Experimental realization of a deterministic universal gate set for finite-energy GKP logical qubits encoded in two motional modes of a trapped ion.

Key Results

  • Energy-preserving single-logical-qubit gates with process fidelity as high as 0.960
  • First two-logical-qubit GKP entangling gate, with CZ process fidelity of 0.680
  • Direct GKP Bell-state preparation from vacuum with logical state fidelity of 0.842
  • Optimal spin–motion control preserves the finite-energy envelope of the GKP code words

Verification

Title and first-author metadata were checked through Crossref, and the complete author order was checked against the arXiv PDF title page on 2026-10-18.