Topologically protected braiding in a single wire using Floquet Majorana modes
Topologically protected braiding in a single wire using Floquet Majorana modes
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DOI：
10.1103/physrevb.100.041102
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发表时间：
2019-07-03
影响因子：
3.7
通讯作者：
Oreg, Yuval
中科院分区：
文献类型：
--
作者：
Bauer, Bela;Pereg-Barnea, T.;Oreg, Yuval
Majorana零模是一种很有前途的拓扑保护量子信息处理平台。它们的非阿贝尔性质，这是执行量子门的关键，最突出的表现是通过编织。虽然最初是为二维系统制定的，但已经表明，编织也可以通过形成基本上二维的网络使用一维线来实现。在这里，我们表明，在远离平衡的驱动系统中，人们可以完全取消第二维空间，而不是使用准能作为第二维空间。为了实现这一点，我们使用Floquet拓扑超导体，它可以表现出马约拉纳模式的两个特殊的本征值的演化算子，0和π，从而可以实现四个马约拉纳模式在一个单一的，驱动的量子线。我们描述和数值评估的协议，实现了一个拓扑保护的交换两个马约拉纳零模式在一个单一的线通过自动调制的Floquet驱动器，并使用π模式作为辅助自由度。
Majorana zero modes are a promising platform for topologically protected quantum information processing. Their non-Abelian nature, which is key for performing quantum gates, is most prominently exhibited through braiding. While originally formulated for two-dimensional systems, it has been shown that braiding can also be realized using one-dimensional wires by forming an essentially two-dimensional network. Here, we show that in driven systems far from equilibrium, one can do away with the second spatial dimension altogether by instead using quasienergy as the second dimension. To realize this, we use a Floquet topological superconductor which can exhibit Majorana modes at two special eigenvalues of the evolution operator, 0 and pi, and thus can realize four Majorana modes in a single, driven quantum wire. We describe and numerically evaluate a protocol that realizes a topologically protected exchange of two Majorana zero modes in a single wire by adiabatically modulating the Floquet drive and using the pi modes as auxiliary degrees of freedom.