Lorentz invariants of pure three-qubit states

被引：0

作者：

Devi, A. R. Usha ^{[1
,2
]}

Sudha, H. Akshata ^{[2
,3
,4
]}

Shenoy, H. Akshata ^{[4
]}

Karthik, H. S. ^{[4
]}

Karthik, B. N. ^{[1
]}

机构：

[1] Bangalore Univ, Dept Phys, Bangalore 560056, India

[2] Inspire Inst Inc, Alexandria, VA 22303 USA

[3] Kuvempu Univ, Dept Phys, Shankaraghatta 577451, Karnataka, India

[4] Univ Gdansk, Int Ctr Theory Quantum Technol, Gdansk, Poland

来源：

QUANTUM INFORMATION PROCESSING | 2024年 / 23卷 / 07期

关键词：

Three-qubit pure states; SL(2; C) canonical form; Lorentz invariants; Geometric picture; LOCAL INVARIANTS; ENTANGLEMENT; OPERATIONS;

D O I：

10.1007/s11128-024-04454-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Extending the mathematical framework of Sudha et al. (Phys Rev A 102:052419, 2020), we construct Lorentz invariant quantities of pure three-qubit states. This method serves as a bridge between the well-known local unitary (LU) invariants of an arbitrary three-qubit pure state and the Lorentz invariants of its reduced two-qubit systems.

引用

页数：17

共 50 条

[31] Quantum circuit for three-qubit random states
Giraud, Olivier
Znidaric, Marko
Georgeot, Bertrand
[J]. PHYSICAL REVIEW A, 2009, 80 (04):
[32] Correlations Existing in Three-Qubit Product States
Sun Chun-Xiao
Shi Ming-Jun
Du Jiang-Feng
[J]. CHINESE PHYSICS LETTERS, 2010, 27 (04)
[33] The Three Coefficient Matrices can Completely Determine Six Algebraically Independent Local Invariants of Three-qubit States
Yi Hu
Junling Che
[J]. International Journal of Theoretical Physics, 2020, 59 : 604 - 610
[34] One sided sequential sharing of tripartite nonlocality for pure and mixed three-qubit states
Hossain, Sk Sahadat
[J]. INDIAN JOURNAL OF PHYSICS, 2024,
[35] Entanglement dynamics in three-qubit X states
Weinstein, Yaakov S.
[J]. PHYSICAL REVIEW A, 2010, 82 (03):
[36] Control and measurement of three-qubit entangled states
Roos, CF
Riebe, M
Häffner, H
Hänsel, W
Benhelm, J
Lancaster, GPT
Becher, C
Schmidt-Kaler, F
Blatt, R
[J]. SCIENCE, 2004, 304 (5676) : 1478 - 1480
[37] Remote preparation of a class of three-qubit states
Wang, Dong
Liu, Yi-min
Zhang, Zhan-jun
[J]. OPTICS COMMUNICATIONS, 2008, 281 (04) : 871 - 875
[38] The Three Coefficient Matrices can Completely Determine Six Algebraically Independent Local Invariants of Three-qubit States
Hu, Yi
Che, Junling
[J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2020, 59 (02) : 604 - 610
[39] Separability criteria for mixed three-qubit states
Szalay, Szilard
[J]. PHYSICAL REVIEW A, 2011, 83 (06):
[40] Disentanglement of three-qubit states in a noisy environment
Huang, Jie-Hui
Wang, Li-Gang
Zhu, Shi-Yao
[J]. PHYSICAL REVIEW A, 2010, 81 (06):

← 1 2 3 4 5 →