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Under white light illumination, gratings produce an angular distribution of wavelengths dependent on the diffraction order and geometric parameters. However, previous studies of gratings are limited to at least one geometric parameter…

The multipartite entanglement structure for the ground states of two dimensional topological phases is an interesting albeit not well understood question. Utilizing the bulk-boundary correspondence, the calculation of tripartite…

Strongly Correlated Electrons · Physics 2024-05-15 Yuhan Liu , Yuya Kusuki , Jonah Kudler-Flam , Ramanjit Sohal , Shinsei Ryu

This paper investigates the entanglement entropy inequality and explores the presentation of mutual information and conditional mutual information in kinematic space. Specifically, we examine the regions within kinematic space responsible…

High Energy Physics - Theory · Physics 2023-05-26 An Gong , Chong-Bin Chen , Fu-Wen Shu

With the complexity of information tasks, the bipartite and tripartite entanglement can no longer meet our needs, and we need more entangled particles to process relativistic quantum information. In this paper, we study the genuine…

Quantum Physics · Physics 2022-05-10 Shu-Min Wu , Yu-Tong Cai , Wen-Jing Peng , Hao-Sheng Zeng

We argue that holographic CFT states require a large amount of tripartite entanglement, in contrast to the conjecture that their entanglement is mostly bipartite. Our evidence is that this mostly-bipartite conjecture is in sharp conflict…

High Energy Physics - Theory · Physics 2020-05-20 Chris Akers , Pratik Rath

We explore ways to quantify multipartite correlations, in quantum information and in holography. We focus on optimized correlation measures, linear combinations of entropies minimized over all possible purifications of a state that satisfy…

High Energy Physics - Theory · Physics 2020-09-16 Oliver DeWolfe , Joshua Levin , Graeme Smith

Holographic duality describes gravitational theories in terms of quantum many-body systems. In holography, quantum information theory provides a crucial tool that directly connects microscopic structures of these systems to the geometries…

High Energy Physics - Theory · Physics 2025-06-24 Tadashi Takayanagi

We analyze correlations between subsystems for an extended Hubbard model exactly solvable in one dimension, which exhibits a rich structure of quantum phase transitions (QPTs). The T=0 phase diagram is exactly reproduced by studying…

Strongly Correlated Electrons · Physics 2009-11-11 Alberto Anfossi , Paolo Giorda , Arianna Montorsi , Fabio Traversa

We propose a covariant holographic conjecture for the entanglement negativity of mixed states in bipartite systems described by $d$-dimensional conformal field theories dual to bulk non static $AdS_{d+1}$ configurations. Application of our…

High Energy Physics - Theory · Physics 2022-08-31 Pankaj Chaturvedi , Vinay Malvimat , Gautam Sengupta

Scalar solitons in global AdS4 are holographically dual to coherent states carrying a non-trivial condensate of a scalar operator. We study the holographic information content of these states, focusing on a particular spatial region, by…

High Energy Physics - Theory · Physics 2016-08-11 Simon A. Gentle , Mukund Rangamani

In this work, we consider an upper bound for the quantum mutual information in thermal states of a bipartite quantum system. This bound is related with the interaction energy and logarithm of the partition function of the system. We…

Quantum Physics · Physics 2015-03-20 Aleksey Fedorov , Evgeny Kiktenko

Recent developments have exposed close connections between quantum information and holography. In this paper, we explore the geometrical interpretations of the recently introduced $Q$-correlation and $R$-correlation, $E_Q$ and $E_R$. We…

High Energy Physics - Theory · Physics 2020-02-19 Joshua Levin , Oliver DeWolfe , Graeme Smith

A Holevo measure is used to discuss how much information about a given POVM on system $a$ is present in another system $b$, and how this influences the presence or absence of information about a different POVM on $a$ in a third system $c$.…

Quantum Physics · Physics 2013-05-29 Patrick J. Coles , Li Yu , Vlad Gheorghiu , Robert B. Griffiths

Spatial field correlation functions represent a key quantity for the description of mesoscopic phenomena in disordered media and the optical characterization of complex materials. Yet many aspects related to the vector nature of light waves…

Optics · Physics 2014-02-03 Kevin Vynck , Romain Pierrat , Rémi Carminati

Reinforcement Learning (RL) environments can produce training data with spurious correlations between features due to the amount of training data or its limited feature coverage. This can lead to RL agents encoding these misleading…

Machine Learning · Computer Science 2023-10-13 Mhairi Dunion , Trevor McInroe , Kevin Sebastian Luck , Josiah P. Hanna , Stefano V. Albrecht

Topological phases of quantum matter defy characterization by conventional order parameters but can exhibit quantized electro-magnetic response and/or protected surface states. We examine such phenomena in a model for three-dimensional…

Strongly Correlated Electrons · Physics 2012-10-03 Ara Go , William Witczak-Krempa , Gun Sang Jeon , Kwon Park , Yong Baek Kim

We use holographic methods to characterize the RG flow of quantum information in a Chern-Simons theory coupled to massive fermions. First, we use entanglement entropy and mutual information between strips to derive the dimension of the…

High Energy Physics - Theory · Physics 2019-02-20 Vijay Balasubramanian , Niko Jokela , Arttu Pönni , Alfonso V. Ramallo

Let $V$ be a degree $d$, reduced hypersurface in $\mathbb{CP}^{n+1}$, $n \geq 1$, and fix a generic hyperplane, $H$. Denote by $\mathcal{U}$ the (affine) hypersurface complement, $\mathbb{CP}^{n+1}- V \cup H$, and let $\mathcal{U}^c$ be the…

Algebraic Topology · Mathematics 2012-04-03 Laurentiu Maxim

Gapped two-dimensional topological phases can feature ungappable edge states which are robust even in the absence of protecting symmetries. In this work we show that a multipartite entanglement measure recently proposed in the context of…

Quantum Physics · Physics 2022-07-20 Karthik Siva , Yijian Zou , Tomohiro Soejima , Roger S. K. Mong , Michael P. Zaletel

We witness multipartite entanglement in the Kitaev chain -- a benchmark model of one dimensional topological insulator -- also with variable-range pairing, using the quantum Fisher information. Phases having a finite winding number, both…

Quantum Physics · Physics 2017-12-27 Luca Pezzè , Marco Gabbrielli , Luca Lepori , Augusto Smerzi