Constant-Overhead Fault-Tolerant Bell-Pair Distillation using High-Rate Codes

Understand

We present a fault-tolerant Bell-pair distillation scheme achieving constant overhead through high-rate quantum low-density parity-check (qLDPC) codes.

• Our approach maintains a constant distillation rate equal to the code rate while requiring no additional overhead beyond the physical qubits of the code.
• Full circuit-level analysis demonstrates fault-tolerance for input Bell pair infidelities below a threshold $\sim 10\%$, readily achievable with near-term capabilities.
• Unlike previous proposals, our scheme keeps the output Bell pairs encoded in qLDPC codes at each node, eliminating un-encoding overhead and enabling direct use in distributed quantum applications through recent advances in qLDPC computation.