Offer description: The Mathematical Institute of SAS offers a PhD position for research in quantum information theory, under supervision of Anna Jenčová http://www.mat.savba.sk/~jencova/index.html. The study is organized in cooperation with the Faculty of Mathematics, Physics and Informatics, Comenius University, Bratislava. The topic of study is the following:
Title: Quantum channels and higher order maps
Abstract: Quantum channels describe most general physically allowed transformations between quantum systems. The framework of higher order maps (HOMs) allows a more detailed study of general quantum protocols, such as channel measurements, channel transformations, channels with memory, etc. Nowadays there is an increasing interest in understanding the structure and properties of HOMs. Possible goals of the proposed thesis include the study of the mathematical structure of HOMs from different points of view, like operator theory, category theory, linear algebra or convex geometry. We will focus on nonclassical properties of HOMs, e.g. incompatibility or indefinite causal order, their classification, consequences and possible advantages in information processing.
Position requirements: The position requires a MSc. degree or equivalent in mathematics or physics. A good background in mathematics is necessary.
For more information, see https://musavsrv.mat.savba.sk/phdstudy.htm. Further questions at anna.jencova@mat.savba.sk.
Application requirements: Interested applicants should send the following materials to mathinst@mat.savba.sk:
- a CV including a list of publications (if any), with emphasis on the scientific results of the applicant
- motivation letter
- A copy of bachelor and master degree diploma (can be provided later if not yet available)
- two academic recommendation letters, sent directly by the referee to mathinst@mat.savba.sk
Formal applications at the university are submitted only after approval by the supervisor and provisional acceptance at our institute. Further admissions procedures follow the rules of Comenius University.
Application deadline: CET 23:59, April 10, 2026.
