Construction of three-qubit genuine entanglement with bipartite positive partial transposes

被引：7

作者：

Ha, Kil-Chan ^{[1
]}

Kye, Seung-Hyeok ^{[2
,3
]}

机构：

[1] Sejong Univ, Fac Math & Stat, Seoul 143747, South Korea

[2] Seoul Natl Univ, Dept Math, Seoul 151742, South Korea

[3] Seoul Natl Univ, Inst Math, Seoul 151742, South Korea

来源：

PHYSICAL REVIEW A | 2016年 / 93卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

SEPARABILITY; MATRICES; MAPS;

D O I：

10.1103/PhysRevA.93.032315

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We construct triqubit genuinely entangled states which have positive partial transposes (PPTs) with respect to the bipartition of systems. These examples disprove a conjecture [Novo, Moroder, and Guhne, Phys. Rev A 88, 012305 (2013)] which claims that PPT mixtures are necessary and sufficient for the biseparability of three qubits.

引用

页数：3

共 50 条

[1] Deterministic photon source of genuine three-qubit entanglement
Meng, Yijian
Chan, Ming Lai
Nielsen, Rasmus B.
Appel, Martin H.
Liu, Zhe
Wang, Ying
Bart, Nikolai
Wieck, Andreas D.
Ludwig, Arne
Midolo, Leonardo
Tiranov, Alexey
Sorensen, Anders S.
Lodahl, Peter
NATURE COMMUNICATIONS, 2024, 15 (01)
[2] Bipartite and Tripartite Entanglement in a Three-Qubit Heisenberg Model
REN Jie and ZHU Shi-Qun~ School of Physical Science and Technology
Communications in Theoretical Physics, 2006, 46 (12) : 969 - 974
[3] Bipartite and tripartite entanglement in a three-qubit Heisenberg model
Ren Jie
Zhu Shi-Qun
COMMUNICATIONS IN THEORETICAL PHYSICS, 2006, 46 (06) : 969 - 974
[4] Dynamics of genuine three-qubit entanglement in ising spin systems
Pang Chao-Yang
Li Yu-Liang
CHINESE PHYSICS LETTERS, 2006, 23 (12) : 3145 - 3147
[5] The dynamics of the bipartite and tripartite entanglement in the three-qubit Dicke model
Li-Jun, Mao
Yun-Bo, Zhang
ACTA PHYSICA SINICA, 2021, 70 (04)
[6] Analytical solutions and genuine multipartite entanglement of the three-qubit Dicke model
Zhang, Yu-Yu
Chen, Xiang-You
He, Shu
Chen, Qing-Hu
PHYSICAL REVIEW A, 2016, 94 (01)
[7] Genuine tripartite entanglement in quantum brachistochrone evolution of a three-qubit system
Zhao, Bao-Kui
Deng, Fu-Guo
Zhang, Feng-Shou
Zhou, Hong-Yu
PHYSICAL REVIEW A, 2009, 80 (05):
[8] Global and Bipartite Entanglement for Three-Qubit System Local Unitary Classes
Luna-Hernandez, S.
INTERNATIONAL CONFERENCE ON QUANTUM PHENOMENA, QUANTUM CONTROL AND QUANTUM OPTICS, QUANTUM FEST 2021, 2023, 2448
[9] Construction of three-qubit biseparable states distinguishing kinds of entanglement in a partial separability classification
Han, Kyung Hoon
Kye, Seung-Hyeok
PHYSICAL REVIEW A, 2019, 99 (03)
[10] Identification of three-qubit entanglement
Zhao, Ming-Jing
Zhang, Ting-Gui
Li-Jost, Xianqing
Fei, Shao-Ming
PHYSICAL REVIEW A, 2013, 87 (01):

← 1 2 3 4 5 →