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Quantum Error Correction Fault Tolerance

Generalised All-Optical Cat Correction

arXiv
Authors: Ari John Boon, Olivier Landon-Cardinal, Nicolás Quesada

Year

2026

Paper ID

22406

Status

Preprint

Abstract Read

~2 min

Abstract Words

113

Citations

N/A

Abstract

We have generalised an all-optical telecorrection protocol for the higher orders of the cat code, and show that with these higher orders we can achieve target performance at substantially reduced iteration counts at the cost of a higher mean photon-number. We also introduce a probabilistic scheme for correcting deformation of the state, which highlights two interesting abilities of telecorrection: to encode new sets of transformations, and to change the basis of the code. We find that for a target channel fidelity of 99.9\% over a channel with 1 dB of loss, a third-order cat code requires 70 times fewer telecorrection iterations than a first-order one, at a cost of a 3.6-fold increase in mean photon-number.

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  • This paper contributes to the Quantum Error Correction & Fault Tolerance research area in the Quantum Articles archive.
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  • We have generalised an all-optical telecorrection protocol for the higher orders of the cat code, and show that with these higher orders we can achieve target performance at...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2603.03263 [2] arXiv https://arxiv.org/abs/2603.03263 [3] Publisher https://arxiv.org/abs/2603.03263

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