PhD Position in Logical and Categorical Analysis of Heisenberg-Schrödinger Duality

il y a 1 jour


GifsurYvette, Île-de-France INRIA Temps plein
Job Description

Context and Key Features of the Position

This PhD position is funded by the ANR and is part of the Plan Quantique project.

The PhD candidate will join the QuaCS team at the LMF laboratory on the Plateau de Saclay.

The PhD advisors are Benoit Valiron and Vladimir Zamdzhiev.

Main Objectives of the PhD Project

The main goals of this PhD project are to interpret the Heisenberg-Schrödinger duality in a computational and/or logical context.

A possible plan for the thesis could be to study relevant categories of operator spaces and show that such categories are models of (fragments of) linear logic.

Additionally, the PhD candidate will design type systems (or, equivalently, logics) where the linear negation of linear logic can be understood in terms of the Heisenberg-Schrödinger duality.

Finally, the PhD candidate will derive a computational interpretation from these ideas.

Main Activities

  • Perform bibliographic analysis
  • State and prove theoretical results
  • Publish and Communicate results

Additional Activities

  • Participate in team's and lab's seminars
  • Travel to Summer Schools and other scientific events to gain scholar maturity

Required Skills and Competences

Technical skills and level required: Master level in theoretical computer science, with good communication and writing skills.

Languages: French or English.

Relational skills: We expect the candidate to participate in the life of the team and of the lab in general.

Other values appreciated: The candidate should abide by the standard of open science.

Benefits

  • 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

Salary

1st and 2nd year: 2082€ gross/month



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