I just finished a run on IBM's Heron r1 processor (ibm_torino).
Standard QEC (Surface Code) fails at this depth because the gate error rate (~2%) is above the threshold. Instead of correction, I implemented a distributed consensus protocol (Majority Vote) using a 10-qubit Star Topology.
Raw Fidelity: 68.09%
Corrected Fidelity: 98.85%
It’s effectively a "Self-Healing" logical qubit. The repo has the raw telemetry and the bimodal error graph.
I believe this is the software bridge we need while we wait for hardware error rates to drop below 0.1%. Happy to answer questions about the topology.
westurner•6h ago
FWIU this surface coding (2D) trick probably won't be necessary with layer coding (3D), but there would probably also be value in creating 3D star topologies with layer coding for vias between layers for example.
A 3D lattice of stars with layer coding would probably be more topologically protected
dnalang•10h ago
Standard QEC (Surface Code) fails at this depth because the gate error rate (~2%) is above the threshold. Instead of correction, I implemented a distributed consensus protocol (Majority Vote) using a 10-qubit Star Topology.
It’s effectively a "Self-Healing" logical qubit. The repo has the raw telemetry and the bimodal error graph.I believe this is the software bridge we need while we wait for hardware error rates to drop below 0.1%. Happy to answer questions about the topology.