自然科学版
陕西师范大学学报(自然科学版)
生物医学大数据专题
量子Swapping网络中非局域性度量的上界的优化
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张颖1,郭志华2,贺衎1*
(1 太原理工大学 数学学院,山西 太原 030024;2 陕西师范大学 数学与统计学院,陕西 西安710119)
贺衎,男,教授,博士生导师,主要从事量子计算与量子算法方面的研究。E-mail: hekanquantum@163.com
摘要:
测量诱导的非双局域关联是一种通过对多体量子系统状态进行局部测量来量化Swapping网络中非局域性的度量。在纯态情形这类度量具有解析的计算公式,但对于混合态情形无法精确计算,只能对其上界进行估计。该文研究一类特殊的混合态,即边缘态ρBC具有直积态ρBC=ρBρC形式,其中ρB是非简并且ρC是简并的情况,得到了该类混合态测量诱导的非双局域关联上界更精细的计算公式。
关键词:
测量诱导的非双局域关联;度量上界;量子非局域性;量子关联
收稿日期:
2022-02-18
中图分类号:
TB565.1
文献标识码:
A
文章编号:
1672-4291(2023)05-0043-06
基金项目:
国家自然科学基金(12271394)
Doi:
10.15983/j.cnki.jsnu.2023025
Refining upper bounds of the measurement-induced nonbilocal correlation in the Swapping experiment
ZHANG Ying1,GUO Zhihua2,HE Kan1*
(1 College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, Shanxi, China;2 School of Mathematics and Statistics, Shaanxi Normal University, Xian 710119, Shaanxi, China)
Abstract:
Measurement-induced nonbilocal correlation is a measure which quantifies the nonlocality in the entanglement-swapping experiment under local measurements. The measure can be calculated for the pure state, however not for the mixed state. It is obtained that a refined upper bound of the measurement-induced nonbilocal correlation for a special class of mixed states, that is, the marginal state ρBC of every state in this class is a product state ρBC=ρBρC, ρB is non-degenerate and ρC is degenerate.
KeyWords:
measurement-induced nonbilocal correlation;upper bounds of measures;quantum nonlocality;quantum correlations