Freezing imaginarity of quantum states based on ℓ1-norm

doi:10.1088/1674-1056/ad7c2f

Abstract We discuss freezing of quantum imaginarity based on $\ell_1$-norm. Several properties about a quantity of imaginarity based on $\ell_1$-norm are revealed. For a qubit (2-dimensional) system, we characterize the structure of real quantum operations that allow for freezing the quantity of imaginarity of any state. Furthermore, we characterize the structure of local real operations which can freeze the quantity of imaginarity of a class of $N$-qubit quantum states.

Keywords: imaginarity freezing $\ell_1$-norm real operation

Received: 04 August 2024
Revised: 11 September 2024
Accepted manuscript online: 18 September 2024

PACS:	03.65.Ud	(Entanglement and quantum nonlocality)
	03.67.Mn	(Entanglement measures, witnesses, and other characterizations)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 12271325) and the Natural Science Basic Research Plan in Shaanxi Province of China (Grant No. 2020JM-294).

Corresponding Authors: Zhihua Guo
E-mail: guozhihua@snnu.edu.cn

Cite this article:

Shuo Han(韩烁), Bingke Zheng(郑冰轲), and Zhihua Guo(郭志华) Freezing imaginarity of quantum states based on ℓ₁-norm 2024 Chin. Phys. B 33 100306

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Freezing imaginarity of quantum states based on ℓ₁-norm