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Magic-state distillation with the four-qubit code

2 Pith papers cite this work. Polarity classification is still indexing.

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abstract

The distillation of magic states is an often-cited technique for enabling universal quantum computing once the error probability for a special subset of gates has been made negligible by other means. We present a routine for magic-state distillation that reduces the required overhead for a range of parameters of practical interest. Each iteration of the routine uses a four-qubit error-detecting code to distill the +1 eigenstate of the Hadamard gate at a cost of ten input states per two improved output states. Use of this routine in combination with the 15-to-1 distillation routine described by Bravyi and Kitaev allows for further improvements in overhead.

fields

quant-ph 2

years

2026 1 2025 1

verdicts

UNVERDICTED 2

representative citing papers

Local distillation from Reed Muller codes unfolding

quant-ph · 2026-05-07 · unverdicted · novelty 6.0

Local 2D and 3D Reed-Muller distillation factories achieve output infidelities down to 8.256e-9 for CCZ states and 1.1811e-17 for T states from 10^{-3} input infidelity.

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