- Why space has exactly three dimensions. New
Scientist, September 2013. Discusses several approaches to
this question, including our paper 25 (see below).
- Quantum causality: information insights. Nature
Physics 8, 860 (2012). Article by Terry Rudolph on recent work
by quantum foundations colleagues, including our work on space
dimensionality and quantum theory (publications 22 and 25).
- Classical problem becomes undecidable in a quantum
featured article in "Quantum Physics", July 2012. Popular-scientific
summary of paper 23 below. See also this FQXi article
(Searching for the Impossible) from January 2015.
- And thus the quantum. Nature
Physics 7, 519 (2011) research highlights (subscription required). This
summarizes paper 18, where we show that quantum theory can be
reconstructed from five simple physical postulates.
- More discussions online: Physics
arXiv blog, John
Baez' blog, MIT
Technology Review Blog, Howard
Barnum's blog, Stack Exchange (here
Reference Frame, .
Preprints on arXiv ----(Citation statistics: Google
- M. P. Müller, A note on
"Hamiltonian for the zeros of the Riemann zeta function", arXiv:1704.04704
- J. Scharlau
and M. P. Müller, Quantum Horn's lemma,
finite heat baths, and the third law of thermodynamics, arXiv:1605.06092
- A. J. P. Garner, M. P. Müller, and O. C. O. Dahlsten, The
quantum bit from relativity of simultaneity on an interferometer, arXiv:1412.7112
Publications in refereed journals
Note: sorted according to date of publication on arXiv.org.
- M. P. Müller, S. Carrozza, and P. A. Höhn, Is the local linearity of space-time
inherited from the linearity of probabilities?, J. Phys. A:
Math. Theor. 50, 054003
(2017) (invited contribution to special issue "emerging
- M. Krumm, H. Barnum, J. Barrett, and M. P. Müller, Thermodynamics and the structure of
quantum theory, New J. Phys. 19, 043025 (2017), arXiv:1608.04461
- C. M. Bender, D. C. Brody, and M. P. Müller, Hamiltonian for the zeros of the Riemann
zeta function, Phys. Rev. Lett. 118,
130201 (2017), arXiv:1608.03679.
PRL: Editor's Suggestion.
- M. P. Müller and M. Pastena, A generalization of
majorization that characterizes Shannon entropy, IEEE
Trans. Inf. Th. 62(4),
1711-1720 (2016), arXiv:1507.06900
- P. A. Höhn and M. P. Müller, An operational approach
to spacetime symmetries: Lorentz transformations from quantum
communication, New J. Phys. 18,
063026 (2016), arXiv:1412.8462.
In NJP's "Highlights of 2016"
- M. Lostaglio, M. P. Müller, and M. Pastena, Stochastic
independence as a resource in small-scale thermodynamics, Phys.
Rev. Lett. 115, 150402 (2015), arXiv:1409.3258
PRL: Editor's Suggestion.
- H. Barnum, M. P. Müller, and C. Ududec, Higher-order
interference and single-system postulates characterizing quantum theory,
New J. Phys. 16, 123029 (2014), arXiv:1403.4147
- M. P. Müller, E. Adlam, Ll. Masanes, and N. Wiebe, Thermalization
and canonical typicality in translation-invariant quantum lattice
systems, Commun. Math. Phys. 340(2), 499-561
- G. Gour, M. P. Müller, V. Narasimhachar, R. W. Spekkens,
and N. Yunger Halpern, The resource theory of informational
nonequilibrium in thermodynamics, Physics Reports 583,
1-58 (2015), arXiv:1309.6586
- Ll. Masanes, M. P. Müller, R. Augusiak, and D.
Pérez-García, Existence of an information unit as a postulate of
quantum theory, Proc. Natl. Acad. Sci. USA 110(41),
16373 (2013), arXiv:1208.0493
- M. P. Müller, J. Oppenheim, and O. C. O. Dahlsten, The
black hole information problem beyond quantum theory, Journal of
High Energy Physics 09, 116 (2012), arXiv:1206.5030
- M. P. Müller and Ll. Masanes, Three-dimensionality of
space and the quantum bit: an information-theoretic approach, New
J. Phys. 15, 053040 (2013), arXiv:1206.0630
In NJP's "Highlights of 2013"
- Ll. Masanes, M. P. Müller, D. Pérez-García, and R.
Augusiak, Entanglement and the three-dimensionality of the Bloch
ball, J. Math. Phys. 55, 122203 (2014), arXiv:1111.4060
- J. Eisert, M. P. Müller, and C. Gogolin, Quantum
measurement occurrence is undecidable, Phys. Rev. Lett. 108,
260501 (2012), arXiv:1111.3965
- G. de la Torre, Ll. Masanes, A. J. Short, and M. P. Müller,
Deriving quantum theory from its local structure and
reversibility, Phys. Rev. Lett. 109, 090403
- M. P. Müller and C. Ududec, Structure of reversible
computation determines the self-duality of quantum theory, Phys.
Rev. Lett. 108, 130401 (2012), arXiv:1110.3516
- M. P. Müller, O. C. O. Dahlsten, and V. Vedral, Unifying
typical entanglement and coin tossing: on randomization in
probabilistic theories, Commun. Math. Phys. 316(2),
441-487 (2012), arXiv:1107.6029
- C. Gogolin, M. P. Müller, and J. Eisert, Absence of
thermalization in non-integrable systems, Phys. Rev. Lett. 106,
040401 (2011), arXiv:1009.2493
- Ll. Masanes and M. P. Müller, A derivation of quantum
theory from physical requirements, New J. Phys. 13,
063001 (2011), arXiv:1004.1483
- M. P. Müller, D. Gross, and J. Eisert, Concentration
of measure for quantum states with a fixed expectation value,
Commun. Math. Phys. 303(3), 785-824 (2011), arXiv:1003.4982
- M. Müller and D. Schleicher, How to add a noninteger
number of terms: from axioms to new identities, American
Mathematical Monthly 118(2), 136-152 (2011), arXiv:1001.4695
- N. Ay, M. Müller, and A. Szkola, Effective complexity
of stationary process realizations, Entropy 13 (6),
1200-1211 (2011), arXiv:1001.2686
- D. Gross, M. Müller, R. Colbeck, and O. C. O. Dahlsten, All
reversible dynamics in maximally non-local theories are trivial,
Phys. Rev. Lett. 104, 080402 (2010), arXiv:0910.1840
- N. Ay, M. Müller, and A. Szkola, Effective complexity
and its relation to logical depth, IEEE Trans. Inf. Th. 56(9),
4593-4607 (2010), arXiv:0810.5663
- M. Müller, Convex trace functions on quantum channels
and the additivity conjecture, Phys. Rev. A 79,
052332 (2009), arXiv:0809.4060
- M. Müller, C. Rogers, and R. Nagarajan, Lossless
quantum prefix compression for communication channels that are always
open, Phys. Rev. A 79, 012302 (2009), arXiv:0808.2003
- M. Müller, Does probability become fuzzy in small
regions of spacetime?, Phys. Lett. B 673,
166-167 (2009), arXiv:0712.4090
- M. Müller, On the quantum Kolmogorov complexity of
classical strings, Int. J. Quant. Inf. 7 (4),
701-711 (2009), arXiv:0707.2924
- M. Müller, Stationary algorithmic probability,
Theoretical Computer Science 411, 113-130 (2010), arXiv:cs.IT/0608095
- M. Müller, Strongly universal quantum Turing machines
and invariance of Kolmogorov complexity, IEEE Trans. Inf. Th. 54(2),
763--780 (2008), arXiv:quant-ph/0605030
- F. Benatti, T. Krüger, M. Müller, Ra. Siegmund-Schultze,
and A. Szkola, Entropy and quantum Kolmogorov complexity: a
quantum Brudno's theorem, Commun. Math. Phys. 265(2),
437-461 (2006), arXiv:quant-ph/0506080
- M. Müller and D. Schleicher, Fractional sums and
Euler-like identities, The Ramanujan Journal 21(2),
123-143 (2010), arXiv:math/0502109
- M. Müller and D. Schleicher, How to add a non-integer
number of terms, and how to produce unusual infinite summations,
J. Comp. Appl. Math. 178 (1-2), 347-360 (2005), download
- H. Barnum, J. Barrett, M. Krumm, and M. P. Müller, Entropy,
majorization and thermodynamics in general probabilistic theories,
Electronic Proceedings in Theoretical Computer Science 195
- M. P. Müller, J. Oppenheim, and O. C. O. Dahlsten, Hiding
information in theories beyond quantum mechanics, and its application
to the black hole information problem, Horizons of Quantum Physics
Conference Proceedings, Foundations
of Physics, Springer, 2014.
- M. P. Müller and Ll. Masanes, Information-theoretic
postulates for quantum theory, in "Quantum Theory:
Informational Foundations and Foils", G. Chiribella and R. W. Spekkens
(editors), Springer, 2016. arXiv:1203.4516
- M. Müller and C. Rogers, Quantum bit strings and
prefix-free Hilbert spaces, ITSL '08 conference proceedings. arXiv:0804.0022
- PhD thesis: Quantum Kolmogorov complexity and the
quantum Turing machine (2007), arXiv:0712.4377. Supervised
by Prof. Ruedi
Seiler, Institut für Mathematik, Technische Universität Berlin.
Grade: with distinction (summa cum laude).
- Diploma thesis: Das
Quanten-Shannon-Mc-Millan-Breiman-Theorem am Beispiel der
Heisenbergschen Spinkette (2004). Grade: very good.
Science writing by myself (about work by others)
Early research before university
- Experimental disproof of an alleged antigravity
experiment ("Schnurer's experiment"), with Josip Milanovic and
Franz-Josef Schmitt (1999).
At that time, a popular German TV broadcast claimed that a
superconductor could yield an antigravity effect in a simple
experiment. Thus, we went to the lab at University Erlangen and
reproduced the experiment. We found that Schnurer seems to have
misinterpreted a simple buoyancy effect.
- "Fractional sums": how to add a non-integer number of
terms (around 1998).
This idea led to several publications with Dierk Schleicher (for
example this one), and
made the first prize at the German youth science fair "Jugend forscht"
1998 in mathematics and computer science, together with an exceptional
prize by the Federal President.
- Higher-order arithmetic operations, and non-integer
iteration of functions (1994-1995).
The main idea is written up in a little document here. It made the second prize at "Jugend
forscht", and an exceptional prize by the Federal Chancellor.