تقرير
Characterizing Kirkwood-Dirac positive states based on discrete Fourier transform
| العنوان: | Characterizing Kirkwood-Dirac positive states based on discrete Fourier transform |
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| المؤلفون: | Yang, Ying-Hui, Yao, Shuang, Geng, Shi-Jiao, Wang, Xiao-Li, Chen, Pei-Ying |
| سنة النشر: | 2024 |
| المجموعة: | Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics |
| الوصف: | Kirkwood-Dirac (KD) distribution is helpful to describe nonclassical phenomena and quantum advantages, which have been linked with nonpositive entries of KD distribution. Suppose that $\mathcal{A}$ and $\mathcal{B}$ are the eigenprojectors of the two eigenbases of two observables and the discrete Fourier transform (DFT) matrix is the transition matrix between the two eigenbases. In a system with prime dimension, the set $\mathcal{E}_{KD+}$ of KD positive states based on the DFT matrix is convex combinations of $\mathcal{A}$ and $\mathcal{B}$. That is, $\mathcal{E}_{KD+}={\rm conv}(\mathcal{A}\cup\mathcal{B})$ [arXiv:2306.00086]. In this paper, we generalize the result. That is, in a $d$-dimensional system, $\mathcal{E}_{KD+}={\rm conv}(\Omega)$ for $d=p^{2}$ and $d=pq$, where $p, q$ are prime and $\Omega$ is the set of projectors of all the pure KD positive states. Comment: 24 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2404.09399 |
| رقم الأكسشن: | edsarx.2404.09399 |
| قاعدة البيانات: | arXiv |
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