A, B, C of three-qubit entanglement: three vectors to control it all

被引：0
|
作者：
Uskov, Dmitry B. [1 ,2 ]
Alsing, Paul M. [3 ]
机构：
[1] Brescia Univ, Dept Math & Nat Sci, Owensboro, KY 42301 USA
[2] Tulane Univ, Dept Phys & Engn Phys, New Orleans, LA 70118 USA
[3] Air Force Res Lab, Informat Directorate, Rome, NY 13441 USA
来源：
CANADIAN JOURNAL OF PHYSICS | 2025年 / 103卷 / 02期
关键词：
qubit; entanglement; quantum control; Lie groups; three-tangle;
D O I：
10.1139/cjp-2023-0254
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we are focusing on entanglement control problem in a three-qubit system. We demonstrate that vector representation of entanglement, associated with SO(6) representation of SU(4) two-qubit group, can be used to solve various control problems analytically including (i) the transformation between a W-type states and GHZ state, and (ii) manipulating bipartite concurrences and three-tangle under a restricted access to only two qubits, and (iii) designing USp(4)-type quaternionic operations and quantum states.
引用
收藏
页码：148 / 163
页数：16
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