Resource theory of imaginarity: Quantification and state conversion

Complex numbers are widely used in both classical and quantum physics indispensable components for describing systems their dynamical behavior. Recently, the resource theory of imaginarity has been introduced, allowing a systematic study complex mechanics information theory. In this work we develop theoretical methods imaginarity, motivated by recent progress within theories entanglement coherence. We investigate quantification, focusing on geometric robustness apply these tools to state conversion problem Moreover, analyze complexity real general operations optical experiments, number unfixed wave plates implementation. also discuss role local discrimination, proving that any pair orthogonal pure states can be discriminated via communication. Our reveals significance proves is experiments.