Evaluating the Advantage of Adaptive Strategies for Quantum Channel Distinguishability

This paper contributes further to the resource theory of asymmetric distinguishability for quantum strategies, as introduced recently by [Wang et al., Phys. Rev. Research 1, 033169 (2019)]. The fundamental objects in the resource theory are pairs of quantum strategies, which are generalizations of quantum channels that provide a framework to describe any arbitrary quantum interaction. We provide semi-definite program characterizations of the one-shot operational quantities in this resource theory. We then apply these semi-definite programs to study the advantage conferred by adaptive strategies in discrimination and distinguishability distillation of generalized amplitude damping channels.