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三维X型态的相干值计算
引用本文:赵安婷,方明,陶元红.三维X型态的相干值计算[J].延边大学理工学报,2023,0(1):48-52.
作者姓名:赵安婷  方明  陶元红
作者单位:(1.延边大学 理学院, 吉林 延吉 133002; 2.浙江科技学院 理学院, 杭州 310023)
摘    要:利用相干度量的定义式和三维X型态的密度矩阵对3类相干度量的解析表达式进行了研究,并给出了具体解析表达式.这3类相干度量分别为基于范数的相干度量(l1范数相干、 lp范数相干(p>1)、 α - 亲和度相干)、基于熵的相干度量(相对熵相干、Tsallis - α相对熵相干、 Rényi - α相对熵相干)和基于斜信息的相干度量.该研究结果可为在不同相干度量下讨论量子态的权衡关系、不确定性关系以及序关系提供参考.

关 键 词:X型态  量子相干  范数相干度量  熵相干度量  斜信息相干度量

Quantum coherence of three - dimensional X states
ZHAO Anting,FANG Ming,TAO Yuanhong.Quantum coherence of three - dimensional X states[J].Journal of Yanbian University (Natural Science),2023,0(1):48-52.
Authors:ZHAO Anting  FANG Ming  TAO Yuanhong
Affiliation:(1.College of Science, Yanbian University, Yanji 133002, China; 2.College of Science, Zhejiang University of Science and Technology, Hangzhou 310023, China)
Abstract:Using the definition of coherence measure and the density matrix of three - dimensional X- type state, the analytical expressions of three kinds of coherence measures are studied and given.These three kinds of coherence measures are norm - based coherence measures, which are based on norms(l1 - norm coherence measure, lp - norm coherence measure(p > 1), Rényi - α relative entropy coherence), coherence based on entropy(relative entropy coherence measure, α - affinity coherence measure, Tsallis - α relative entropy coherence)and skew information coherence measure.The research results can provide a reference for discussing the trade - off, uncertainty and order relations of quantum states under different coherence measures.
Keywords:X state  quantum coherence  norm coherence measure  entropy coherence measure  skew information coherence
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