Semantic Security for Quantum Wiretap Channels

We determine the semantic security capacity for quantum wiretap channels. We extend methods for classical channels to quantum channels to demonstrate that a strongly secure code guarantees a semantically secure code with the same secrecy rate. Furthermore, we show how to transform a non-secure code into a semantically secure code by means of biregular irreducible functions (BRI functions). We analyze semantic security for classical quantum channels and for quantum channels.Comment: v1: 38 pages, 2 figure

Secret Message Transmission over Quantum Channels under Adversarial Quantum Noise: Secrecy Capacity and Super-Activation

We determine the secrecy capacities of AVQCs (arbitrarily varying quantum channels). Both secrecy capacity with average error probability and with maximal error probability are derived. Both derivations are based on one common code construction. The code we construct fulfills a stringent secrecy requirement, which is called the strong code concept. We determine when the secrecy capacity is a continuous function of the system parameters and completely characterize its discontinuity points both for average error criterion and for maximal error criterion. Furthermore, we prove the phenomenon "super-activation" for secrecy capacities of AVQCs, i.e., two quantum channels both with zero secrecy capacity, which, if used together, allow secure transmission with positive capacity. We also discuss the relations between the entanglement distillation capacity, the entanglement generating capacity, and the strong subspace transmission capacity for AVQCs.Comment: arXiv admin note: text overlap with arXiv:1702.0348

Secrecy capacities of compound quantum wiretap channels and applications

Boche H, Cai M, Cai N, Deppe C. Secrecy capacities of compound quantum wiretap channels and applications. 2013.We determine the secrecy capacity of the compound channel with quantumwiretapper and channel state information at the transmitter. Moreover, wederive a lower bound on the secrecy capacity of this channel without channelstate information and determine the secrecy capacity of the compoundclassical-quantum wiretap channel with channel state information at thetransmitter. We use this result to derive a new proof for a lower bound on theentanglement generating capacity of compound quantum channel. We also derive anew proof for the entanglement generating capacity of compound quantum channelwith channel state information at the encoder