Entanglement criterion of N qubit system br

被引：0

作者：

Tan, Wei-Han ^{[1
]}

Zhao, Chao-Ying ^{[2
,3
]}

Guo, Qi-Zhi ^{[1
]}

机构：

[1] Shanghai Univ, Dept Phys, Shanghai 200444, Peoples R China

[2] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310018, Peoples R China

[3] Shanxi Univ, Inst Optoelect, State Key Lab Quantum Opt & Quantum Opt Devices, Taiyuan 030006, Peoples R China

来源：

ACTA PHYSICA SINICA | 2023年 / 72卷 / 01期

关键词：

Born probability density; N qubit system; entangle states; SEPARABILITY CRITERION; QUANTUM; STATES;

D O I：

10.7498/aps.72.20221524

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In previous paper (2019 Int. J. Mod. Phys. B33 1950197; 2020 Int. J. Mod. Phys. B34 2050022), wepresented a method to judge the entanglement of 2-qubit system. The necessary and sufficient conditions for the2qubit system being separable are that if the relevant coefficients is positive and the principal density matrix isseparable, then the system is separable, otherwise it is entangled. Now in this paper, we try to generalize thiscriterion to a 3-qubit system, and then, we further generalize the criterion of 3-qubit system to an N-qubitsystem. This is a complicated and interesting issue

引用

页数：11

共 20 条

[1] Entanglement estimation from Bell inequality violation
Bartkiewicz, Karol
Horst, Bohdan
Lemr, Karel
Miranowicz, Adam
[J]. PHYSICAL REVIEW A, 2013, 88 (05):
[2] Bennett C H, PHYS REV A
[3] COMMUNICATION VIA ONE-PARTICLE AND 2-PARTICLE OPERATORS ON EINSTEIN-PODOLSKY-ROSEN STATES
BENNETT, CH
WIESNER, SJ
[J]. PHYSICAL REVIEW LETTERS, 1992, 69 (20) : 2881 - 2884
[4] TELEPORTING AN UNKNOWN QUANTUM STATE VIA DUAL CLASSICAL AND EINSTEIN-PODOLSKY-ROSEN CHANNELS
BENNETT, CH
BRASSARD, G
CREPEAU, C
JOZSA, R
PERES, A
WOOTTERS, WK
[J]. PHYSICAL REVIEW LETTERS, 1993, 70 (13) : 1895 - 1899
[5] Boyd R W, 2009, NONLINEAR OPTICS, V3rd, P130
[6] Inseparability criterion for continuous variable systems
Duan, LM
Giedke, G
Cirac, JI
Zoller, P
[J]. PHYSICAL REVIEW LETTERS, 2000, 84 (12) : 2722 - 2725
[7] QUANTUM CRYPTOGRAPHY BASED ON BELL THEOREM
EKERT, AK
[J]. PHYSICAL REVIEW LETTERS, 1991, 67 (06) : 661 - 663
[8] Separability of mixed states: Necessary and sufficient conditions
Horodecki, M
Horodecki, P
Horodecki, R
[J]. PHYSICS LETTERS A, 1996, 223 (1-2) : 1 - 8
[9] Separability criterion and inseparable mixed states with positive partial transposition
Horodecki, P
[J]. PHYSICS LETTERS A, 1997, 232 (05) : 333 - 339
[10] Quantum entanglement
Horodecki, Ryszard
Horodecki, Pawel
Horodecki, Michal
Horodecki, Karol
[J]. REVIEWS OF MODERN PHYSICS, 2009, 81 (02) : 865 - 942

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