Veranstaltungen
- Mittwoch, 18.09.2024, 15:15 Uhr (WIAS-405-406)
- Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (Langenbach-Seminar)
Dr. Dimitri Loutchko, University of Tokyo, Japan:
Information geometrical entropy production decompositions in chemical reaction networks
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Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Abstrakt
Recently, information geometry has emerged as a framework to naturally connect the geometries appearing in the theory of chemical reaction networks (CRNs) to their inherent thermodynamical and dynamical properties. The classical Legendre duality in chemical thermodynamics between the spaces of chemical concentrations and potentials, which is induced by the convex potential functions, leads to a pair of dually flat Riemannian manifolds. This talk will be focused on the dynamical aspects which are described by attaching vector bundles of flux and force vectors to the concentration and potential spaces. The essence of the information geometrical framework is that these two bundles, again, constitute dually flat Riemannian manifolds, whereby the Legendre duality is induced by dissipation functions which are obtained from macroscopic fluctuation theory. By applying generalized notions of orthogonality in information geometry, two decompositions of the entropy production rate are obtained, each of which captures gradient-flow and minimum-dissipation aspects in nonequilibrium dynamics. Furthermore, it is shown how the framework naturally fits the thermodynamic uncertainty relations for CRN into a geometrical perspective as a comparison of Riemannian metric tensors. From this, another information geometrical entropy production rate decomposition is derived.
Weitere Informationen
Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Veranstalter
Humboldt-Universität zu Berlin
WIAS Berlin
- Mittwoch, 18.09.2024, 10:00 Uhr (WIAS-405-406)
- Seminar Numerische Mathematik
Albert J. Pool, Deutsches Zentrum für Luft- und Raumfahrt e.V.:
Nonlinear dynamics as a ground-state solution on quantum computers
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Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Abstrakt
For the solution of time-dependent nonlinear differential equations, we present variational quantum algorithms (VQAs) that encode both space and time in qubit registers. The spacetime encoding enables us to obtain the entire time evolution from a single ground-state computation. We describe a general procedure to construct efficient quantum circuits for the cost function evaluation required by VQAs. To mitigate the barren plateau problem during the optimization, we propose an adaptive multigrid strategy. The approach is illustrated for the nonlinear Burgers equation. We classically optimize quantum circuits to represent the desired ground-state solutions, run them on IBM Q System One and Quantinuum System Model H1, and demonstrate that current quantum computers are capable of accurately reproducing the exact results.
Veranstalter
WIAS Berlin
- Dienstag, 17.09.2024, 10:15 Uhr (WIAS-406)
- Seminar Nichtlineare Optimierung und Inverse Probleme
Prof. Dr. Masahiro Yamamoto, University of Tokyo, Japan:
Inverse problems for time-fractional diffusion-wave equations
mehr ... Veranstaltungsort
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Weierstraß-Hörsaal (Raum: 406)
Veranstalter
WIAS Berlin