Methods and benchmarks for error mitigation on noisy quantum computers

Quantum error mitigation refers to a set of techniques which improve computational performance (with respect to noise) with minimal overhead in quantum resources. This is generally achieved by mapping an input quantum circuit to a set of related quantum circuits, then sampling from these circuits and classically combining the results. In this presentation, we discuss contributions to the theory of error mitigation [1], show benchmark results on noisy quantum computers [1-2], and introduce our software package, Mitiq, for error mitigation [2]. In particular, we show how zero-noise extrapolation can be performed at the digital level and generalize inference techniques for extrapolation. We present benchmarks of multiple error mitigation techniques on IBM and Rigetti quantum processors, then finish with more details on our open-source package, Mitiq.

[1] T Giurgica-Tiron et al, arxiv.org/abs/2005.10921.
[2] R LaRose et al, arxiv.org/abs/2009.04417.