Classical-quantum arbitrarily varying wiretap channel: common randomness assisted code and continuity

• Published in: Quantum information processing Vol. 16; no. 1; pp. 1 - 48
• Main Authors: Boche, Holger, Cai, Minglai, Deppe, Christian, Nötzel, Janis
• Format: Journal Article
• Language: English
• Published: New York Springer US 2017; Springer Nature B.V
• Subjects: Data Structures and Information Theory; Mathematical Physics; Physics; Physics and Astronomy; Quantum Computing; Quantum Information Technology; Quantum Physics; Spintronics; Wiretapping; Arbitrarily varying channel; Wiretap channel; Classical-quantum channel
• ISSN: 1570-0755; 1573-1332
• DOI: 10.1007/s11128-016-1473-y

We determine the secrecy capacities under common randomness assisted coding of arbitrarily varying classical-quantum wiretap channels. Furthermore, we determine the secrecy capacity of a mixed channel model which is compound from the sender to the legitimate receiver and varies arbitrarily from the sender to the eavesdropper. We examine when the secrecy capacity is a continuous function of the system parameters as an application and show that resources, e.g., having access to a perfect copy of the outcome of a random experiment, can guarantee continuity of the capacity function of arbitrarily varying classical-quantum wiretap channels.