A new family of magic state distillation protocols based on logical Clifford error checking achieves near-linear asymptotic rate despite overhead exponent exceeding one, showing the quantities are not tightly coupled in the sublinear regime.
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Borrowed-identity condition unifies numerical searches for magic-state distillation factories across Clifford hierarchy levels and code families.
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Asymptotic magic state distillation with almost linear rate
A new family of magic state distillation protocols based on logical Clifford error checking achieves near-linear asymptotic rate despite overhead exponent exceeding one, showing the quantities are not tightly coupled in the sublinear regime.
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Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search
Borrowed-identity condition unifies numerical searches for magic-state distillation factories across Clifford hierarchy levels and code families.