Non-Abelian off-diagonal geometric phases in nano-engineered four-qubit systems

被引：1

作者：

Mousolou, Vahid Azimi ^{[1
]}

Canali, Carlo M. ^{[1
]}

Sjoqvist, Erik ^{[2
,3
]}

机构：

[1] Linnaeus Univ, Dept Phys & Elect Engn, S-39182 Kalmar, Sweden

[2] Uppsala Univ, Dept Quantum Chem, SE-75120 Uppsala, Sweden

[3] Natl Univ Singapore, Ctr Quantum Technol, Singapore 117543, Singapore

来源：

EPL | 2013年 / 103卷 / 06期

基金：

新加坡国家研究基金会;

关键词：

D O I：

10.1209/0295-5075/103/60011

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The concept of off-diagonal geometric phase (GP) has been introduced in order to recover interference information about the geometry of quantal evolution where the standard GPs are not well defined. In this letter, we propose a physical setting for realizing non-Abelian off-diagonal GPs. The proposed non-Abelian off-diagonal GPs can be implemented in a cyclic chain of four qubits with controllable nearest-neighbor interactions. Our proposal seems to be within reach in various nano-engineered systems and therefore opens up for the first experimental test of the non-Abelian off-diagonal GP. Copyright (C) EPLA, 2013

引用

页数：5

共 7 条

[1] Non-Abelian generalization of off-diagonal geometric phases
Kult, D.
Aberg, J.
Sjoqvist, E.
[J]. EPL, 2007, 78 (06)
[2] Non-Abelian geometric phases in periodically driven systems
Novicenko, Viktor
Juzeliunas, Gediminas
[J]. PHYSICAL REVIEW A, 2019, 100 (01)
[3] Abelian and non-Abelian geometric phases in adiabatic open quantum systems
Sarandy, M. S.
Lidar, D. A.
[J]. PHYSICAL REVIEW A, 2006, 73 (06):
[4] Detecting non-Abelian geometric phases with three-level Λ systems
Du, Yan-Xiong
Xue, Zheng-Yuan
Zhang, Xin-Ding
Yan, Hui
[J]. PHYSICAL REVIEW A, 2011, 84 (03):
[5] Comment on "Detecting non-Abelian geometric phases with three-level Λ systems"
Ericsson, Marie
Sjoqvist, Erik
[J]. PHYSICAL REVIEW A, 2013, 87 (03):
[6] Bargmann invariants and off-diagonal geometric phases for multilevel quantum systems: A unitary-group approach
Mukunda, N
Arvind
Chaturvedi, S
Simon, R
[J]. PHYSICAL REVIEW A, 2002, 65 (01) : 121021 - 1210210
[7] All-electric qubit control in heavy hole quantum dots via non-Abelian geometric phases
Budich, J. C.
Rothe, D. G.
Hankiewicz, E. M.
Trauzettel, B.
[J]. PHYSICAL REVIEW B, 2012, 85 (20):

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