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


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.





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 Ph.D. student Luc Bouten now works on this subject at the California Institute of Technology. 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 information and quantum computing, constructive quantum field theory.


Links:

Workshops organized:







Quantum information theory




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

Hyperlink to simulation program:
  • Simulation of the quantum Monty Hall problem or three doors problem


    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
    Discussions with Prof. Gerard 't Hooft:

    Science Cafe Nijmegen: beamer presentation:
    "Kan de natuur correct beschreven worden door een deterministische theorie?"
    Contains a pseudo-animation of the "Bell Game", a demonstration of the Bell inequality without an explicit formula.

    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:



    Calculus for mathematics and physics (in Dutch)

    Collegedictaat Calculus 1 en 2, 2004/2005

    Opgaven 2005/2006

    Extra opgaven Calculus 2, Kerst 2005



    Documentatie:
    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



    Opgaven Inleiding Kansrekening 2007

    Opgaven Voortgezette Kansrekening 2007


    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)

    Het tentamen is op woensdag 28 januari 2009 om 14:00 uur in zaal HG00.303.
    Er mag geen boek bij gebruikt worden.
    Klik hier voor de lijst van behandelde paragrafen in het boek van Matousek en Gaertner.

    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: March 9, 2009