I am a professor in Probability and Statistics at the
Mathematics department
of the
Radboud University Nijmegen
and a full professor of Quantum Probability and Quantum Information at the
University of Amsterdam.
This research field,
quantum probability
or non-commutative probability,
concerns a generalisation of probability theory that is broad enough to
contain quantum mechanics.
I take part in the Geometry and Quantum Theory
(GQT)
research cluster of connected universities in the Netherlands.
In collaboration with
Burkhard Kümmerer
we are developing the theory of quantum Markov chains,
their asymptotic completeness and ergodic theory,
with applications to quantum optics.
Our focal point is shifting towards quantum information and control theory,
an area which is rapidly becoming relevant to experimental physicists.
My former collaborator
Madalin Guta
works on quantum statistics.
I teach probability, linear programming,
stochastic processes and stochastic analysis, and mathematical modeling.
Special topics: quantum probability theory.
Entanglement of completely symmetric quantum states
Talk at the QP-NGC-QI conference, Edinburgh, January 18, 2012,
and at the London Mathematical Society Midlands Regional Workshop
"Quantum Probabilistic Symmetries"
in Aberystwyth, Wales, September 4, 2012.
Quantum Probability and Quantum Information
In: Quantum Information, computation and cryptography,
(eds. Fabio Benatti, Mark Fannes, Roberto Floreanini, Dimitri Petritis),
Springer Lecture Notes in Physics 808, 2010.
Workshop on Quantum Information Theory,
Singapore August 12-30, 2013,
in the programme on
Mathematical Horizons for Quantum Physics 2
, August-October 2013,
of the Institute of Mathematical Sciences,
National University of Singapore.
Workshop on Operator Algebras in Quantum Information,
Singapore August 11-31, 2008,
in the programme on
Mathematical Horizons for Quantum Physics
, July-September 2008,
of the Institute of Mathematical Sciences,
National University of Singapore.
On the mathematical derivation of the
entropic uncertainty relation:
Hans Maassen:
A discrete entropic uncertainty relation
Quantum Probability and Applications V,
Lecture Notes in Mathematics 1442,
Eds. L. Accardi, W. von Waldenfels,
Springer (1988) 263-266.
Burkhard Kümmerer, Hans Maassen:
Elements of Quantum Probability
Quantum Probability Communications, X (1998) 73-100,
eds. R.L. Hudson, J.M. Lindsay,
World Scientific, Singapore, 1998.
Burkhard Kümmerer, Hans Maassen:
A scattering theory for Markov Chains
Infinite Dimensional Analysis, Quantum Probability and Related Topics,
3 (2000) 161-176.
Hans Maassen:
Addition of freely independent random variables
Journal of Functional Analysis 106 (1992) 409-438. The above is a scanned version of the article as it appeared, including figures.
The scanning quality is poor, that of the following preprint version,
without figures, is better:
Preprint version Abstract
