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Genuine multipartite entanglement is crucial for quantum information and related technologies but quantifying it has been a long-standing challenge. Most proposed measures do not meet the ``genuine'' requirement, making them unsuitable for…

Quantum Physics · Physics 2024-06-25 Songbo Xie , Daniel Younis , Yuhan Mei , Joseph H. Eberly

Holography has emerged as a vital approach to fully engineer the wavefronts of light since its invention dating back to the last century. However, the typically large pixel size, small field of view and limited space-bandwidth impose…

Optics · Physics 2019-03-26 Lingling Huang , Shuang Zhang , Thomas Zentgraf

We study certain features of scaling behaviors of the mutual information during a process of thermalization, more precisely we extend the time scaling behavior of mutual information which has been discussed in \cite{Alishahiha:2014jxa} to…

High Energy Physics - Theory · Physics 2016-05-04 Mohammad Reza Tanhayi

Mutual information has many applications in image alignment and matching, mainly due to its ability to measure the statistical dependence between two images, even if the two images are from different modalities (e.g., CT and MRI). It…

Computer Vision and Pattern Recognition · Computer Science 2024-07-11 Jiecheng Liao , Junhao Lu , Jeff Ji , Jiacheng He

We study a differential geometric construction, the warped product, on the background geometry for information theory. Divergences, dual structures and symmetric 3-tensor are studied under this construction, and we show that warped product…

Differential Geometry · Mathematics 2024-10-28 Nicolás Martínez Alba , Olga Garatejo Escobar

The previously described methodology for hierarchical grouping of objects through iterative averaging has been used for simulation of cooperative interactions between objects of a system with the purpose of investigation of the…

Other Computer Science · Computer Science 2008-06-10 Leonid Andreev

Influence of the transverse uniform magnetic field $\bf B$ on position (subscript $\rho$) and momentum ($\gamma$) Shannon quantum-information entropies $S_{\rho,\gamma}$, Fisher informations $I_{\rho,\gamma}$ and informational energies…

Quantum Physics · Physics 2023-07-13 H. Shafeekali , O. Olendski

Three-dimensional theories with cubic symmetry are studied using the machinery of the numerical conformal bootstrap. Crossing symmetry and unitarity are imposed on a set of mixed correlators, and various aspects of the parameter space are…

High Energy Physics - Theory · Physics 2019-04-03 Stefanos R. Kousvos , Andreas Stergiou

The Markov gap, defined as the difference between reflected entropy and mutual information, serves as a diagnostic for quantum recoverability and multipartite entanglement. In holographic settings, it admits a geometric interpretation as…

High Energy Physics - Theory · Physics 2025-10-09 Norihiro Iizuka , Akihiro Miyata , Mitsuhiro Nishida

The principle of the holography of information states that in a theory of quantum gravity a copy of all the information available on a Cauchy slice is also available near the boundary of the Cauchy slice. This redundancy in the theory is…

High Energy Physics - Theory · Physics 2023-01-04 Robert de Mello Koch , Garreth Kemp

We study the holographic dual of two-point correlation functions for nonconformal field theories. We first take into account a Lifshitz geometry as the dual of a Lifshitz field theory which may appear at a critical or IR fixed point. We…

High Energy Physics - Theory · Physics 2023-06-14 Chanyong Park

We investigate the orientation dependence of high-order harmonic generation (HHG) from H$_2^+$ with different internuclear distances irradiated by intense laser fields both numerically and analytically. The calculated molecular HHG spectra…

Atomic Physics · Physics 2009-11-13 Yanjun Chen , Jie Liu , Bambi Hu

In this paper, we consider holomorphic mappings between real hypersurfaces in different dimensional complex spaces. We give a number of conditions that imply that such mappings are transversal to the target hypersurface at most points.

Complex Variables · Mathematics 2007-05-23 M. S. Baouendi , Peter Ebenfelt , Linda P. Rothschild

Mechanically reconfigurable metasurfaces capable of translation, rotation, and permutation have attracted considerable attention for high-capacity optical information storage and full-color holographic displays, owing to their low-power and…

Optics · Physics 2025-11-18 Ting Ma , Xianjin Liu , Qiwen Bao , Bolun Zhang , Jun-Jun Xiao

We study the effect of spatial inhomogeneity on quantum information scrambling, a process of spreading and locally hiding quantum information in quantum many-body systems. As a paradigmatic example, we consider the quantum chaotic Ising…

Quantum Physics · Physics 2023-05-03 Kanato Goto , Taozhi Guo , Tomoki Nosaka , Masahiro Nozaki , Shinsei Ryu , Kotaro Tamaoka

The restrictions that nature places on the distribution of correlations in a multipartite quantum system play fundamental roles in the evolution of such systems, and yield vital insights into the design of protocols for the quantum control…

Quantum Physics · Physics 2007-05-23 Tracey E. Tessier

We extend our studies of holographic entropy inequalities to gapped phases of matter. For any number of regions, we determine the linear entropy inequalities satisfied by systems in which the entanglement entropy satisfies an exact area…

High Energy Physics - Theory · Physics 2015-10-02 Ning Bao , ChunJun Cao , Michael Walter , Zitao Wang

In this article, we investigate the entanglement structure of bipartite mixed states in (1+1)-dimensional boundary conformal field theories (BCFT$_2$s) through the odd entanglement entropy (OEE) by employing an appropriate replica…

High Energy Physics - Theory · Physics 2023-10-18 Anjali Kumari , Vinayak Raj , Gautam Sengupta

The mutual information is a measure of classical and quantum correlations of great interest in quantum information. It is also relevant in quantum many-body physics, by virtue of satisfying an area law for thermal states and bounding all…

Quantum Physics · Physics 2021-09-15 Samuel O. Scalet , Álvaro M. Alhambra , Georgios Styliaris , J. Ignacio Cirac

Incorporating geometric transformations that reflect the relative position changes between an observer and an object into computer vision and deep learning models has attracted much attention in recent years. However, the existing proposals…

Computer Vision and Pattern Recognition · Computer Science 2022-11-01 Nishan Khatri , Agnibh Dasgupta , Yucong Shen , Xin Zhong , Frank Y. Shih
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