scholarly journals Non-local probes of entanglement in the scale-invariant gravity

2021 ◽  
Vol 18 (12) ◽  
Author(s):  
R. Pirmoradian ◽  
M. Reza Tanhayi
Keyword(s):  
Mutual Information ◽  
Invariant Theory ◽  
Entanglement Entropy ◽  
Scale Invariant ◽  
Non Local ◽  
Theory Of Gravity

In this paper, we study the generic action for the scale-invariant theory of gravity and then by making use of the holographic methods, we compute some specific holographic measures of entanglement. Precisely, we calculate the entanglement entropy, mutual and tripartite information and show that the mutual information is always positive while the tripartite information becomes negative. This indeed recovers the monogamy property of mutual information in this context.

Scale-Invariant Theory of Optical Properties of Fractal Clusters

1990 ◽  
Author(s):  
Vadim A. Markel ◽  
Leonid S. Muratov ◽  
Mark I. Stockman ◽  
Thomas F. George
Keyword(s):  
Optical Properties ◽  
Invariant Theory ◽  
Scale Invariant ◽  
Fractal Clusters

scholarly journals Target space entanglement in quantum mechanics of fermions and matrices

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Sotaro Sugishita
Keyword(s):  
Mutual Information ◽  
Ground State ◽  
Entanglement Entropy ◽  
Algebraic Approach ◽  
Upper Bounds ◽  
Wave Functions ◽  
Target Space ◽  
Single Interval ◽  
Area Law ◽  
Formula Expression

Abstract We consider entanglement of first-quantized identical particles by adopting an algebraic approach. In particular, we investigate fermions whose wave functions are given by the Slater determinants, as for singlet sectors of one-matrix models. We show that the upper bounds of the general Rényi entropies are N log 2 for N particles or an N × N matrix. We compute the target space entanglement entropy and the mutual information in a free one-matrix model. We confirm the area law: the single-interval entropy for the ground state scales as $$ \frac{1}{3} $$ 1 3 log N in the large N model. We obtain an analytical $$ \mathcal{O}\left({N}^0\right) $$ O N 0 expression of the mutual information for two intervals in the large N expansion.

Enhanced Raman scattering by fractal clusters: Scale-invariant theory

1992 ◽  
Vol 46 (5) ◽  
pp. 2821-2830 ◽  
Author(s):  
Mark I. Stockman ◽  
Vladimir M. Shalaev ◽  
Martin Moskovits ◽  
Robert Botet ◽  
Thomas F. George
Keyword(s):  
Raman Scattering ◽  
Invariant Theory ◽  
Scale Invariant ◽  
Fractal Clusters ◽  
Enhanced Raman Scattering

scholarly journals Solution to the hierarchy problem from an almost decoupled hidden sector within a classically scale invariant theory

2008 ◽  
Vol 77 (3) ◽  
Author(s):  
Robert Foot ◽  
Archil Kobakhidze ◽  
Kristian L. McDonald ◽  
Raymond R. Volkas
Keyword(s):  
Invariant Theory ◽  
Hierarchy Problem ◽  
Scale Invariant ◽  
Hidden Sector

scholarly journals Recognition of Dorsal Hand Vein Based Bit Planes and Block Mutual Information

Sensors ◽  
2019 ◽  
Vol 19 (17) ◽  
pp. 3718 ◽  
Author(s):  
Yiding Wang ◽  
Heng Cao ◽  
Xiaochen Jiang ◽  
Yuanyan Tang
Keyword(s):  
Mutual Information ◽  
Recognition Rate ◽  
Scale Invariant ◽  
Dorsal Hand ◽  
Hand Vein ◽  
Bit Plane ◽  
Vein Recognition ◽  
Dorsal Hand Vein ◽  
Bit Planes ◽  
Dorsal Hand Vein Recognition

The dorsal hand vein images captured by cross-device may have great differences in brightness, displacement, rotation angle and size. These deviations must influence greatly the results of dorsal hand vein recognition. To solve these problems, the method of dorsal hand vein recognition was put forward based on bit plane and block mutual information in this paper. Firstly, the input gray image of dorsal hand vein was converted to eight-bit planes to overcome the interference of brightness inside the higher bit planes and the interference of noise inside the lower bit planes. Secondly, the texture of each bit plane of dorsal hand vein was described by a block method and the mutual information between blocks was calculated as texture features by three kinds of modes to solve the problem of rotation and size. Finally, the experiments cross-device were carried out. One device was used to be registered, the other was used to recognize. Compared with the SIFT (Scale-invariant feature transform, SIFT) algorithm, the new algorithm can increase the recognition rate of dorsal hand vein from 86.60% to 93.33%.

scholarly journals A field theory study of entanglement wedge cross section: odd entropy

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Ali Mollabashi ◽  
Kotaro Tamaoka
Keyword(s):  
Cross Section ◽  
Entanglement Entropy ◽  
Quantum Correlations ◽  
Von Neumann Entropy ◽  
Mixed States ◽  
Scale Invariant ◽  
Gaussian States ◽  
Von Neumann ◽  
Free Scalar ◽  
The Difference

Abstract We study odd entanglement entropy (odd entropy in short), a candidate of measure for mixed states holographically dual to the entanglement wedge cross section, in two-dimensional free scalar field theories. Our study is restricted to Gaussian states of scale-invariant theories as well as their finite temperature generalizations, for which we show that odd entropy is a well-defined measure for mixed states. Motivated from holographic results, the difference between odd and von Neumann entropy is also studied. In particular, we show that large amounts of quantum correlations ensure the odd entropy to be larger than von Neumann entropy, which is qualitatively consistent with the holographic CFT. In general cases, we also find that this difference is not even a monotonic function with respect to size of (and distance between) subsystems.

AN ADS-INVARIANT THEORY OF GRAVITY IN ANY DIMENSION

2006 ◽  
Author(s):  
PATRICIO SALGADO ◽  
FERNANDO IZAURIETA ◽  
EDUARDO RODRÍGUEZ
Keyword(s):  
Invariant Theory ◽  
Theory Of Gravity
Sign in / Sign up

Export Citation Format

Share Document