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Measurement-only quantum computation with Floquet Majorana corner modes

机译：Floquet Majorana角模式的仅测量量子计算

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摘要

Majorana modes, typically arising at the edges of one-dimensional topological superconductors, are considered to be a promising candidate for encoding nonlocal qubits in fault-tolerant quantum computing. Here we exploit the two-dimensional geometry of Majorana corner modes in second-order topological superconductors to establish measurement-only quantum computation. It is shown that eight Majorana corner modes emerge when such systems are periodically driven, through which two nonlocal logical qubits and one nonlocal ancilla qubit can be constructed. Quantum gate operations can then be implemented by a designed series of parity measurements of topologically protected Majorana corner modes, accomplished via Mach-Zehnder type interference in the conductance between different comers of a second-order topological superconductor. Our theoretical proposal represents a scenario in which topologically protected single- and two-qubit gate operations can be carried out in a minimal setup, thus potentially establishing an efficient and low-cost building block for Majorana-based qubit architectures.
机译：Majorana模式通常出现在一维拓扑超导体的边缘，被认为是在容错量子计算中编码非局部量子位的有前途的候选者。在这里，我们利用二阶拓扑超导体中Majorana角模的二维几何来建立仅测量的量子计算。结果表明，当周期性地驱动这样的系统时，会出现八种马里亚纳角模式，通过它们可以构造两个非局部逻辑量子位和一个非局部辅助量子位。然后，可以通过对二阶拓扑超导体不同角之间的电导进行Mach-Zehnder型干涉，对拓扑受保护的Majorana角模式进行一系列设计的奇偶性测量，从而实现量子门操作。我们的理论建议提出了一种场景，其中可以在最小的设置中执行拓扑受保护的单量子比特和两个量子比特的门操作，从而有可能为基于Majorana的量子比特架构建立高效且低成本的构建块。

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  • 来源
    《Physical review》 |2020年第8期|085401.1-085401.18|共18页
  • 作者

    Raditya Weda Bomantara; Jiangbin Gong;

  • 作者单位

    Department of Physics National University of Singapore Singapore 117543 Centre for Engineered Quantum Systems School of Physics University of Sydney Sydney New South Wales 2006 Australia;

    Department of Physics National University of Singapore Singapore 117543;

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