Degradable strong entanglement breaking maps
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.
Authors
- Gunjan Sapra (ORCID: https://orcid.org/0000-0002-7789-1281)
- K. Sumesh
- Repana Devendra (ORCID: https://orcid.org/0009-0002-5985-9381)
Institutions
- Galgotias University (IN)
- Indian Institute of Technology Madras (IN)
- Indian Statistical Institute (IN)
Publication Details
- Journal
- Linear Algebra and its Applications
- Published
- 2024-09-17
- DOI
- https://doi.org/10.1016/j.laa.2024.09.006
- Citations
- 1
- Primary Topic
- Quantum Information and Cryptography
- Type
- article
- Field-Weighted Citation Impact
- 0.35
Funders
- Ministry of Education, India
- Science and Engineering Research Board