Public and private communication with a quantum channel and a secret key

Abstract

We consider using a secret key and a noisy quantum channel to generate noiseless public communication and noiseless private communication. The optimal protocol for this setting is the publicly-enhanced private father protocol. This protocol exploits random coding techniques and "piggybacking" of public information along with secret-key-assisted private codes. The publicly-enhanced private father protocol is a generalization of the secret-key-assisted protocol of Hsieh, Luo, and Brun and a generelization of a protocol for simultaneous communication of public and private information suggested by Devetak and Shor.

15 pages, 2 figures

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• Trade-off capacities of the quantum Hadamard channels
• Trading classical communication, quantum communication, and entanglement in quantum Shannon theory
• The apex of the family tree of protocols: Optimal rates and resource inequalities
• Quantum trade-off coding for bosonic communication
• Public and private resource trade-offs for a quantum channel
• One-shot Capacity bounds on the Simultaneous Transmission of Classical and Quantum Information
• Trade-off coding for universal qudit cloners motivated by the Unruh effect
• Universal superposition codes: capacity regions of compound quantum broadcast channel with confidential messages