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Trapped Ion Quantum Computing

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

arXiv
Authors: Lucy Byles, Ewan Forbes, Jiannis K. Pachos

Year

2024

Paper ID

64524

Status

Preprint

Abstract Read

~2 min

Abstract Words

92

Citations

N/A

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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  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
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  • We consider a lattice of d=6 qudits that supports mathbfD(mathbfS3) non-Abelian anyons.

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