论文标题

斐波那契拓扑阶段

Fibonacci topological phase in arrays of anyonic chains

论文作者

Ebisu, Hiromi

论文摘要

斐波那契Anyon是一种外来的准粒子激发,在实现量子计算机的实现中起着关键作用。从$ su(2)_4 $拓扑阶段开始,在本文中,我们演示了一种构建斐波那契拓扑阶段的方法,该阶段只有一个由斐波那契描述的fibonacci Anyon所描述的一种非平凡的激发。我们表明,由$ su(2)_4 $相位的激发产生的任何链条阵列导致斐波那契阶段。我们进一步证明我们的理论命题可以扩展到其他拓扑阶段。

Fibonacci anyon, an exotic quasi-particle excitation, plays a pivotal role in realization of a quantum computer. Starting from a $SU(2)_4$ topological phase, in this paper we demonstrate a way to construct a Fibonacci topological phase which has only one non-trivial excitation described by the Fibonacci anyon. We show that arrays of anyonic chains created by excitations of the $SU(2)_4$ phase leads to the Fibonacci phase. We further demonstrate that our theoretical propositions can be extended to other topological phases.

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