Resource theory of asymmetric distinguishability

Understand

This paper systematically develops the resource theory of asymmetric distinguishability, as initiated roughly a decade ago [K.

• Matsumoto, arXiv:1010.1030 (2010)].
• The key constituents of this resource theory are quantum boxes, consisting of a pair of quantum states, which can be manipulated for free by means of an arbitrary quantum channel.
• We introduce bits of asymmetric distinguishability as the basic currency in this resource theory, and we prove that it is a reversible resource theory in the asymptotic limit, with the quantum relative entropy being the fundamental rate of resource interconversion.