Secrecy capacities of compound quantum wiretap channels and applications

Abstract

We determine the secrecy capacity of the compound channel with quantum wiretapper and channel state information at the transmitter. Moreover, we derive a lower bound on the secrecy capacity of this channel without channel state information and determine the secrecy capacity of the compound classical-quantum wiretap channel with channel state information at the transmitter. We use this result to derive a new proof for a lower bound on the entanglement generating capacity of compound quantum channel. We also derive a new proof for the entanglement generating capacity of compound quantum channel with channel state information at the encoder.

We revised and improved our paper arXiv:1208.1151. We added a new result for capacity and a new section for applications. arXiv admin note: text overlap with arXiv:1202.0773. Published in the 1 May 2014 issue of Physical Review A, Vol.89, No.5

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• Quantum Broadcast Channels with Cooperating Decoders: An Information-Theoretic Perspective on Quantum Repeaters
• Classical-Quantum Arbitrarily Varying Wiretap Channel: Secret Message Transmission under Jamming Attacks
• Second-order coding rates for key distillation in quantum key distribution
• Classical-Quantum Arbitrarily Varying Wiretap Channel: Ahlswede dichotomy, Positivity, Resources, Super Activation
• Classical - Quantum Arbitrarily Varying Wiretap Channel: Common Randomness Assisted Code and Continuity
• Semantic Security for Quantum Wiretap Channels
• Universal superposition codes: capacity regions of compound quantum broadcast channel with confidential messages
• Universal random codes: Capacity regions of the compound quantum multiple-access channel with one classical and one quantum sender
• Distillation of secret key from a class of compound memoryless quantum sources