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Two-years postdoc on random tensors and free probability (M/F)

CNRS

France

Sur place

EUR 30 000 - 50 000

Plein temps

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Résumé du poste

A leading research institution in France is seeking a First Stage Researcher to develop the theory of free probability for random tensors, with potential applications in quantum information. Candidates should have relevant research experience and are expected to submit a CV, cover letter including a research statement, and recommendation letters. The role offers 44 vacation days per year, access to a university restaurant, and partial transportation cost reimbursement.

Prestations

44 days of vacation per year
University restaurant for lunch
Partial reimbursement of transportation tickets

Qualifications

  • Experience with free probability theory required.
  • Familiarity with random tensors and quantum information appreciated.

Responsabilités

  • Develop theory of free probability for random tensors.
  • Apply theory to quantum information.

Connaissances

Research experience in free probability theory
Knowledge about random tensors
Knowledge in quantum information theory
Description du poste

Organisation/Company CNRS Department Laboratoire de Physique Research Field Mathematics History » History of science Researcher Profile First Stage Researcher (R1) Country France Application Deadline 11 Dec 2025 - 00:00 (UTC) Type of Contract Temporary Job Status Full-time Hours Per Week 35 Offer Starting Date 1 Oct 2026 Is the job funded through the EU Research Framework Programme? Not funded by a EU programme Is the Job related to staff position within a Research Infrastructure? No

Offer Description

Development of the theory of free probability for random tensors (references below), and potentially application to quantum information.

References
  • Collins, Gurau, Lionni - Free cumulants and freeness for unitarily invariant random tensors - 2410.00908
  • Nechita, Park - Tensor free probability theory: asymptotic tensor freeness and central limit theorem - 2504.01782
  • Bordenave, Bonnin - Freeness for tensors - 2407.18881
  • Kunisky, Moore, Wein - Tensor cumulants for statistical inference on invariant distributions - 2404.18735
  • Lancien, Oliveira Santos, Youssef - Central Limit Theorem for tensor products of free variables - 2404.19662
Tasks
  • Development of the theory of free probability for random tensors (main task)
  • Application to quantum information: random quantum states, randomized measurements... (secondary task)
Application Information

Application deadline December 10, 2025. Documents recquired: a CV, a cover letter that must include a research statement (past and on going research), and two recommandation letters, to be sent directly at the mail address: postdoc-applications-lionni@ens-lyon.fr.

Start Date

Starting date expected in the fall 2026. No teaching duties.

Benefits
  • 44 days of vacation per year
  • a university restaurant for lunch during weekdays
  • partial reimbursement of transportation tickets (75%) + up to 300€/year to cover the cost of a "sustainable" transport (such as a bicycle)
Qualifications
  • Research experience in free probability theory and on random matrices
  • Knowledge about random tensors and/or quantum information theory is non-mandatory but appreciated.
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