On the Completely Separable State for the Lohe Tensor Model

2021 ◽  
Vol 183 (1) ◽  
Author(s):  
Seung-Yeal Ha ◽  
Dohyun Kim ◽  
Hansol Park
Keyword(s):  
Tensor Model ◽  
Separable State

scholarly journals W-representation of Rainbow tensor model

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Bei Kang ◽  
Lu-Yao Wang ◽  
Ke Wu ◽  
Jie Yang ◽  
Wei-Zhong Zhao
Keyword(s):  
Partition Function ◽  
Matrix Model ◽  
Crucial Role ◽  
Elementary Function ◽  
Tensor Model ◽  
Witt Algebra ◽  
Virasoro Constraints ◽  
Compact Expression ◽  
Non Gaussian ◽  
Dual Expression

Abstract We analyze the rainbow tensor model and present the Virasoro constraints, where the constraint operators obey the Witt algebra and null 3-algebra. We generalize the method of W-representation in matrix model to the rainbow tensor model, where the operators preserving and increasing the grading play a crucial role. It is shown that the rainbow tensor model can be realized by acting on elementary function with exponent of the operator increasing the grading. We derive the compact expression of correlators and apply it to several models, i.e., the red tensor model, Aristotelian tensor model and r = 4 rainbow tensor model. Furthermore, we discuss the case of the non-Gaussian red tensor model and present a dual expression for partition function through differentiation.

scholarly journals Mother canonical tensor model

2017 ◽  
Vol 34 (14) ◽  
pp. 145009 ◽  
Author(s):  
Gaurav Narain ◽  
Naoki Sasakura
Keyword(s):  
Tensor Model

scholarly journals Geometrically constrained two-tensor model for crossing tracts in DWI

2006 ◽  
Vol 24 (9) ◽  
pp. 1263-1270 ◽  
Author(s):  
Sharon Peled ◽  
Ola Friman ◽  
Ferenc Jolesz ◽  
Carl-Fredrik Westin
Keyword(s):  
Tensor Model ◽  
Geometrically Constrained

A matrix realignment method for recognizing entanglement

2003 ◽  
Vol 3 (3) ◽  
pp. 193-202
Author(s):  
K. Chen ◽  
L.-A. Wu
Keyword(s):  
Kronecker Product ◽  
Singular Values ◽  
Quantum Systems ◽  
Entangled States ◽  
Approximation Technique ◽  
Separable State ◽  
Simple Method ◽  
Bipartite Quantum Systems ◽  
The Matrix ◽  
Degree Of Entanglement

Motivated by the Kronecker product approximation technique, we have developed a very simple method to assess the inseparability of bipartite quantum systems, which is based on a realigned matrix constructed from the density matrix. For any separable state, the sum of the singular values of the matrix should be less than or equal to $1$. This condition provides a very simple, computable necessary criterion for separability, and shows powerful ability to identify most bound entangled states discussed in the literature. As a byproduct of the criterion, we give an estimate for the degree of entanglement of the quantum state.

scholarly journals Infrared Patch-Tensor Model With Weighted Tensor Nuclear Norm for Small Target Detection in a Single Frame

IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 76140-76152 ◽  
Author(s):  
Yang Sun ◽  
Jungang Yang ◽  
Yunli Long ◽  
Zheran Shang ◽  
Wei An
Keyword(s):  
Target Detection ◽  
Nuclear Norm ◽  
Tensor Model ◽  
Small Target ◽  
Small Target Detection ◽  
Single Frame ◽  
Tensor Nuclear Norm

scholarly journals A generalised structure tensor model for the mixed invariant I8

2018 ◽  
Vol 107 ◽  
pp. 137-148 ◽  
Author(s):  
Andrey V. Melnik ◽  
Xiaoyu Luo ◽  
Ray W. Ogden
Keyword(s):  
Structure Tensor ◽  
Tensor Model

scholarly journals A Low-Rank Tensor Model for Hyperspectral Image Sparse Noise Removal

IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 62120-62127 ◽  
Author(s):  
Lizhen Deng ◽  
Hu Zhu ◽  
Yujie Li ◽  
Zhen Yang
Keyword(s):  
Hyperspectral Image ◽  
Noise Removal ◽  
Low Rank ◽  
Tensor Model ◽  
Rank Tensor
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