A NOTE ON ENTANGLEMENT CLASSIFICATION FOR TRIPARTITE MIXED STATES

被引：0

作者：

Zhao, Hui ^{[1
]}

Liu, Yu-Qiu ^{[1
]}

Wang, Zhi-Xi ^{[2
]}

Fei, Shao-Ming ^{[2
]}

机构：

[1] Beijing Univ Technol, Fac Sci, Beijing 100124, Peoples R China

[2] Capital Normal Univ, Sch Math Sci, Beijing 100037, Peoples R China

来源：

ACTA POLYTECHNICA | 2022年 / 62卷 / 01期

基金：

北京市自然科学基金; 中国国家自然科学基金;

关键词：

Bell inequalities; separability; principal basis;

D O I：

10.14311/AP.2022.62.0222

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study the classification of entanglement in tripartite systems by using Bell-type inequalities and principal basis. By using Bell functions and the generalized three dimensional Pauli operators, we present a set of Bell inequalities which classifies the entanglement of triqutrit fully separable and bi-separable mixed states. By using the correlation tensors in the principal basis representation of density matrices, we obtain separability criteria for fully separable and bi-separable 2 circle times 2 circle times 3 quantum mixed states. Detailed example is given to illustrate our criteria in classifying the tripartite entanglement.

引用

页码：222 / 227

页数：6

共 15 条

[1] Bell JS., 1964, Physics, V1, P195, DOI [10.1103/Physics-PhysiqueFizika.1.195, 10.1103/PhysicsPhysiqueFizika.1.195]
[2] Multipartite generalization of the Schmidt decomposition
Carteret, HA
Higuchi, A
Sudbery, A
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2000, 41 (12) : 7932 - 7939
[3] Bell's inequality and entanglement in qubits
Chang, Po-Yao
Chu, Su-Kuan
Ma, Chen-Te
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2017, (09):
[4] PROPOSED EXPERIMENT TO TEST LOCAL HIDDEN-VARIABLE THEORIES
CLAUSER, JF
HORNE, MA
SHIMONY, A
HOLT, RA
[J]. PHYSICAL REVIEW LETTERS, 1969, 23 (15) : 880 - &
[5] Bell-type inequalities to detect true n-body nonseparability -: art. no. 170405
Collins, D
Gisin, N
Popescu, S
Roberts, D
Scarani, V
[J]. PHYSICAL REVIEW LETTERS, 2002, 88 (17) : 1704051 - 1704054
[6] Multipartite entanglement detection from correlation tensors
de Vicente, Julio I.
Huber, Marcus
[J]. PHYSICAL REVIEW A, 2011, 84 (06):
[7] Entanglement Measure and Quantum Violation of Bell-Type Inequality
Ding, Dong
He, Ying-Qiu
Yan, Feng-Li
Gao, Ting
[J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2016, 55 (10) : 4231 - 4237
[8] Can quantum-mechanical description of physical reality be considered complete?
Einstein, A
Podolsky, B
Rosen, N
[J]. PHYSICAL REVIEW, 1935, 47 (10): : 0777 - 0780
[9] Gottesman D, 1999, CHAOS SOLITON FRACT, V10, P1749, DOI 10.1016/S0960-0779(98)00218-5
[10] Huang XF, 2016, COMMUN THEOR PHYS, V65, P701, DOI 10.1088/0253-6102/65/6/701

← 1 2 →