Research internship on bosonic quantum error correction

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Le descriptif de l’offre ci-dessous est en Anglais

Niveau de diplôme exigé : Bac + 3 ou équivalent

Fonction : Stagiaire de la recherche

Contexte et atouts du poste

More details on the research project :
Gottesman-Kitaev-Preskill codes are promising candidates for quantum error correction in bosonic platforms.

To obtain exponential error suppression with higher mode numbers single-mode codes are typically concatenated with qubit-level stabilizer codes. The hexagonal code is known to be the best single-mode code because it correspond to the lattice with the best packing constant. However, denser packings are possible in higher dimensions. This induces the question whether concatenating the optimal two- or three-mode GKP code with a stabilizer code might lead to better performances.

The main goal of this project would be a numerical exploration of the threshold improvements that would be possible with this approach, if any. For example, one might look at encoding a single qubit in a surface code and looking at the error rate scaling with the number of modes (for example through Monte Carlo simulations).

A secondary goal would be to propose native, potentially experimentally friendly, preparation and syndrome extraction techniques when the base code is higher dimensional.

Finally, the tools developed during the process might be also used to explore the meaning of fault tolerance in the context of GKP codes, as these are more sensitive (in terms of conversion of correctable to uncorrectable errors) to the operations being non-linear, rather than being non-transversal.

 

Collaboration :The successful candidate will work with Francesco Arzani and potentially in collaboration with other members of the QAT team at INRIA Paris and other members of the Franco-German ANR project BoLaCo at the Free University of Berlin.

Mission confiée

Mission

The selected candidate will carry out analytical and numerical calculations to establish the performance of concatenated GKP codes.

Principales activités

Main activities  : formalization of the problem, design of the error correcting codes, Monte-Carlo simulations of code performance

Additional activities  : dissemination of the results in scientific workshops and conferences

 

Compétences

Technical skills and level required : working knowledge of a modern programming language (Pyrhon, Julia, ...)

Languages : good English communication skills

Relational skills : willingness to work in a team

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 and flexible organization of working hours
  • Professional equipment available (videoconferencing, loan of computer equipment, etc.)
  • Social, cultural and sports events and activities
  • Access to vocational training
  • Social security coverage