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arXiv · 2408.03377

Demonstration of magic state power of $\mathbf{D}(\mathbf{S}_{3})$ anyons with two qudits

Lucy Byles·Ewan Forbes·Jiannis K. Pachos
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Abstract

We consider a lattice of $d=6$ qudits that supports $\mathbf{D}(\mathbf{S}_3)$ non-Abelian anyons. We present a method for implementing both braiding and fusion evolutions using only the operators that create and measure anyons, without requiring additional dynamical control. This provides a minimal protocol demonstrating that $\mathbf{D}(\mathbf{S}_3)$ anyons can generate magic states, thereby establishing their universality for quantum computation. Furthermore, we show that the entire scheme can be encoded in just two qudits, offering a compact blueprint that is inherently scalable and readily implementable in current quantum platforms.

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Lucy Byles, Ewan Forbes, Jiannis K. Pachos. 2024-08-06. Demonstration of magic state power of $\mathbf{D}(\mathbf{S}_{3})$ anyons with two qudits. https://arxiv.org/abs/2408.03377

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