
Quantum just published a viewpoint of mine on great work of Banchi and Crooks on a stochastic parametershift rule.

Like many other scientists, I typeset my document using LaTeX. In this post, I give some useful hints to make your documents nicer, covering protected whitespaces, abbreviations and math formula tweaks!

The biasvariance decomposition allows one to decompose the contributions to the meansquared error of an estimator into two parts, the variance stemming from the fluctuations of the prediction and the bias measuring the deviation of the expected value of the prediction from the true value. While being a very straightforward relation, it allows fundamental insight into necessary tradeoffs when constructing estimators. In this post I show how to derive the biasvariance decomposition in the multivariate setting motivated by a use case in quantum metrology and talk a bit about Stein’s paradox.

The parametershift 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 multiparameter estimation ^{1}.

I’m proud to share my first paper as a firstauthor: In A variational toolbox for quantum multiparameter estimation, me and my coauthors Johannes Borregaard and Jens Eisert provide a variational quantum algorithm to optimize sensing protocols for quantum multiparameter estimation.

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.