# introduction
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The parameter-shift rule is a workhorse for the optimization of parametrized quantum circuits. In this post, I explain how it also works in a noisy context and how we can extend it to convex combinations of quantum channels. This blog post is a summary of Appendix A of our paper A variational toolbox for quantum multi-parameter estimation 1.
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I recently gave a talk entitled Einführung in variationelle Quantenalgorithmen (Introduction to variational quantum algorithms) within the PlanQK Webinar series. The talk is in German and aimed at an audience without a particular physics background.