Error message
- Deprecated function: TYPO3\PharStreamWrapper\Manager::initialize(): Implicitly marking parameter $resolver as nullable is deprecated, the explicit nullable type must be used instead in include_once() (line 19 of includes/file.phar.inc).
- Deprecated function: TYPO3\PharStreamWrapper\Manager::initialize(): Implicitly marking parameter $collection as nullable is deprecated, the explicit nullable type must be used instead in include_once() (line 19 of includes/file.phar.inc).
- Deprecated function: TYPO3\PharStreamWrapper\Manager::__construct(): Implicitly marking parameter $resolver as nullable is deprecated, the explicit nullable type must be used instead in include_once() (line 19 of includes/file.phar.inc).
- Deprecated function: TYPO3\PharStreamWrapper\Manager::__construct(): Implicitly marking parameter $collection as nullable is deprecated, the explicit nullable type must be used instead in include_once() (line 19 of includes/file.phar.inc).
- Deprecated function: UpdateQuery::expression(): Implicitly marking parameter $arguments as nullable is deprecated, the explicit nullable type must be used instead in require_once() (line 1884 of includes/database/database.inc).
- Deprecated function: MergeQuery::expression(): Implicitly marking parameter $arguments as nullable is deprecated, the explicit nullable type must be used instead in require_once() (line 1884 of includes/database/database.inc).
- Deprecated function: SelectQueryInterface::getArguments(): Implicitly marking parameter $queryPlaceholder as nullable is deprecated, the explicit nullable type must be used instead in require_once() (line 1884 of includes/database/database.inc).
- Deprecated function: SelectQueryInterface::preExecute(): Implicitly marking parameter $query as nullable is deprecated, the explicit nullable type must be used instead in require_once() (line 1884 of includes/database/database.inc).
- Deprecated function: SelectQueryExtender::getArguments(): Implicitly marking parameter $queryPlaceholder as nullable is deprecated, the explicit nullable type must be used instead in require_once() (line 1884 of includes/database/database.inc).
- Deprecated function: SelectQueryExtender::preExecute(): Implicitly marking parameter $query as nullable is deprecated, the explicit nullable type must be used instead in require_once() (line 1884 of includes/database/database.inc).
- Deprecated function: SelectQuery::getArguments(): Implicitly marking parameter $queryPlaceholder as nullable is deprecated, the explicit nullable type must be used instead in require_once() (line 1884 of includes/database/database.inc).
- Deprecated function: SelectQuery::preExecute(): Implicitly marking parameter $query as nullable is deprecated, the explicit nullable type must be used instead in require_once() (line 1884 of includes/database/database.inc).
PhD position in Quantum information theory at the Mathematical Institute of SAS, Bratislava
Offer description: The Mathematical Institute of SAS
in Bratislava 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. Possible topics are the following:
- Relative entropies in quantum information theory.
Relative entropy is one of the fundamental concepts in information
theory. These quantities describe operational characteristics of optimal
procedures in various types of information-theoretic tasks, but also
serve as an important mathematical tool. The class of quantum relative
entropies is much richer than the classical counterpart and many of the
possible quantities, their interpretations and mutual relations are not
fully investigated. We focus on various versions of quantum Rényi
relative entropies and their extensions, such as to infinite dimensions
or for quantum channels, as well as their possible operational
interpretations.
- Quantum channels and higher order maps
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.
The position requires a MSc. degree or equivalent in mathematics, or
physics, but a good background in mathematics is necessary.
For more information, see https://musavsrv.mat.savba.sk/phdstudy.htm
and
https://fmph.uniba.sk/en/admissions/admissions-process/doctoral-degree-a...
Application requirements: Interested applicants should send the
following materials to anna.jencova@mat.savba.sk:
- a CV including a list of publications (if any), with emphasis on the
scientific results of the applicant
- motivation letter
- two academic recommendation letters (should be sent directly by the
recommending person)
Further documents will be requested from selected candidates.
The deadline for application submission is CET 23:59, April 20,
2025.
