Hans Maassen

Hans Maassen

Hans Maassen

Work address

Department of Mathematics
Radboud University, Nijmegen
Toernooiveld 1
6525 ED Nijmegen
The Netherlands

phone: +31-24-3652991
fax:   +31-24-3652140

email: spamfree-maassen@math.ru.nl
(If you are not a robot, please omit the suffix `spamfree-'.)

Home address

St. Annastraat 287
6525 GT Nijmegen
Married to: Marjan Meddens, (at health care center Hypericon),
Children: Ellen (1987), Bas (1989), Toon (1991), Pieter and Inge (1994).

phone: +31-24-3557629




As an associate professor in Mathematical Physics at the Mathematics department of the Radboud University Nijmegen I do research on quantum probability or non-commutative probability, a generalisation of probability theory that is broad enough to contain quantum mechanics. This work is part of 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.


Recent beamer-presentation:


Quantum probability as a tensor category
Talk at the Quantum Physics and Logic conference, Nijmegen October 27-29, 2011.

Collegedictaat Statistiek voor Biologen:


Download hier


References:


Krzysztof Majgier, Hans Maassen, Karol \.Zyczkowski:
Protected subspaces in quantum information

Quantum Information Processing, December 2009, item 13,
Published online: DOI 10.1007/s11128-009-0131-z .

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.



Links:

Workshops organized:







Quantum information theory




Multipartite entanglement


Mark-Kac-seminarium voor stochastiek en fysica: beamer presentation:
"Entanglement of completely symmetric quantum states"

Master thesis Bram Petri 2011:
"Entanglement of states with unitary and permutation symmetry"

Protected Subspaces

Krzysztof Majgier, Hans Maassen, Karol \.Zyczkowski:
Protected subspaces in quantum information

Quantum Information Processing, December 2009, item 13 (published online).

State Collapse

Bas Janssens, Hans Maassen:
Information Transfer Implies State Collapse

Journal of Physics A, Math. Gen. 39 (2006) 9845-9860.

quant-ph/0602140.


The quantum Monty Hall ("three doors") problem

Mauro D'Ariano, Richard Gill, Michael Keyl, Reinhard Werner, Burkhard Kümmerer, Hans Maassen:
The quantum Monty Hall problem

Quantum Information and Computing, 2 (2002) 355-366.
quant-ph/0202120


Entropic uncertainty relations


Hans Maassen, Jos Uffink:
Generalised entropic uncertainty relations
Physical Review Letters 60 (1988) 1103-1106.

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.


Bart van den Broek:
Entropic uncertainty relations in quantum physics

Diploma thesis, Nijmegen June 2003. Soorten


Lecture notes:


Quantum Probability, Quantum Information and Quantum Computing
Spring semester 2004.

Quantum Probability and Quantum Information
Notes for the Trieste summer school of 2006.


Quantum Probability

Fundamental issues

Aspect experiment

Science Cafe Nijmegen: beamer presentation:
"Kan de natuur correct beschreven worden door een deterministische theorie?"
Discussion with Gerard 't Hooft. Contains a pseudo-animation of the "Bell Game", a demonstration of the Bell inequality without an explicit formula.


Beamer presentation HOVO course January 2010 (in Dutch):
"Toeval en/of determinisme in de natuurwetenschap" Part II

The Bell inequality explained as a card game.


FYSICA 2008: beamer presentation:
"The case for indeterminism"


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.

Hans Maassen:
Quantum probability applied to the damped harmonic oscillator

Quantum Probability Communications XII 23-58,
eds.
S. Attal, J.M. Lindsay,
World Scientific, Singapore 2003.
(Summer School notes, Grenoble 1998.)(quant-ph/0411024)

Alberto Frigerio, Hans Maassen:
Quantum Poisson processes and dilations of dynamical semigroups

Probab. Th. Rel. Fields 83 (1989) 489-508.


Burkhard Kümmerer, Hans Maassen:
The essentially commutative dilations of dynamical semigroups on M_n

Cummun. Math. Phys. 109 (1987) 1-22.


Ergodic Theory

Hans Maassen, Burkhard Kümmerer:
Purification of quantum trajectories
(pdf)
quant-ph/0505084
Dynamics & Stochastics, Festschrift in honor of M.S. Keane (pdf of Contents.)
Lecture Notes-Monograph Series of the IMS, Vol. 48 (2006), p. 252-261.

Burkhard Kümmerer, Hans Maassen:
A pathwise ergodic theorem for quantum trajectories
(pdf)
J. Phys. A: Math. Gen. 37 (2004) 11889-11896.
quant-ph/0406213

Burkhard Kümmerer, Hans Maassen:
An ergodic theorem for quantum counting processes
(Postscript)
J. Phys. A 36 (2003) 1-7. (pdf) Dyson series

Burkhard Kümmerer, Hans Maassen:
An ergodic theorem for repeated and continuous measurement

Extended abstract in proceedings Mini-workshop MaPhySto, October 1999.

Burkhard Kümmerer, Hans Maassen:
A scattering theory for Markov Chains

Infinite Dimensional Analysis, Quantum Probability and Related Topics, 3 (2000) 161-176.

Hans Maassen, Madalin Guta, Dmitri Botvich:
Stability of Bose dynamical systems and branching theory

Preprint, May 1999.
A Galton-Watson estimate for Dyson series
Ann. Henri Poincare 10 (2009), 1141-1158.


Applications to Quantum Optics

Luc Bouten, Madalin Guta, Hans Maassen:
Stochastic Schrödinger Equations

Journ. Phys. A: Mathematics and General 37 (2004) 3189--3209

Luc Bouten, Hans Maassen, Burkhard Kümmerer:
Constructing the Davies process of resonance fluorescence with quantum stochastic calculus

Optics and Spectroscopy 94 (2003) 911-919,
From: Optica i Spektroskopia 94 (2003) 976-984 (in english).

Thomas Wellens, Andreas Buchleitner, Burkhard Kümmerer, Hans Maassen:
Quantum state preparation via asymptotic completeness

Phys. Rev. Lett. 85 (2000) 3361-3364


Noise and Second Quantization

Madalin Guta, Hans Maassen:
Symmetric Hilbert spaces arising from species of structures

Mathematische Zeitschrift 239 (2002) 477-513

Madalin Guta, Hans Maassen:
Generalised Brownian motion and second quantisation

Journal of Functional Analysis 191 2 (2002) 241-275

Hans Maassen, Hans van Leeuwen:
The q-harmonic oscillator in a lattice model

Journal of Mathematical Physics 39 (1998) 6424-6440.

Hans Maassen, Hans van Leeuwen:
A q-Deformation of the Gauss distribution

Journal of Mathematical Physics 36 (1995) 725-741.

Hans Maassen, Hans van Leeuwen:
An obstruction for q-deformation of the convolution product

Journal of Physica A: Math. Gen. 29(1996) 4741-4778.


Free Probability

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



Applications of Probability



Rene Tolboom, Nico Dam, Hans ter Meulen, Joris Mooij, Hans Maassen:
Quantative imaging through a spectrograph - 1: principles & theory

Applied Optics, Vol. 43 Issue 30 (October 2004) 5669.

Sander Nabuurs, Chris Spronk, Elmar Krieger, Hans Maassen, Gert Vriend, Geerten Vuister:
Quantitative evaluation of experimental NMR constraints

J. Am. Chem. Soc. 125 (2003) 12026-12034.

Hans Maassen, Thom Bezembinder:
Generating random weak orders and the probability of a Condorcet winner

Social Choice and Welfare 19 (2002) 517-532.










Teaching:



Information Theory:

Dictaatje over Shannon-entropie.


Statistiek voor Informatiekunde

Dictaat 2010.


Calculus for mathematics and physics (in Dutch)

Collegedictaat Calculus 1 en 2, 2004/2005
Proeftentamen Calculus 1, 2002
Tentamen Calculus 1 (4 november 2003)
---> Uitwerking Tentamen Calculus 2 (20 januari 2004)
---> Uitwerking
Tentamen Calculus 1 (8 november 2004)
---> Uitwerking Tentamen Calculus 1 (8 november 2005)
---> Uitwerking


Probability for mathematics, physics and computer science (in Dutch)

Collegedictaat Inleiding Kansrekening, 2007/2008, tweede kwartaal
Collegedictaat Inleiding Kansrekening + Voortgezette Kansrekening 2006/2007, eerste en tweede kwartaal (pdf)
Collegedictaat Voortgezette Kansrekening 2007, eerste kwartaal

Proeftentamen Voortgezette Kansrekening (uit 2001)
Proeftentamen Voortgezette Kansrekening (uit 2006)
Proeftentamen Voortgezette Kansrekening (uit 2008)


Proeftentamen Inleiding Kansrekening (1) met UITWERKING
Proeftentamen Inleiding Kansrekening (2)

Linear Programming (in Dutch)


week 1 (donderdag 13 november)
week 2 (donderdag 20 november)
week 3 (donderdag 27 november)
week 4 (donderdag 4 december)
week 5 (donderdag 11 december)
week 6 (donderdag 18 december)
week 7 (donderdag 8 januari)
week 8 (donderdag 15 januari)

Applied Mathematics 2: Modeling Class 2008


week 1 (vrijdag 6 februari)
week 2 (vrijdag 13 februari)

Numerical Methods


Introduction to Matlab 2007
Exercises Matlab
Introduction to Numerical Methods 2007
Lecture notes 2007



Stochastic Processes


Opgaven Stochastische Processen 2009



Tentamen Stochastische Processen 2009




Applied Mathematics


Description program modeling class 2008 (in Dutch).

Dictaatje Lineaire Programmering
Dictaatje Entropie en Codering
Dictaatje Stochastische Koeling
Dictaatje Kalmanfilter
Opgave Toegepaste Wiskunde 20 december 2007
Opgaven Toegepaste Wiskunde 17 januari 2008
Opgaven Toegepaste Wiskunde 14 februari 2008
Opgaven Toegepaste Wiskunde 28 februari 2008 Soorten

Special topic in the `highlights' program (in Dutch):
Joyal's Combinatorial Species

(SEE FIGURE--->)

Joyal's Combinatorial Species


Stochastic Analysis

Lecture notes
Written with Frank den Hollander and Hans van Leeuwen
August 2000


Quantum Probability, Quantum Information and Quantum Computing

Lecture notes spring semester, 2004.


Quantum Probability Theory

Lecture notes 1998



Photographs Maassen family 2003

Photographs 1-6




Last modified: October 11, 2011