Detecting positive quantum capacities of quantum channels
Publication Date
2022-12Journal Title
npj Quantum Information
ISSN
2056-6387
Publisher
Springer Science and Business Media LLC
Volume
8
Issue
1
Language
en
Type
Article
This Version
VoR
Metadata
Show full item recordCitation
Singh, S., & Datta, N. (2022). Detecting positive quantum capacities of quantum channels. npj Quantum Information, 8 (1) https://doi.org/10.1038/s41534-022-00550-2
Abstract
Using elementary techniques from analytic perturbation theory of Hermitian
matrices, we devise a simple strategy to detect positive quantum capacities of
quantum channels and their complements. Several noteworthy examples, such as
the depolarizing and transpose-depolarizing channels (including the
Werner-Holevo channel), dephasing channels, generalized Pauli channels,
multi-level amplitude damping channels, and (conjugate) diagonal unitary
covariant channels, serve to aptly exhibit the utility of our method. Our main
result leads to simplified proofs of certain existing structure theorems for
the class of degradable quantum channels, and an extension of their
applicability to the larger class of more capable quantum channels.
Keywords
Article, /639/766/483/481, /639/766/259, article
Identifiers
s41534-022-00550-2, 550
External DOI: https://doi.org/10.1038/s41534-022-00550-2
This record's URL: https://www.repository.cam.ac.uk/handle/1810/336880
Rights
Licence:
http://creativecommons.org/licenses/by/4.0/
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