Fault-tolerant quantum architectures based on erasure qubits

Understand

The overhead of quantum error correction (QEC) poses a major bottleneck for realizing fault-tolerant computation.

• To reduce this overhead, we exploit the idea of erasure qubits, relying on an efficient conversion of the dominant noise into erasures at known locations.
• We start by introducing a formalism for QEC schemes with erasure qubits and express the corresponding decoding problem as a matching problem.
• Then, we propose and optimize QEC schemes based on erasure qubits and the recently-introduced Floquet codes.