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Interpolating Abelian and Non-Abelian Codes for Non-Clifford Operations

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BIDW02 - Diving Deeper into Defects: On the Intersection of Field Theory, Quantum Matter, and Mathematics

Implementing logical non-Clifford gates efficiently remains a major challenge for universal fault-tolerant quantum computing, especially in high-threshold codes like the surface code. In this talk, I will present a framework that includes code switching and hybrid lattice surgery between Abelian and non-Abelian topological codes. I will show how these techniques provide non-Clifford operations in the standard surface code, either through magic-state generation or non-Clifford gate teleportation.

This talk is part of the Isaac Newton Institute Seminar Series series.

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