Polar codes in quantum information theory
Seminar author:Christoph Hirche
Event date and time:04/13/2015 03:30:pm
Event location:IFAE seminar room
Event contact:
Polar codes are the first capacity achieving and efficiently
implementable codes for classical communication. Recently they have also
been generalized to communication over classical-quantum and quantum
channels. In this work we present our recent results for polar coding in
quantum information theory, including applications to classical-quantum
multiple access channels, interference channels and compound
communication settings, including the first proof of channel coding
achieving the Han-Kobayashi rate region of the interference channel
without the need of a simultaneous decoder.
Moreover we add to the existing framework by extending polar codes to
achieve the asymmetric capacity and improving the block error
probability for classical-quantum channels. In addition we use polar
codes to prove a new achievable rate region for the classical-quantum
broadcast channel.
We conclude by stating a list of interesting open questions to invite
further research on the topic.