Single-shot error mitigation by coherent Pauli checks

Understand

Generating samples from the output distribution of a quantum circuit is a ubiquitous task used as a building block of many quantum algorithms.

• Here we show how to accomplish this task on a noisy quantum processor lacking full-blown error correction for a special class of quantum circuits dominated by Clifford gates.
• Our approach is based on Coherent Pauli Checks (CPCs) that detect errors in a Clifford circuit by verifying commutation rules between random Pauli-type check operators and the considered circuit.
• Our main contributions are as follows.