Classical codes for quantum broadcast channels
arXiv:1111.3645 · doi:10.1109/TIT.2015.2485998
Abstract
We present two approaches for transmitting classical information over quantum broadcast channels. The first technique is a quantum generalization of the superposition coding scheme for the classical broadcast channel. We use a quantum simultaneous nonunique decoder and obtain a proof of the rate region stated in [Yard et al., IEEE Trans. Inf. Theory 57 (10), 2011]. Our second result is a quantum generalization of the Marton coding scheme. The error analysis for the quantum Marton region makes use of ideas in our earlier work and an idea recently presented by Radhakrishnan et al. in arXiv:1410.3248. Both results exploit recent advances in quantum simultaneous decoding developed in the context of quantum interference channels.
v4: 20 pages, final version to appear in IEEE Transactions on Information Theory
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- Hadamard quantum broadcast channels
- Bounds on entanglement distillation and secret key agreement for quantum broadcast channels
- Capacities of Quantum Amplifier Channels
- Quantum Broadcast Channels with Cooperating Decoders: An Information-Theoretic Perspective on Quantum Repeaters
- On the near-optimality of one-shot classical communication over quantum channels
- Simple and Tighter Derivation of Achievability for Classical Communication over Quantum Channels
- Secure communication over fully quantum Gel'fand-Pinsker wiretap channel
- New lower bounds to the output entropy of multi-mode quantum Gaussian channels
- Computable limits of optical multiple-access communications