Partial Syndrome Measurement for Hypergraph Product Codes

Understand

Hypergraph product codes are a promising avenue to achieving fault-tolerant quantum computation with constant overhead.

• When embedding these and other constant-rate qLDPC codes into 2D, a significant number of nonlocal connections are required, posing difficulties for some quantum computing architectures.
• In this work, we introduce a fault-tolerance scheme that aims to alleviate the effects of implementing this nonlocality by measuring generators acting on spatially distant qubits less frequently than those which do not.
• We investigate the performance of a simplified version of this scheme, where the measured generators are randomly selected.