Extends bosonic quantum error correction beyond qubits to higher-dimensional GKP-encoded qudits.

Key Results

  • Demonstrates beyond-break-even quantum error correction for bosonic qutrits and ququarts.
  • Reports logical gains of for qutrits and for ququarts.
  • Shows that higher-dimensional encoding inside a single oscillator can improve hardware efficiency without abandoning error correction.

Verification

Title and first-author metadata were checked through Crossref, and the complete author order was checked against the paper title page on 2026-10-28.