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.
CultivatingTstates on the surface code with only two-qubit gates
4 Pith papers cite this work. Polarity classification is still indexing.
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A new cultivation protocol prepares reusable logical catalysts as eigenstates of high-period Clifford circuits to implement exact Z^{2^{-b}} phase gates with constant online depth in surface codes.
Generalizes phase kickback checks for √T magic state cultivation in doubled color code, reports simulation consistency with S state performance, and outlines lattice surgery escape strategy.
Compares resource costs of logical T-state preparation via distillation, cultivation, and code switching using native metrics from existing literature plus a Shor factoring case study.
citing papers explorer
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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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Cultivating logical catalysts for fault-tolerant dyadic phase rotations
A new cultivation protocol prepares reusable logical catalysts as eigenstates of high-period Clifford circuits to implement exact Z^{2^{-b}} phase gates with constant online depth in surface codes.
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Efficient Magic State Cultivation for $\sqrt{T}$ Gates
Generalizes phase kickback checks for √T magic state cultivation in doubled color code, reports simulation consistency with S state performance, and outlines lattice surgery escape strategy.
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A Resource Comparison of Logical T-State Preparation
Compares resource costs of logical T-state preparation via distillation, cultivation, and code switching using native metrics from existing literature plus a Shor factoring case study.