A Class of Bistochastic Positive Optimal Maps in Md(ℂ)-Reference-Cited by-同舟云学术

A Class of Bistochastic Positive Optimal Maps in Md(ℂ)

Published:2015-09 Issue:03 Volume:22 Page:1550016
ISSN:1230-1612
Container-title:Open Systems & Information Dynamics
language:en
Short-container-title:Open Syst. Inf. Dyn.

Author:

Rutkowski Adam¹²,Sarbicki Gniewomir³,Chruściński Dariusz³

Affiliation:

1. Faculty of Mathematics, Physics and Informatics, University of Gdańsk, 80–952 Gdańsk, Poland

2. Quantum Information Centre of Gdańsk, 81–824 Sopot, Poland

3. Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Grudziadzka 5, 87–100 Toruń, Poland

Abstract

We provide a straightforward generalization of a positive map in [Formula: see text] considered recently by Miller and Olkiewicz [5]. It is proved that these maps are optimal and indecomposable. As a byproduct we provide a class of PPT entangled states in [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S123016121550016X

Reference4 articles.

1. Entanglement witnesses: construction, analysis and classification

2. Stable Subspaces of Positive Maps of Matrix Algebras

3. Bell inequalities and the separability criterion

4. Optimization of entanglement witnesses

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Diagonal unitary and orthogonal symmetries in quantum theory;Quantum;2021-08-09

2. Complete Positivity of Two Class of Maps Involving Depolarizing and Transpose-Depolarizing Channels;Open Systems & Information Dynamics;2021-06

3. Generating and detecting bound entanglement in two-qutrits using a family of indecomposable positive maps;Journal of Physics Communications;2021-06-01

4. Merging of positive maps: A construction of various classes of positive maps on matrix algebras;Linear Algebra and its Applications;2017-09

5. On Pure Quasi-Quantum Quadratic Operators of 2(ℂ) II;Open Systems & Information Dynamics;2015-12