Resource theory of imaginarity: Quantification and state conversion
Resource theory of imaginarity: Quantification and state conversion
复制标题
想象的资源理论：量化和状态转换
DOI：
10.1103/physreva.103.032401
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发表时间：
2021-03
影响因子：
2.9
通讯作者：
er
中科院分区：
文献类型：
--
作者：
Wu Kang-Da;Kondra Tulja Varun;Rana Swapan;Sc;olo Carlo Maria;Xiang Guo-Yong;Li Chuan-Feng;Guo Guang-Can;Streltsov Alex;er
Complex numbers are widely used in both classical and quantum physics, and are indispensable components for describing quantum systems and their dynamical behavior. Recently, the resource theory of imaginarity has been introduced, allowing for a systematic study of complex numbers in quantum mechanics and quantum information theory. In this work we develop theoretical methods for the resource theory of imaginarity, motivated by recent progress within theories of entanglement and coherence. We investigate imaginarity quantification, focusing on the geometric imaginarity and the robustness of imaginarity, and apply these tools to the state conversion problem in imaginarity theory. Moreover, we analyze the complexity of real and general operations in optical experiments, focusing on the number of unfixed wave plates for their implementation. We also discuss the role of imaginarity for local state discrimination, proving that any pair of real orthogonal pure states can be discriminated via local real operations and classical communication. Our study reveals the significance of complex numbers in quantum physics, and proves that imaginarity is a resource in optical experiments.
