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Trapped Ion Quantum Computing

Catalytic Quantum Error Correction: Theory, Efficient Catalyst Preparation, and Numerical Benchmarks

arXiv
Authors: Hikaru Wakaura

Year

2026

Paper ID

39125

Status

Preprint

Abstract Read

~2 min

Abstract Words

111

Citations

0

Abstract

We introduce Catalytic Quantum Error Correction (CQEC), a state recovery protocol exploiting catalytic covariant transformations. CQEC recovers a known target state from noisy copies without an error magnitude threshold: recovery succeeds whenever the coherent modes satisfy mathcal{C}\(ρ0\) subseteq mathcal{C}\(ρnoisy\), regardless of noise strength. The main practical bottleneck - catalyst preparation requiring n^* sim d4 e2γ copies - is resolved by a three-stage pipeline combining CPMG dynamical decoupling, Clifford twirling, and the recursive swap test, achieving Fcat > 0.96 with only 8 copies $109$-fold reduction. Numerical validation across four quantum algorithms $d = 4$--$64$, a cryptographic protocol, and three noise models confirms F > 0.999 in the asymptotic limit across 200 configurations.

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  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
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  • We introduce Catalytic Quantum Error Correction (CQEC), a state recovery protocol exploiting catalytic covariant transformations.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2603.25774 [2] arXiv https://arxiv.org/abs/2603.25774 [3] Publisher https://arxiv.org/abs/2603.25774

Local Citation Graph (Related-Paper Links)

Current Paper #39125 #69039 SAT, MaxSAT, and SMT for QLDPC ... #69038 Physically Constrained Ensemble... #69023 Scalable Quantum Algorithms for... #69016 Solution of the Equation-of-Mot...

External citation index: OpenAlex citation signal • updated 2026-06-14 08:21:41

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