New quantum error correction method uses ‘many-hypercube codes’ while exhibiting beautiful geometry

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 […]

Novel error-correction scheme developed for quantum computers

Science Daily  March 11, 2020 Bosonic rotation codes are based on phase-space rotation symmetry. Researchers in Australia present a universal quantum computing scheme applicable to a subset of this class which includes the well-known cat and binomial codes, among many others. The entangling gate in the scheme code can be used to interface different rotation-symmetric encodings. They propose a teleportation-based error-correction scheme that allows recoveries to be tracked entirely in software. Numerically have shown that the error-correction scheme is close to optimal for error-free ancillae and ideal measurements and present a scheme for fault-tolerant, universal quantum computing based on the […]