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quant-ph2025
A Classification of Transversal Clifford Gates for Qubit Stabilizer Codes
Shival Dasu, Simon Burton
This work classifies stabilizer codes by the set of diagonal Clifford gates that can be implemented transversally on them. We show that, for any stabilizer code, its group of diago…
quant-ph2025
Breaking even with magic: demonstration of a high-fidelity logical non-Clifford gate
Shival Dasu, Simon Burton, Karl Mayer +7
Encoding quantum information to protect it from errors is essential for performing large-scale quantum computations. Performing a universal set of quantum gates on encoded states d…
quant-ph2024
Genons, Double Covers and Fault-tolerant Clifford Gates
Simon Burton, Elijah Durso-Sabina, Natalie C. Brown
A great deal of work has been done developing quantum codes with varying overhead and connectivity constraints. However, given the such an abundance of codes, there is a surprising…