Alternative non-Gaussianity measures for quantum states based on quantum fidelity

被引：1

作者：

Xiang, Cheng ^{[1
,2
]}

Li, Shan-Shan ^{[1
,2
]}

Wen, Sha-Sha ^{[1
,2
]}

Xiang, Shao-Hua ^{[1
,2
]}

机构：

[1] Huaihua Univ, Coll Elect & Informat Engn, Huaihua 418008, Peoples R China

[2] Hunan Prov Key Lab Ecol Agr Intelligent Control T, Huaihua 418008, Peoples R China

来源：

CHINESE PHYSICS B | 2022年 / 31卷 / 03期

关键词：

non-Gaussianity; quantum fidelity; non-Gaussian states; sine metric; DISTANCE;

D O I：

10.1088/1674-1056/ac1928

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose three alternative measures for non-Gaussianity of quantum states: sine distance, Bures angle, and Bures distance, which are based on quantum fidelity introduced by Wang [Phys. Lett. A 373 58 (2008)]. Using them, we evaluate the non-Gaussianity of some relevant single-mode and two-mode non-Gaussian states and find a good consistency of the three examined measures. In addition, we show that such metrics can exactly quantify the degree of Gaussianity of even Schrodinger-cat-like states of small amplitudes that can not be measured by other known non-Gaussianity measures such as the Hilbert-Schmidt metric and the relative entropy metric. We make a comparative study between all existing non-Gaussianity measures according to the metric axioms and point out that the sine distance is the best candidate among them.

引用

页数：9

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