24 citations · 92 across the 17 of their papers we have counts for
5 papers · 1 filter
A Characterization of the Shannon Ordering of Communication Channels
Rajai Nasser
The ordering of communication channels was first introduced by Shannon. In this paper, we aim to find a characterization of the Shannon ordering. We show that contains if…
On the Input-Degradedness and Input-Equivalence Between Channels
Rajai Nasser
A channel is said to be input-degraded from another channel if can be simulated from by randomization at the input. We provide a necessary and sufficient conditio…
Polar Codes for Arbitrary Classical-Quantum Channels and Arbitrary cq-MACs
Rajai Nasser, Joseph M. Renes
We prove polarization theorems for arbitrary classical-quantum (cq) channels. The input alphabet is endowed with an arbitrary Abelian group operation and an Arıkan-style transforma…
Topological Structures on DMC spaces
Rajai Nasser
Two channels are said to be equivalent if they are degraded from each other. The space of equivalent channels with input alphabet and output alphabet can be naturally endow…
Continuity of Channel Parameters and Operations under Various DMC Topologies
Rajai Nasser
We study the continuity of many channel parameters and operations under various topologies on the space of equivalent discrete memoryless channels (DMC). We show that mutual inform…