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valbert4 committed Jul 31, 2024
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Expand Up @@ -102,7 +102,7 @@ features:
- 'Logical Clifford gates can be performed by physical Clifford circuits that permute logical Pauli operators \cite{arxiv:1803.06987}.'
- 'With pieceable fault-tolerance, any \hyperref[topic:degeneracy]{non-degenerate} stabilizer code with a complete set of fault-tolerant single-qubit Clifford gates has a universal set of non-transversal fault-tolerant gates \cite{arxiv:1603.03948}.'
- 'Gates in the \term{Clifford hierarchy} can be done using \textit{gate teleportation}, in which a gate can be obtained from a particular \textit{magic state} \cite{arxiv:quant-ph/9908010,arxiv:quant-ph/0002039}. Such protocols can be made fault tolerant with the help of magic-state distillation \cite{arxiv:quant-ph/0403025,arxiv:quant-ph/0410199}. There exist various performance metrics for magic-state distillation \cite{arxiv:quant-ph/9806094,arxiv:1807.10296,arxiv:1901.03322,arxiv:1904.01124}. Gate errors in magic-state distillation protocols can sometimes add up destructively \cite{arxiv:1612.01011}. The Hadamard gate cannot be obtained from a magic state \cite{arxiv:2312.03515}. A magic state arising from a generalized controlled \(Z\) gate is a type of hypergraph state \cite{arxiv:1211.5554,arxiv:1404.6492,arxiv:1410.3904} (see \cite{arxiv:2310.16982,arxiv:2404.19005}).'
- 'Certain operations can be implemented in a fault-tolerant version \cite{arxiv:0806.0875,arxiv0904.2143} of holonomic quantum computation \cite{arxiv:quant-ph/9904011}.'
- 'Certain operations can be implemented in a fault-tolerant version \cite{arxiv:0806.0875,arxiv:0904.2143} of holonomic quantum computation \cite{arxiv:quant-ph/9904011}.'
- 'Magic-state distillation and circuit compilation based on the SWAP test \cite{arxiv:1403.5280}.'
- 'Logical circuit synthesis (LCS) taking in a code and a logical Clifford operation and producing a circuit acting on the physical qubits \cite{arxiv:1907.00310}.'
- 'Clifford stabilizer circuits can be compiled using tableaux manipulation \cite{arxiv:2404.19408}.'
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