Choi-Defined Resource Theories

• URL: http://arxiv.org/abs/2402.12569v2
• Date: Sat, 05 Oct 2024 01:01:31 GMT
• Title: Choi-Defined Resource Theories
• Authors: Elia Zanoni, Carlo Maria Scandolo,
• Abstract summary: We refer to resource theories exhibiting this property as Choi-defined resource theories. We prove that when such a construction is possible, the free operations are all and only the completely resource non-generating operations.
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• 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 letter, 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 prove that when such a construction is possible, the free operations are all and only the completely resource non-generating operations. Moreover, we define resource measures, a complete family of monotones, and conversion distances in such resource theories.

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