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Relationship between robustness of imaginarity and quantum coherence

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Abstract

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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Data Availibility Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This is a theoretical study and no experimental data has been listed.]

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Authors and Affiliations

  1. School of Physical Science and Technology, Tiangong University, Tianjin, 300387, China

    Hong-biao Li, Ming Hua & Qiang Zheng

  2. School of Physics and Electronic Science, Guizhou Normal University, Guiyang, 550001, China

    Qi-jun Zhi

  3. Guizhou Provincial Key Laboratory of Radio Astronomy and Data Processing, Guizhou Normal University, Guiyang, China

    Qi-jun Zhi

  4. School of Biology and Engineering, Guizhou Medical University, Guiyang, 5500252, China

    Yue Ping

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  1. Hong-biao Li
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  2. Ming Hua
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  4. Qi-jun Zhi
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Correspondence to Qiang Zheng.

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Li, Hb., Hua, M., Zheng, Q. et al. Relationship between robustness of imaginarity and quantum coherence. Eur. Phys. J. D 77, 38 (2023). https://doi.org/10.1140/epjd/s10053-023-00618-4

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