A father protocol for quantum broadcast channels

Abstract

A new protocol for quantum broadcast channels based on the fully quantum Slepian-Wolf protocol is presented. The protocol yields an achievable rate region for entanglement-assisted transmission of quantum information through a quantum broadcast channel that can be considered the quantum analogue of Marton's region for classical broadcast channels. The protocol can be adapted to yield achievable rate regions for unassisted quantum communication and for entanglement-assisted classical communication; in the case of unassisted transmission, the region we obtain has no independent constraint on the sum rate, only on the individual transmission rates. Regularized versions of all three rate regions are provably optimal.

Typo in statement of Theorem 4 fixed

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• The apex of the family tree of protocols: Optimal rates and resource inequalities
• Applications of position-based coding to classical communication over quantum channels
• Classical communication over a quantum interference channel
• Classical codes for quantum broadcast channels
• Unconstrained Capacities of Quantum Key Distribution and Entanglement Distillation for Pure-Loss Bosonic Broadcast Channels
• Entanglement-assisted private communication over quantum broadcast channels
• Fundamental limitations to information transfer in accelerated frames
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• Bounds on entanglement distillation and secret key agreement for quantum broadcast channels
• Quantum Broadcast Channels with Cooperating Decoders: An Information-Theoretic Perspective on Quantum Repeaters
• A decoupling approach to classical data transmission over quantum channels
• On the near-optimality of one-shot classical communication over quantum channels
• Unconstrained distillation capacities of a pure-loss bosonic broadcast channel
• Coding for quantum channels with side information at the transmitter
• Simple and Tighter Derivation of Achievability for Classical Communication over Quantum Channels
• On the Use of Quantum Entanglement in Secure Communications: A Survey
• A Quantum Multiparty Packing Lemma and the Relay Channel
• Efficient methods for one-shot quantum communication
• One-shot Marton inner bound for classical-quantum broadcast channel
• Distributed Compression and Squashed Entanglement
• Fully Quantum Source Compression with a Quantum Helper
• Computable limits of optical multiple-access communications
• One-shot source coding with coded side information available at the decoder
• Relativistic Quantum Communication