High-fidelity initialization a logical qubit with multiple injections
arXiv:2502.02897 · doi:10.1103/PhysRevA.111.052419
Abstract
Quantum error correction represents a significant advancement in large-scale quantum computing. However, achieving fault-tolerant implementations of non-Clifford logical gates with reduced overhead remains a challenge in the popular surface code strategy. Recent advances have underscored the need for a substantial code distance to attain complete fault tolerance. Here, we introduce a continuous fault-tolerant scheme for non-Clifford logical gates via multiple injections. Unlike existing protocols that focus on a single logical chain, our approach utilizes multiple logical chains, each can employ the same or different logical rotation angles, to initialize a non-Clifford state. Compared to previous efforts, our protocol significantly alleviates the challenges associated with the requirement for a large code distance and reduces the corresponding resource overhead, making it more feasible to be implemented in current mid-scale chips via the surface code strategy.
References in corpus (9)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Surface codes: Towards practical large-scale quantum computation
- Fault-tolerant quantum computation with high threshold in two dimensions
- Quantum error correction below the surface code threshold
- Topological Order with a Twist: Ising Anyons from an Abelian Model
- Quantum computing with nearest neighbor interactions and error rates over 1%
- Magic state distillation with low overhead
- Low-distance Surface Codes under Realistic Quantum Noise
- A magic state's fidelity can be superior to the operations that created it