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valbert4 committed Nov 28, 2024
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Certain gates can be performed adiabatically \cite{arxiv:1406.2690,arxiv:1411.4248}, yielding an instance of holonomic quantum computation \cite{arxiv:quant-ph/9904011}.
Fault-tolerant gates should be interpretable as monodromies under a particular notion of parallel transport \cite{arxiv:1309.7062}.
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A combination of fold-transversal gates, Dehn twists and single-shot logical Pauli measurements generates the logical \hyperref[topic:clifford]{Clifford group} \cite{arxiv:2411.18287}.
fault_tolerance:
- 'Transversal (non-Clifford) CCZ gate by bringing 2D surface codes together and using just-in-time decoding \cite{arxiv:1903.11634}.
Gate can be simulated by taking 2D slices out of 3D surface codes \cite{arxiv:2012.08536}.'
- 'Transversal (non-Clifford) CCZ gate by bringing 2D surface codes together and using just-in-time decoding \cite{arxiv:1903.11634}. Gate can be simulated by taking 2D slices out of 3D surface codes \cite{arxiv:2012.08536}.'
- 'Flag fault-tolerant syndrome extraction \cite{arxiv:1708.02246}.'
- 'Homomorphic measurement protocols for arbitrary surface codes \cite{arxiv:2211.03625}.'
- 'Non-geometrically local connectivity can reduce overhead cost \cite{arxiv:2211.15465}.'
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