Intersection and Union of Subspaces With Applications to Communication Over Authenticated Classical-Quantum Channels and Composite Hypothesis Testing
Article Type
Research Article
Publication Title
IEEE Transactions on Information Theory
Abstract
In information theory, we often use intersection and union of the typical sets to analyze various communication problems. However, in the quantum setting it is not very clear how to construct a measurement which behaves analogously to intersection and union of the typical sets. In this work, we construct a projection operator which behaves very similarly to intersection and union of the typical sets. Our construction relies on the Jordan’s lemma. Using this construction we study the problem of communication over authenticated classical-quantum channels and derive its capacity. As another application of our construction, we also study the problem of quantum asymmetric composite hypothesis testing.
First Page
2763
Last Page
2781
DOI
10.1109/TIT.2025.3531565
Publication Date
1-1-2025
Recommended Citation
Warsi, Naqueeb Ahmad and Dasgupta, Ayanava, "Intersection and Union of Subspaces With Applications to Communication Over Authenticated Classical-Quantum Channels and Composite Hypothesis Testing" (2025). Journal Articles. 5440.
https://digitalcommons.isical.ac.in/journal-articles/5440