The Bloch representation for qudits: overview and applications

Abstract: The Bloch representation for qubits is taught in every basic quantum mechanics course and for a good reason. It manages to visualise and elegantly describe important features of two-dimensional Hilbert spaces. Going to higher-dimensional or multipartite systems, the visualisation is of course more challenging, but a lot of convenient properties remain and can also be used to derive various results in quantum information. I will give a brief overview of the Bloch representation for qudits, showcase its most important properties and present two simple, yet powerful, applications in entanglement theory and entropy inequalities.

mathematical physicsfunctional analysis

Audience: researchers in the topic

Functional Analysis and Operator Theory Webinar

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