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THU: Thursday Contributed Sessions

THU 2: Quantum Information: Concepts and Methods I

THU 2.4: Talk

Thursday, September 11, 2025, 15:00–15:15, ZHG002

Relative entropy of magic — •Carolin Deckers, Justus Neumann, Hermann Kampermann, and Dagmar Bruß — Heinrich-Heine Universität Düsseldorf, Germany

We investigate the relative entropy of magic for a single qubit and for two qubits. Although the relative entropy of resource has favorable properties, it is difficult to compute in general. We apply the partial results derived for the relative entropy of entanglement [Friedland, Gour, J. Math. Phys. 52, 052201 (2011)] to the resource theory of magic. In the single-qubit case, we analyze the geometric behavior and derive an approximate analytic expression for identifying the closest stabilizer state to a pure magic state. We further investigate the two-qubit case by explicitly treating a minimal set of facets.

Keywords: Relative entropy; Magic; Resource theory