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QI: Fachverband Quanteninformation

QI 20: Concepts and Methods II

QI 20.1: Talk

Wednesday, March 8, 2023, 14:30–14:45, B302

Entropy and catalysis — •Henrik Wilming — Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany

I discuss the solution of the "catalytic entropy conjecture", showing that von Neumann entropy can be characterized in the following way: Non-decreasing entropy provides a necessary and sufficient condition to convert the state of a physical system into a different state by a reversible (unitary) transformation that acts on the system of interest and a further, finite-dimenaionsal, "catalyst" whose state has to remain invariant exactly under the unitary time-evolution.