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QI: Fachverband Quanteninformation

QI 11: Quantum Thermodynamics

QI 11.4: Talk

Tuesday, March 19, 2024, 10:15–10:30, HFT-TA 441

The Thermomajorization Polytope and its Degeneracies — Frederik vom Ende¹ and •Emanuel Malvetti^2,3 — ¹Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, 14195 Berlin, Germany — ²School of Natural Sciences, Technische Universität München, 85737 Garching, Germany — ³Munich Center for Quantum Science and Technology & Munich Quantum Valley, 80799 München, Germany

In quantum thermodynamics thermal operations are considered free. Our goal is to understand which states are reachable from a given initial state using thermal operations. In the quasi-classical case of diagonal states the problem reduces to understanding the thermomajorization polytope. By drawing a connection between the polytope of Gibbs-stochastic matrices and transportation polytopes we study the degeneracies of the thermomajorization polytope and as a consequence we can characterize in which cases cyclic state transfers are possible.