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Quantum Error Correction Fault Tolerance Quantum Simulation

Qutrit codes within representations of SU(3)

arXiv

Authors: Xzavier Herbert, Jonathan Gross, Michael Newman

Year

2023

Paper ID

6390

Status

Preprint

Abstract Read

~2 min

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Abstract

We describe a quantum error-detecting and error-correcting code embedded within irreducible representations of SU(3). These logical qutrits inherit the He(3) symmetries induced by the representation, while protecting against small SU(3) displacements. We explore the general methodology for finding codes from structure-inducing representations of groups, together with symmetries inherited from finite subgroups, extending the case of spin representations of SU(2).

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This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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We describe a quantum error-detecting and error-correcting code embedded within irreducible representations of SU(3).

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2312.00162 [2] arXiv https://arxiv.org/abs/2312.00162 [3] Publisher https://arxiv.org/abs/2312.00162

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