Probabilistic error cancellation for dynamic quantum circuits

TL;DR

This paper extends probabilistic error cancellation to dynamic quantum circuits with measurements and feedforward operations, providing a new method to mitigate errors in near-term quantum computing.

Contribution

It introduces a framework for applying PEC to measurement-based dynamic circuits, including noise modeling and mitigation strategies for superconducting processors.

Findings

Effective error mitigation in dynamic circuits demonstrated

Noise modeling accounts for measurement crosstalk

Protocols show promising performance in experiments

Abstract

Probabilistic error cancellation (PEC) is a technique that generates error-mitigated estimates of expectation values from ensembles of quantum circuits. In this work we extend the application of PEC from unitary-only circuits to dynamic circuits with measurement-based operations, such as mid-circuit measurements and classically-controlled (feedforward) Clifford operations. Our approach extends the sparse Pauli-Lindblad noise model to measurement-based operations while accounting for non-local measurement crosstalk in superconducting processors. Our mitigation and monitoring experiments provide a holistic view for the performance of the protocols developed in this work. These capabilities will be a crucial tool in the exploration of near-term dynamic circuit applications.