2025/02/09 by James Keppens, Keppens, James, Quinten Eggerickx +7 · 5 citations
Computer Science · Engineering · #Error Correcting Code Techniques #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Physics (quant-ph) #Radiation Effects in Electronics
paper · pdf · doi:10.48550/arxiv.2502.05992
openalex publication_date 2025/02/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Qudits 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.