PhD Position F/M Classical algorithms for quantum Hamiltonians

Contexte et atouts du poste

This PhD thesis will be conducted in the QINFO Inria team at ENS Lyon under the supervision of Omar Fawzi.

Mission confiée

The PhD candidate will study certified computational methods for predicting local observables in equilibrium states of quantum many-body systems, with emphasis on local Hamiltonians, finite-size approximations, convex optimization hierarchies, and rigorous convergence guarantees.

Principales activités

The work will involve developing and analyzing algorithms that produce provable upper and lower bounds, extending existing approaches to broader classes of Hamiltonians and temperature regimes, implementing numerical prototypes, testing their performance on physically relevant lattice models, and connecting the results to questions in quantum information, statistical mechanics, and mathematical physics.

Avantages