Regular Article – Quantum Information
Relationship between robustness of imaginarity and quantum coherence
School of Physical Science and Technology, Tiangong University, 300387, Tianjin, China
2 School of Physics and Electronic Science, Guizhou Normal University, 550001, Guiyang, China
3 Guizhou Provincial Key Laboratory of Radio Astronomy and Data Processing, Guizhou Normal University, Guiyang, China
4 School of Biology and Engineering, Guizhou Medical University, 5500252, Guiyang, China
Accepted: 16 February 2023
Published online: 7 March 2023
Quantum state generally belongs to complex Hilbert space. Based on quantum resource theory, imaginarity of a quantum state can be quantified by robustness of imaginarity. This paper explores the relationship between the robustness of imaginarity and quantum coherence. For a single qubit, its robustness of imaginarity is complementary to the quantum coherence. Moreover, the quantum coherence of a state in a d-dimensional Hilbert space (d being larger than two) is lower bounded by its robustness of imaginarity.
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