Phys.org  September 6, 2024 Standard approaches to quantum error correction for fault-tolerant quantum computing result in asymptotically zero encoding rates and huge resource overheads. Researchers in Japan proposed concatenated high-rate small-size quantum error-detecting codes as a family of high-rate quantum codes. Their structure allowed for a geometrical interpretation using hypercubes corresponding to logical qubits. Using their method of many-hypercube codes they realized both high rates, e.g., 30% (64 logical qubits are encoded into 216 physical ones), and parallelizability of logical gates. Developing dedicated decoder and encoders, achieved high error thresholds even in a circuit-level noise model. According to the researchers […]