Related papers: Qudit lattice surgery

Qudit lattice surgery

URL: http://arxiv.org/abs/2204.13228v3
Date: Thu, 30 Jun 2022 22:40:00 GMT
Title: Qudit lattice surgery
Authors: Alexander Cowtan
Abstract summary: We observe that lattice surgery, a model of fault-tolerant qubit computation, generalises straightforwardly to arbitrary finite-dimensional qudits. We relate the model to the ZX-calculus, a diagrammatic language based on Hopf-Frobenius algebras.
Score: 91.3755431537592
License: http://creativecommons.org/licenses/by/4.0/
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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