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Related papers: Tripartite information at long distances

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The mutual information, $I_2$, of general spacetime regions is expected to capture the full data of any conformal field theory (CFT). For spherical regions, this data can be accessed from long-distance expansions of the mutual information…

High Energy Physics - Theory · Physics 2024-09-09 César A. Agón , Pablo Bueno , Guido van der Velde

In this work, we study the universal behaviors in the mutual information of two disjoint spheres in a conformal field theory(CFT). By using the operator product expansion of the spherical twist operator in terms of the conformal family, we…

High Energy Physics - Theory · Physics 2017-08-02 Bin Chen , Lin Chen , Peng-xiang Hao , Jiang Long

Holographic mutual and tripartite information have been studied in a non-conformal background. We have investigated how these observables behave as the energy scale and number of degrees of freedom vary. We have found out that the effect of…

High Energy Physics - Theory · Physics 2020-01-22 M. Ali-Akbari , M. Asadi , M. Rahimi

We compute the next-to-leading order term in the long-distance expansion of the mutual information for free scalars in three space-time dimensions. The geometry considered is two disjoint disks separated by a distance $r$ between their…

High Energy Physics - Theory · Physics 2016-12-21 Cesar A. Agón , Isaac Cohen-Abbo , Howard J. Schnitzer

We present several new results for the $N$-partite information, $I_N$, of spatial regions in the ground state of $d$-dimensional conformal field theories. First, we show that $I_N$ can be written in terms of a single $N$-point function of…

High Energy Physics - Theory · Physics 2023-04-19 César A. Agón , Pablo Bueno , Oscar Lasso Andino , Alejandro Vilar López

The mutual and tripartite information between pairs and triples of disjoint regions in a quantum field theory are sensitive probes of the spread of correlations in an equilibrating system. We compute these quantities in strongly coupled…

High Energy Physics - Theory · Physics 2011-12-05 V. Balasubramanian , A. Bernamonti , N. Copland , B. Craps , F. Galli

We study the time evolution of holographic mutual and tripartite information for a zero temperature $CFT$, derives to a non-relativistic thermal Lifshitz field theory by a quantum quench. We observe that the symmetry breaking does not play…

High Energy Physics - Theory · Physics 2018-09-12 M. Asadi , M. Ali-Akbari

We investigate the delocalization of quantum information in the nonequilibrium dynamics of the $XY$ spin chain with asymptotically decaying interactions $\sim 1/r^{\alpha}$. As a figure of merit, we employ the tripartite mutual information…

Quantum Physics · Physics 2021-10-20 Darvin Wanisch , Stephan Fritzsche

The tripartite information is an observable-independent measure for scrambling and delocalization of information. Therefore one can expect that the tripartite information is a good observable-independent indicator for distinguishing between…

Disordered Systems and Neural Networks · Physics 2022-03-10 Niklas Bölter , Stefan Kehrein

Molecular communication often involves coexisting links where certain links may have priority over others. In this work, we consider a system in three-dimensional (3-D) space with two coexisting communication links, each between a point…

Information Theory · Computer Science 2021-02-12 Nithin V. Sabu , Neeraj Varshney , Abhishek K. Gupta

A key notion in heavy-fermion systems is the entanglement between conduction electrons and localized spin degrees of freedom. To study these systems from this point of view, we compute the mutual information in a ferromagnetic and…

Strongly Correlated Electrons · Physics 2019-05-03 Francesco Parisen Toldin , Toshihiro Sato , Fakher F. Assaad

We investigate the dynamics of information among the parties of tripartite systems. We start by proving two results concerning the monogamy of mutual information. The first one states that mutual information is monogamous for generic…

Quantum Physics · Physics 2014-07-24 A. C. S. Costa , R. M. Angelo , M. W. Beims

Non-classical features of quantum systems have the potential to strengthen the way we currently exchange information. In this paper, we explore this enhancement on the most basic level of single particles. To be more precise, we compare how…

Quantum Physics · Physics 2024-09-25 Xinan Chen , Yujie Zhang , Andreas Winter , Virginia O. Lorenz , Eric Chitambar

The mutual information $I(A,B)$ of pairs of spatially separated regions satisfies, for any $d$-dimensional CFT, a set of structural physical properties such as positivity, monotonicity, clustering, or Poincar\'e invariance, among others. If…

High Energy Physics - Theory · Physics 2021-09-15 César A. Agón , Pablo Bueno , Horacio Casini

Mutual information serves as an important measure of correlation between subsystem components. In the framework of quantum field theories (QFTs) they have better regulated UV behavior than entanglement entropy, and thus provide more direct…

High Energy Physics - Theory · Physics 2022-10-21 Liangyu Chen , Huajia Wang

Building on previous developments of a harmonic decomposition framework for computing the three-point correlation function (3PCF) of projected scalar fields over the sky, this work investigates how much cosmological information is contained…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-16 Sofia Samario-Nava , Alejandro Aviles , Juan Carlos Hidalgo

For a given real number $\alpha$, let us place the fractional parts of the points $0, \alpha, 2 \alpha,$ $ \cdots, (N-1) \alpha$ on the unit circle. These points partition the unit circle into intervals having at most three lengths, one…

Number Theory · Mathematics 2018-06-08 Valérie Berthé , Dong Han Kim

Mutual information I in infinite sequences (and in their finite prefixes) is essential in theoretical analysis of many situations. Yet its right definition has been elusive for a long time. I address it by generalizing Kolmogorov Complexity…

Computational Complexity · Computer Science 2021-08-03 Leonid A. Levin

We introduce a geometric scaling relation that characterizes the local scale behavior of correlations using the informational distance $d_E = K_0/\sqrt{I}$, where $I$ is the mutual information. We define a geometric conversion factor, $G…

Statistical Mechanics · Physics 2025-12-02 Beau Leighton-Trudel

The dynamics of tripartite entanglement of fermionic system in noninertial frames through linear contraction criterion when one or two observers are accelerated is investigated. In one observer accelerated case the entanglement measurement…

Quantum Physics · Physics 2016-12-09 Salman Khan
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