Noise-tailored Constructions for Spin Wigner Function Kernels

Abstract

The effective use of noisy intermediate-scale quantum devices requires error mitigation to improve the accuracy of sampled measurement distributions. The more accurately the effects of noise on these distributions can be modeled, the more closely error mitigation will be able to approach theoretical bounds. The characterisation of noisy quantum channels and the inference of their effects on general observables are challenging problems, but in many cases a change in representation can greatly simplify the analysis. Here, we investigate spin Wigner functions for multi-qudit systems. We generalise previous kernel constructions, capturing the effects of several probabilistic unitary noise models in few parameters.