Secrecy capacities of compound quantum wiretap channels and applications

TL;DR

This paper determines the secrecy capacities of various compound quantum wiretap channels, providing new bounds and proofs for their capacities with and without channel state information, and applications to entanglement generation.

Contribution

It introduces new bounds and proofs for the secrecy and entanglement capacities of compound quantum channels with channel state information.

Findings

Secrecy capacity of compound quantum wiretap channels with channel state information determined.

Lower bounds on secrecy capacity without channel state information derived.

New proofs for entanglement generating capacities of compound quantum channels.

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.