Optimal control of Majorana zero modes
Optimal control of Majorana zero modes
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DOI：
10.1103/physrevb.91.201404
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发表时间：
2014-12
影响因子：
3.7
通讯作者：
Torsten Karzig;Armin Rahmani;F. Oppen;G. Refael
中科院分区：
文献类型：
--
作者：
Torsten Karzig;Armin Rahmani;F. Oppen;G. Refael
Majorana零模的编织为量子信息处理提供了一个很有前途的平台，该平台具有拓扑保护以防止错误。然而，严格地说，该方案依赖于无限编织时间，因为它利用绝热极限。在这里，我们将展示如何通过找到一个最佳的协议，马约拉纳运动，以尽量减少非绝热误差有限编织时间。有趣的是，这些协议的特点是马约拉纳运动在最大和最小速度之间的急剧转变。我们发现，这些所谓的bang-bang协议可以最小化系统的非绝热跃迁的数量级相比，天真的协议。
Braiding of Majorana zero modes provides a promising platform for quantum information processing, which is topologically protected against errors. Strictly speaking, however, the scheme relies on infinite braiding times as it utilizes the adiabatic limit. Here we show how to minimize nonadiabatic errors for finite braiding times by finding an optimal protocol for the Majorana movement. Interestingly, these protocols are characterized by sharp transitions between Majorana motion at maximal and minimal velocities. We find that these so-called bang-bang protocols can minimize the nonadiabatic transitions of the system by orders of magnitude in comparison with naive protocols.