoscale Physics · Physics 2022-02-03 A. Arapis , V. Constantoudis , D. Kontziampasis , A. Milionis , C. W. E. Lam , A. Tripathy , D. Poulikakos , E. Gogolides

Topological holography is a holographic principle that describes the generalized global symmetry of a local quantum system in terms of a topological order in one higher dimension. This framework separates the topological data from the local…

Strongly Correlated Electrons · Physics 2025-07-02 Sheng-Jie Huang , Meng Cheng

The holographic duals of Entanglement of Purification through the Entanglement Wedge Cross Section has been a well-discussed topic in the literature recently. More general entanglement measures involving multipartite information and their…

High Energy Physics - Theory · Physics 2020-08-26 Aranya Bhattacharya