Abstract
Quantum resource theories offer a powerful framework for studying various phenomena in quantum physics. Although considerable effort has been devoted to developing a unified framework of resource theories, there are few common properties that hold for all quantum resources. In this paper, we fill this gap by introducing the flag additivity based on the tensor product structure and the flag basis for the general quantum resources. To illustrate the usefulness of flag additivity, we show that flag additivity can be used to derive other nontrivial properties in quantum resource theories, e.g., strong monotonicity, convexity, and full additivity.
- Received 31 January 2019
DOI:https://doi.org/10.1103/PhysRevA.99.042322
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