  We establish Ahlswede dichotomy for arbitrarily varying classical-quantum
wiretap channels. This means that either the deterministic secrecy capacity of
an arbitrarily varying classical-quantum wiretap channel is zero or it equals
its randomness-assisted secrecy capacity. We analyze the secrecy capacity of
arbitrarily varying classical-quantum wiretap channels when the sender and the
receiver use various resources. It turns out that having randomness, common
randomness, and correlation as resources are very helpful for achieving a
positive deterministic secrecy capacity of arbitrarily varying
classical-quantum wiretap channels. We prove the phenomenon super-activation
for arbitrarily varying classical-quantum wiretap channels, i.e., if we use two
arbitrarily varying classical-quantum wiretap channels, both with zero
deterministic secrecy capacity together, they allow perfect secure
transmission.
