Zero noise extrapolation on logical qubits by scaling the error correction code distance

Understand

In this work, we migrate the quantum error mitigation technique of Zero-Noise Extrapolation (ZNE) to fault-tolerant quantum computing.

• We employ ZNE on logically encoded qubits rather than physical qubits.
• This approach will be useful in a regime where quantum error correction (QEC) is implementable but the number of qubits available for QEC is limited.
• Apart from illustrating the utility of a traditional ZNE approach (circuit-level unitary folding) for the QEC regime, we propose a novel noise scaling ZNE method specifically tailored to QEC: distance scaled ZNE (DS-ZNE).