PhD Position F/M Classical algorithms for quantum Hamiltonians

A propos du centre ou de la direction fonctionnelle

The Inria research centre in Lyon is the 9th Inria research centre, formally created in January 2022. It brings together approximately 410 people in 20 research teams and research support services.

Its staff are distributed in Villeurbanne, Lyon Gerland, and Saint-Etienne.

The Lyon centre is active in the fields of software, distributed and high-performance computing, embedded systems, quantum computing and privacy in the digital world, but also in digital health and computational biology.

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

• Subsidized meals
• Partial reimbursement of public transport costs
• Leave: 7 weeks of annual leave + 10 extra days off due to RTT (statutory reduction in working hours) + possibility of exceptional leave (sick children, moving home, etc.)
• Possibility of teleworking (90 days / year) and flexible organization of working hours
• Social, cultural and sports events and activities
• Access to vocational training
• Social security coverage