Degradable strong entanglement breaking maps

Authors

Repana Devendra, Indian Statistical Institute Bangalore
Gunjan Sapra, Galgotias University
K. Sumesh, Indian Institute of Technology Madras

Article Type

Research Article

Publication Title

Linear Algebra and Its Applications

Abstract

In this paper, we provide a structure theorem and various characterizations of degradable strong entanglement breaking maps on separable Hilbert spaces. In the finite-dimensional case, we prove that unital degradable entanglement breaking maps are precisely the C^⁎-extreme points of the convex set of unital entanglement breaking maps on matrix algebras. Consequently, we get a structure for unital degradable positive partial transpose (PPT) maps.

First Page

302

Last Page

328

DOI

10.1016/j.laa.2024.09.006

Publication Date

12-15-2024

Comments

Open Access; Green Open Access

Recommended Citation

Devendra, Repana; Sapra, Gunjan; and Sumesh, K., "Degradable strong entanglement breaking maps" (2024). Journal Articles. 4700.
https://digitalcommons.isical.ac.in/journal-articles/4700