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Bibliographic Details
Main Authors: Devendra, Repana, sapra, Gunjan, Sumesh, K.
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2304.00309
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author Devendra, Repana
sapra, Gunjan
Sumesh, K.
author_facet Devendra, Repana
sapra, Gunjan
Sumesh, K.
contents In this paper, we provide a structure theorem and various characterizations of degradable strongly 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.
format Preprint
id arxiv_https___arxiv_org_abs_2304_00309
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Degradable Strongly Entanglement Breaking Maps
Devendra, Repana
sapra, Gunjan
Sumesh, K.
Operator Algebras
Functional Analysis
Quantum Physics
In this paper, we provide a structure theorem and various characterizations of degradable strongly 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.
title Degradable Strongly Entanglement Breaking Maps
topic Operator Algebras
Functional Analysis
Quantum Physics
url https://arxiv.org/abs/2304.00309