https://doi.org/10.1140/epjd/s10053-023-00757-8
Regular Article – Quantum Information
Degree of quantum non-Gaussianity in a spin
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
Received:
17
March
2023
Accepted:
8
September
2023
Published online:
6
October
2023
Non-Gaussian state is not only important to test fundamental law of quantum theory, such as Schr
dinger cat state, but also vital in quantum metrology and quantum information processing, such as NOON state. Although many progresses in quantification of quantum non-Gaussianity in a bosonic system have been achieved, non-Gaussian measure of a spin is still missing. In this paper, by making use of the framework of quantum spin squeezing, the degree of non-Gaussianity in a spin has been proposed. The effectiveness of our non-Gaussian measure has been checked in the model of quantum kicked top. This non-Gaussian measure shows clear quantum signatures of the regular or chaotic regime in the classical phase space. Our result may be meaningful in quantum metrology and quantum information processing based on non-Gaussian states of a spin system.
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