Polar codes in network quantum information theory

Abstract

Polar coding is a method for communication over noisy classical channels which is provably capacity-achieving and has an efficient encoding and decoding. Recently, this method has been generalized to the realm of quantum information processing, for tasks such as classical communication, private classical communication, and quantum communication. In the present work, we apply the polar coding method to network quantum information theory, by making use of recent advances for related classical tasks. In particular, we consider problems such as the compound multiple access channel and the quantum interference channel. The main result of our work is that it is possible to achieve the best known inner bounds on the achievable rate regions for these tasks, without requiring a so-called quantum simultaneous decoder. Thus, our work paves the way for developing network quantum information theory further without requiring a quantum simultaneous decoder.

18 pages, 2 figures, v2: 10 pages, double column, version accepted for publication

References in corpus (6)

• Coding Theorem and Strong Converse for Quantum Channels
• Polarization for arbitrary discrete memoryless channels
• Achieving the Uniform Rate Region of General Multiple Access Channels by Polar Coding
• On Quantum Capacity of Compound Channels
• Classical Capacities of Averaged and Compound Quantum Channels
• Rate-splitting in the presence of multiple receivers

Cited by in corpus (12)

• Convolutional Polar Codes
• Inner bounds via simultaneous decoding in quantum network information theory
• Polar Codes for Arbitrary Classical-Quantum Channels and Arbitrary cq-MACs
• Bounds on Information Combining With Quantum Side Information
• Polar codes in quantum information theory
• Universal random codes: Capacity regions of the compound quantum multiple-access channel with one classical and one quantum sender
• Rényi Bounds on Information Combining
• Polar Codes for Quantum Reading
• Universal classical-quantum superposition coding and universal classical-quantum multiple access channel coding
• Universal tester for multiple independence testing and classical-quantum arbitrarily varying multiple access channel
• Channel Polarization of Two-dimensional-input Quantum Symmetric Channels
• Polar Coding Strategies for the Interference Channel with Partially-Joint Decoding