Experiments with the 4D Surface Code on a QCCD Quantum Computer

Abstract

Single-shot quantum error correction has the potential to speed up quantum computations by removing the need for multiple rounds of syndrome extraction in order to be fault-tolerant. Using Quantinuum's H2 trapped-ion quantum computer, we implement the [[33,1,4]] 4D surface code and perform the first experimental demonstration of single-shot quantum error correction with bare ancilla qubits. We conduct memory experiments comparing the 2D and 4D surface codes and find that despite differences in qubit use and syndrome extraction circuit depth, the 4D surface code matches or outperforms the 2D surface code in both the fault-tolerant and single-shot regimes.

v2: Accepted to PRA. Added referee suggestions

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Cited by in corpus (10)

• Qutrit Toric Code and Parafermions in Trapped Ions
• Low-density parity-check codes as stable phases of quantum matter
• Fault-Tolerant Stabilizer Measurements in Surface Codes with Three-Qubit Gates
• Quantum Circuit Discovery for Fault-Tolerant Logical State Preparation with Reinforcement Learning
• Single-shot and measurement-based quantum error correction via fault complexes
• Fundamental thresholds for computational and erasure errors via the coherent information
• Single-shot preparation of hypergraph product codes via dimension jump
• Non-Abelian Self-Correcting Quantum Memory and Transversal Non-Clifford Gate beyond the $n^{1/3}$ Distance Barrier
• Towards self-correcting quantum codes for neutral atom arrays
• Universal quantum computation via scalable measurement-free error correction