Keppens, JamesJamesKeppensEggerickx, QuintenQuintenEggerickxLevajac, VukanVukanLevajacSimion, GeorgeGeorgeSimionSoree, BartBartSoree2026-04-272026-04-2720252469-9926https://imec-publications.be/handle/20.500.12860/59197Qudits can be described by a state vector in a 𝑞-dimensional Hilbert space, enabling a more extensive encoding and manipulation of information compared to qubits. This implies that conducting fault-tolerant quantum computations using qudits rather than qubits might entail less overhead. In this work, we investigate the viability of qudits in error-correction codes by creating and simulating the quantum circuitry for the smallest qudit error-correction code with a multidimensional circuit-level noise model and specifically adapted decoders. After introducing a flag qudit to protect the code from hook errors, comparable error thresholds of the order of 10−4 are obtained for qudits of dimensions 2, 3, and 5.engJournal article10.1103/2w52-qd2jWOS:001582038500003QUANTUM COMPUTATION