Research internship on bosonic quantum error correction
Level of qualifications required : Bachelor's degree or equivalent
Fonction : Internship Research
Context
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.
Assignment
Mission
The selected candidate will carry out analytical and numerical calculations to establish the performance of concatenated GKP codes.
Main activities
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
Skills
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
Benefits package
- 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
General Information
- Theme/Domain :
Algorithmics, Computer Algebra and Cryptology
Information system (BAP E) - Town/city : Paris
- Inria Center : Centre Inria de Paris
- Starting date : 2025-03-01
- Duration of contract : 5 months
- Deadline to apply : 2024-12-29
Warning : you must enter your e-mail address in order to save your application to Inria. Applications must be submitted online on the Inria website. Processing of applications sent from other channels is not guaranteed.
Instruction to apply
Defence Security :
This position is likely to be situated in a restricted area (ZRR), as defined in Decree No. 2011-1425 relating to the protection of national scientific and technical potential (PPST).Authorisation to enter an area is granted by the director of the unit, following a favourable Ministerial decision, as defined in the decree of 3 July 2012 relating to the PPST. An unfavourable Ministerial decision in respect of a position situated in a ZRR would result in the cancellation of the appointment.
Recruitment Policy :
As part of its diversity policy, all Inria positions are accessible to people with disabilities.
Contacts
- Inria Team : CASCADE
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Recruiter :
Arzani Francesco / francesco.arzani@inria.fr
The keys to success
Required skills
- a strong background in quantum physics
- willingness to work in a team
Desired skills
- previous exposition to the theory of quantum error correction, quantum optics
About Inria
Inria is the French national research institute dedicated to digital science and technology. It employs 2,600 people. Its 200 agile project teams, generally run jointly with academic partners, include more than 3,500 scientists and engineers working to meet the challenges of digital technology, often at the interface with other disciplines. The Institute also employs numerous talents in over forty different professions. 900 research support staff contribute to the preparation and development of scientific and entrepreneurial projects that have a worldwide impact.