Demonstration of magic state power of $\mathbf{D}(\mathbf{S}_{3})$ anyons with two qudits
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866918187104206848 |
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| author | Byles, Lucy Forbes, Ewan Pachos, Jiannis K. |
| author_facet | Byles, Lucy Forbes, Ewan Pachos, Jiannis K. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03377 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Demonstration of magic state power of $\mathbf{D}(\mathbf{S}_{3})$ anyons with two qudits Byles, Lucy Forbes, Ewan Pachos, Jiannis K. Quantum Physics 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. |
| title | Demonstration of magic state power of $\mathbf{D}(\mathbf{S}_{3})$ anyons with two qudits |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2408.03377 |