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Distilling one-qubit magic states into Toffoli states

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arxiv 1212.4872 v2 pith:4AVGYVFV submitted 2012-12-19 quant-ph

classification quant-ph
keywords toffolimagicstatesdistillationone-qubitgatesalgorithmsarchitectures
verification ladder T0 review T1 audit T2 compute T3 formal
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For certain quantum architectures and algorithms, most of the required resources are consumed during the distillation of one-qubit magic states for use in performing Toffoli gates. I show that the overhead for magic-state distillation can be reduced by merging distillation with the implementation of Toffoli gates. The resulting routine distills 8 one-qubit magic states directly to a Toffoli state, which can be used without further magic to perform a Toffoli gate.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search

    quant-ph 2026-06 unverdicted novelty 7.5 of 10

    Borrowed-identity condition unifies numerical searches for magic-state distillation factories across Clifford hierarchy levels and code families.

  2. Device-Independent Self-Testing of the Three-Qubit CCZ Hypergraph State

    quant-ph 2026-07 accept novelty 6.0 of 10

    The CCZ hypergraph state and its Pauli measurements can be device-independently self-tested from twenty correlators, and also from maximal violation of a specially constructed Bell inequality.

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