Choi-Defined Resource Theories
arXiv:2402.12569 · doi:10.1103/PhysRevA.111.062407
Abstract
Many resource theories share an interesting property: An operation is free if and only if its renormalized Choi matrix is a free state. In this article, we refer to resource theories exhibiting this property as Choi-defined resource theories. We demonstrate how and under what conditions one can construct a Choi-defined resource theory, and we prove that when such a construction is possible, the free operations are all and only the completely resource-non-generating operations. Moreover, we examine resource measures, a complete family of monotones, and conversion distances in such resource theories.
10 + 16 pages, 1 figure. New results and presentation