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arXiv · 2204.13228

Qudit lattice surgery

Alexander Cowtan
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Abstract

We observe that lattice surgery, a model of fault-tolerant qubit computation, generalises straightforwardly to arbitrary finite-dimensional qudits. The generalised model is based on the group algebras $\mathbb{C}\mathbb{Z}_d$ for $d \geq 2$. It still requires magic state injection for universal quantum computation. We relate the model to the ZX-calculus, a diagrammatic language based on Hopf-Frobenius algebras.

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Alexander Cowtan. 2022-04-27. Qudit lattice surgery. https://arxiv.org/abs/2204.13228

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