Majorana phase gate based on the geometric phase

Andrzej Wieckowski; Marcin Mierzejewski; Michal Kupczynski

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Majorana phase gate based on the geometric phase

机译：Majorana相位门基于几何相位

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We study the dynamics of a single qubit encoded in two pairs of Majorana modes, whereby each pair is hosted on a trijunction described by the Kitaev model extended by many-body interactions. We demonstrated that the challenging phase gate may be efficiently implemented via braiding of partially overlapping modes. Although such a qubit acquires both geometric and dynamical phases during the braiding protocol, the latter phase may be eliminated if the Majorana modes are hosted by systems with appropriate particle-hole symmetry.

机译：我们研究了以两对Majorana模式编码的单个qubit的动力学，其中每一对都托管在Kitaev模型所描述的三结点上，该结点通过多体交互作用扩展。我们证明了具有挑战性的相位门可以通过编织部分重叠模式来有效地实现。尽管这样的量子位在编织协议中同时获得了几何和动态两个相位，但是如果Majorana模式由具有适当粒子-孔对称性的系统托管，则可以消除后一个相位。

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来源
《Physical review》 |2020年第1期|014504.1-014504.10|共10页
作者
Andrzej Wieckowski; Marcin Mierzejewski; Michal Kupczynski;
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Department of Theoretical Physics Faculty of Fundamental Problems of Technology Wroclaw University of Science and Technology PL-50370 Wroclaw Poland;

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专利

1. Majorana phase gate based on the geometric phase [J] . Physical review, B . 2020,第1期

机译：基于几何相位的Majorana相门
2. Connecting Majorana phases to the geometric parameters of the Majorana unitarity triangle in a neutrino mass matrix model [J] . Surender Verma, Shankita Bhardwaj Physical review, D . 2018,第9aPta2期

机译：将Majorana阶段连接到中微子大规模矩阵模型中的Majorana Unitarity三角形的几何参数
3. Connecting Majorana phases to the geometric parameters of the Majorana unitarity triangle in a neutrino mass matrix model [J] . Surender Verma, Shankita Bhardwaj Physical review, D . 2018,第9期

机译：在中微子质量矩阵模型中将马约拉纳相连接到马约拉纳geometric三角形的几何参数
4. A spin phase gate based on optically generated geometric phases in a self-assembled quantum dot [C] . Kim, Erik D., Truex, Katherine, Xu, Xiaodong, CLEO;Conference on Lasers and Electro-Optics;Quantum Electronics and Laser Science Conference;QELS . 2010

机译：基于自组装量子点中光学生成的几何相位的自旋相位门
5. Bulk and Surface Correspondence through Geometric Phases in Classical Wave systems. [D] . Xiao, Meng. 2014

机译：经典波系统中通过几何相位的体和表面对应。
6. Photonic implementation of Majorana-based Berry phases [O] . Jin-Shi Xu, Kai Sun, Jiannis K. Pachos, 2018

机译：基于马里亚纳邦的贝里相的光子实现
7. Majorana phase gate based on the geometric phase [O] . Andrzej Więckowski, Marcin Mierzejewski, Michał Kupczyński 2020

机译：基于几何相位的Majorana相门
8. Spin Phase Gate Based on Optically Generated Geometric Phases in a Self- Assembled Quantum Dot. [R] . Kim, E. D., Truex, K., Xu, X., 2011

机译：基于光学生成的自组装量子点几何相位的自旋相位门。

Majorana phase gate based on the geometric phase

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