https://doi.org/10.1140/epjd/s10053-023-00618-4
Regular Article – Quantum Information
Relationship between robustness of imaginarity and quantum coherence
1
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
c
qiangzhengtg@tiangong.edu.cn
Received:
1
October
2022
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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