Dynamics of Majorana-based qubits operated with an array of tunable gates

Dynamics of Majorana-based qubits operated with an array of tunable gates
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DOI:
10.21468/scipostphys.5.1.004
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发表时间:
2018-07-01
期刊:
影响因子:
5.5
通讯作者:
Alicea, Jason
Alicea, Jason
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Bauer, Bela;Karzig, Torsten;Alicea, Jason

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我们研究的动力学马约拉纳零模式穿梭通过局部调谐的电化学电位在超导导线。通过对微观晶格模型进行随时间变化的模拟,我们发现与移动的Majorana模式相关的非绝热修正可以通过一个简单的Landau-Zener描述定量捕获。我们进一步模拟了一个特定的量子位设计中的拉比振荡协议,在一个单一的线中有四个马约拉纳零模式,并量化了在这种设置中执行量子位操作的时间尺度上的约束。我们的模拟利用马约拉纳表示的系统,这大大简化了模拟超导体在平均场水平。
We study the dynamics of Majorana zero modes that are shuttled via local tuning of the electrochemical potential in a superconducting wire. By performing time-dependent simulations of microscopic lattice models, we show that diabatic corrections associated with the moving Majorana modes are quantitatively captured by a simple Landau-Zener description. We further simulate a Rabi-oscillation protocol in a specific qubit design with four Majorana zero modes in a single wire and quantify constraints on the timescales for performing qubit operations in this setup. Our simulations utilize a Majorana representation of the system, which greatly simplifies simulations of superconductors at the mean-field level.