What are advantages of a fault-tolerant qudit computation compared with fault-tolerant quantum computation for qubits?
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1$\begingroup$ This is a very broad question, can you maybe narrow it down/add some focus points? Are you interested in implementation overall, of the fault-tolerant parts specifically, or just theoretical advantages based on scaling etc? $\endgroup$– JSdJCommented Dec 15, 2020 at 15:36
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$\begingroup$ This very cool paper journals.aps.org/prl/abstract/10.1103/PhysRevLett.123.070507 shows that it is possible to achieve arbitrarily close to constant overhead for magic state distillation using prime dimensional qudits. However, as they remark in the conclusion, "It still remains an open question to show that $ \gamma $ can be made arbitrarily close to $ 0 $ for qubit based protocols." So this seems like it could be an arena for qudit advantage in fault-tolerance. $\endgroup$– Ian Gershon TeixeiraCommented Jul 24 at 20:27
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