Entanglement of linear cluster states in terms of averaged entropies

被引：21

作者：

Cao Ye ^{[1
,2
]}

Li Hui ^{[1
,2
]}

Long GuiLu ^{[1
,2
,3
]}

机构：

[1] Tsinghua Univ, State Key Lab Low Dimens Quantum Phys, Beijing 100084, Peoples R China

[2] Tsinghua Univ, Dept Phys, Beijing 100084, Peoples R China

[3] Tsinghua Univ, Tsinghua Natl Lab Informat Sci & Technol, Beijing 100084, Peoples R China

来源：

CHINESE SCIENCE BULLETIN | 2013年 / 58卷 / 01期

基金：

中国国家自然科学基金;

关键词：

average subsystem entropies; cluster states; multiple entropy measures; quantum entanglement;

D O I：

10.1007/s11434-012-5604-2

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

An entanglement measure, multiple entropy measures (MEMS) was proposed recently by using the geometric mean of partial entropies over all possible i-body combinations of the quantum system. In this work, we study the average subsystem von Neumann entropies of the linear cluster state and investigated the quantum entanglement of linear cluster states in terms of MEMS. Explicit results with specific particle numbers are calculated, and some analytical results are given for systems with arbitrary particle numbers. Compared with other example quantum states such as the GHZ states and W states, the linear cluster states are "more entangled" in terms of MEMS, namely their averaged entropies are larger than the GHZ states and W states.

引用

页码：48 / 52

页数：5

共 56 条

[1] Generalized Schmidt decomposition and classification of three-quantum-bit states [J].