


Research interests
For an overview, please see the pages of my research
group at IQOQI Vienna.
Citation
statistics: Google
Scholar.
Media coverage
 The Born rule has been derived from simple
physical principles. Quanta
magazine, February 2019. Discusses publication
51 below (with Lluís Masanes and Thomas Galley), and
related work by Adán Cabello. See also the article on
Science
Alert, two blog posts in English language (#1 and
#2),
and piqd.de.
There is also an excellent description of our work in
German by Martin Bäker on his blog "Hier
wohnen Drachen".
 Faster than allowed by quantum computing?
(Answer: no!) Marius' and my publication 49 below has
received some media attention, including the Austrian
newspaper Der
Standard (see also here
and here),
APA,
Tiroler
Tageszeitung, BrightSurf.com,
R&D
Magazine, Health
Medicine Network (yes, that's somewhat
surprising...), phys.org,
Space
Daily, innovationsreport,
newswise,
EurekAlert!
and others. Note that our work builds very strongly on
earlier work, ideas, and insights by Lluís Masanes,
Gonzalo de la Torre, and Tony Short (see in particular
publication 29 below).


This ‘zeroworlds’ theory might just be crazy
enough to be true. Interview
with "Essentia Foundation", July 2021, on my approach
summarized in paper 54 below. See also the New
Scientist title story of November 2017, and New
Scientist, January 2020 on "reality". There is
also a Less
Wrong blog post and this FQXi
article from January 2019, and an article in the
Israeli newspaper Haaretz.
For a first introduction to this approach, feel
free to have a look at this
seminar talk on YouTube. Further posts include
one by Ian
Durham (FQXi) and a mention on a blog on Learning
Machines.
 Our results on the BerryKeating conjecture
(paper 43) have been greatly exaggerated by some media
(e.g. the
Wire), which in turn has led to criticism (e.g.
here).
To clarify: no, our work will almost certainly not
lead to significant progress on the Riemann
conjecture! But we think it is an interesting insight,
and its main observation is fully
mathematically rigorous. See also Nature
Physics, the
Reference Frame, phys.org,
Quanta
magazine, Spektrum
der Wissenschaft.
 Quantum perspective. New
Scientist, February 5, 2022. Describes our
result (publication 40) on deriving the Lorentz
transformations from properties of quantum
communication, and how they have inspired recent work
by Flavio Mercati and Giovanni AmelinoCamelia.
 Why space has exactly three dimensions.
New
Scientist, September 25, 2013. Discusses some
approaches towards this question, including our
publication 32 below.
 Quantum causality: information insights.
Nature
Physics
8, 860 (2012). Article by Terry Rudolph on
recent work by the quantum foundations community,
including our work on the structure of space and
quantum theory (publications 29 and 32).
 Classical problem becomes undecidable in a
quantum setting. Phys.org,
July 2012. Popularscientific description of
publication 30 below. See also this FQXi
article (Searching for the Impossible) from
January 2015, and see the related independent and more
extensive works by Toby Cubitt, David PérezGarcía and
Michael Wolf, including this
amazing result.
 And thus the quantum. Nature
Physics 7, 519 (2011) research highlights. This
features our publication 25, where we show that the
Hilbert space formalism of quantum theory can be
reconstructed from five simple
physical/informationtheoretic postulates.
 More discussions online: Jess
Riedel's blog, Physics
arXiv
blog, John
Baez'
blog, Howard
Barnum's
blog, Stack Exchange (here
and here),
forum.intelligence.org,
Компьютерное
Обозрение.
Preprints on arXiv
 K. J. McQueen, I. T. Durham, and M. P. Müller, Building
a quantum superposition of conscious states with
integrated information theory, arXiv:2309.13826
 Ll. Masanes, T. D. Galley, and M. P. Müller, Response
to "The measurement postulates of quantum mechanics
are not redundant", arXiv:2309.01650
 C. L. Jones, S. L. Ludescher, A. Aloy, and M. P.
Müller, Theoryindependent randomness generation
with spacetime symmetries, arXiv:2210.14811
 A. de la Hamette, T. D. Galley, P. A. Höhn, L.
Loveridge, and M. P. Müller, Perspectiveneutral
approach to quantum frame covariance for general
symmetry groups, arXiv:2110.13824
Peerreviewed publications
 M. P. Müller and A. J. P. Garner, Testing
Quantum Theory by Generalizing Noncontextuality,
Phys. Rev. X 13, 041001 (2023), arXiv:2112.09719
 M. Krumm and M. P. Müller, Free Agency and
Determinism: Is There a Sensible Definition of
Computational Sourcehood?, Entropy 25(6),
903 (2023), arXiv:2101.12033
 A. de la Hamette, S. L. Ludescher, and M. P. Müller,
Entanglementasymmetry correspondence for internal
quantum reference frames, Phys. Rev. Lett. 129,
260404 (2022), arXiv:2112.00046
 P. A. Höhn, M. Krumm, and M. P. Müller, Internal
quantum reference frames for finite Abelian groups,
J. Math. Phys. 63, 112207 (2022), arXiv:2107.07545
 R. D. Baldijão, M. Krumm, A. J. P. Garner, and M. P.
Müller, Quantum Darwinism and the spreading of
classical information in nonclassical theories,
Quantum 6, 636 (2022), arXiv:2012.06559
 M. Krumm, P. A. Höhn, and M. P. Müller, Quantum
reference frame transformations as symmetries and
the paradox of the third particle, Quantum 5,
530 (2021), arXiv:2011.01951
 G. Chiribella, A. Cabello, M. Kleinmann, and M. P.
Müller, General Bayesian theories and the
emergence of the exclusivity principle, Phys.
Rev. Research 2, 042001(R) (2020), arXiv:1901.11412
 M. P. Müller, Law without law: from observer
states to physics via algorithmic information theory,
Quantum 4, 301 (2020), arXiv:1712.01826
 A. J. P. Garner, M. Krumm, and M. P. Müller, Semideviceindependent
information processing with spatiotemporal degrees
of freedom, Phys. Rev. Research 2,
013112 (2020), arXiv:1907.09274
 M. Lostaglio and M. P. Müller, Coherence and
asymmetry cannot be broadcast, Phys. Rev. Lett.
123, 020403 (2019), arXiv:1812.08214
 Ll. Masanes, T. D. Galley, and M. P. Müller, The
measurement postulates of quantum mechanics are
operationally redundant, Nat. Comm. 10,
1361 (2019), arXiv:1811.11060
 P. Boes, J. Eisert, R. Gallego, M. P. Müller, and H.
Wilming, Von Neumann entropy from unitarity,
Phys. Rev. Lett. 122, 210402 (2019), arXiv:1807.08773
 M. Krumm and M. P. Müller, Quantum computation
is the unique reversible circuit model for which
bits are balls, npj Quantum Inf. 5, 7
(2019), arXiv:1804.05736
 J. Riddell and M. P. Müller, Generalized
eigenstate typicality in translationinvariant
quasifree fermionic models, Phys. Rev. B 97,
035129 (2018), arXiv:1709.05569
 M. P. Müller, Correlating thermal machines and
the second law at the nanoscale, Phys. Rev. X 8,
041051 (2018), arXiv:1707.03451
 J. Scharlau and M. P. Müller, Quantum Horn's
lemma, finite heat baths, and the third law of
thermodynamics, Quantum 2, 54 (2018), arXiv:1605.06092
 M. P. Müller, S. Carrozza, and P. A. Höhn, Is the local linearity
of spacetime inherited from the linearity of
probabilities?, J. Phys. A: Math. Theor. 50, 054003 (2017),
arXiv:1608.08684
 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.
 A. J. P. Garner, M. P. Müller, and O. C. O.
Dahlsten, The complex and quaternionic quantum
bit from relativity of simultaneity on an
interferometer, Proc. R. Soc. A 473,
20170596 (2017), arXiv:1412.7112
 M. P. Müller and M. Pastena, A generalization
of majorization that characterizes Shannon entropy,
IEEE Trans. Inf. Th. 62(4),
17111720
(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" collection.
 M. Lostaglio, M. P. Müller, and M. Pastena, Stochastic
independence
as a resource in smallscale thermodynamics,
Phys. Rev. Lett. 115, 150402 (2015),
arXiv:1409.3258. PRL: Editor's Suggestion.
 M. P. Müller, E. Adlam, Ll. Masanes, and N. Wiebe, Thermalization
and
canonical typicality in translationinvariant
quantum lattice systems, Commun. Math. Phys. 340(2),
499561 (2015), arXiv:1312.7420
 G. Gour, M. P. Müller, V. Narasimhachar, R. W.
Spekkens, and N. Yunger Halpern, The resource
theory of informational nonequilibrium in
thermodynamics, Phys. Rep. 583,
158 (2015), arXiv:1309.6586
 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, 4358 (2015), arXiv:1508.03107
 H. Barnum, M. P. Müller, and C. Ududec, Higherorder
interference
and singlesystem postulates characterizing quantum
theory, New J. Phys. 16,
123029 (2014), arXiv:1403.4147
 Ll. Masanes, M. P. Müller, D. PérezGarcía, and R.
Augusiak, Entanglement and the
threedimensionality of the Bloch ball, J.
Math. Phys. 55, 122203 (2014), arXiv:1111.4060
 Ll. Masanes, M. P. Müller, R. Augusiak, and D.
PérezGarcía, 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 and Ll. Masanes, Threedimensionality
of space and the quantum bit: an
informationtheoretic approach, New J. Phys. 15,
053040 (2013), arXiv:1206.0630.
In NJP's "Highlights of
2013" collection.
 M. P. Müller, J. Oppenheim, and O. C. O. Dahlsten, The
black
hole information problem beyond quantum theory,
J. High Energy Phys. 09, 116 (2012),
arXiv:1206.5030
 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 (2012), arXiv:1110.5482
 M. P. Müller and C. Ududec, Structure of
reversible computation determines the selfduality
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),
441487
(2012), arXiv:1107.6029
 C. Gogolin, M. P. Müller, and J. Eisert, Absence
of thermalization in nonintegrable 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),
785824 (2011), arXiv:1003.4982
 M. Müller and D. Schleicher, How to add a
noninteger number of terms: from axioms to new
identities, Am. Math. Mon. 118(2),
136152 (2011), arXiv:1001.4695
 N. Ay, M. Müller, and A. Szkola, Effective
complexity of stationary process realizations,
Entropy 13 (6), 12001211 (2011), arXiv:1001.2686
 D. Gross, M. Müller, R. Colbeck, and O. C. O.
Dahlsten, All reversible dynamics in maximally
nonlocal 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), 45934607
(2010), arXiv:0810.5663
 M. Müller, Stationary algorithmic probability,
Theor. Comput. Sci. 411, 113130
(2010), arXiv:cs.IT/0608095
 M. Müller and D. Schleicher, Fractional sums
and Eulerlike identities, Ramanujan J.
21(2), 123143 (2010), arXiv:math/0502109
 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,
166167 (2009), arXiv:0712.4090
 M. Müller, On the quantum Kolmogorov complexity
of classical strings, Int. J. Quant. Inf. 7
(4), 701711 (2009), arXiv:0707.2924
 M. Müller, Strongly universal quantum Turing
machines and invariance of Kolmogorov complexity,
IEEE Trans. Inf. Th. 54(2), 763780
(2008), arXiv:quantph/0605030
 F. Benatti, T. Krüger, M. Müller, Ra.
SiegmundSchultze, and A. Szkola, Entropy and
quantum Kolmogorov complexity: a quantum Brudno's
theorem, Commun. Math. Phys. 265(2),
437461
(2006), arXiv:quantph/0506080
 M. Müller and D. Schleicher, How to add a
noninteger number of terms, and how to produce
unusual infinite summations, J. Comp. Appl.
Math. 178 (12), 347360 (2005), download
All further publications
 T. D. Galley, Ll. Masanes, and M. P. Müller, Reply
to "MasanesGalleyMüller and the StateUpdate
Postulate", arXiv:2212.03629
 M. P. Müller, Undecidability and
unpredictability: not limitations, but triumphs of
science, in A. Aguirre, Z. Merali, and D. Sloan
(eds.), "Undecidability, Uncomputability, and
Unpredictability", Springer Nature, 2021, arXiv:2008.09821.
First prize at the
2021 FQXi essay contest.
 M. P. Müller, Probabilistic Theories and
Reconstructions of Quantum Theory (Les Houches 2019
lecture notes), SciPost Phys. Lect. Notes 28
(2021), arXiv:2011.01286
 A. J. P. Garner and M. P. Müller, Characterization
of the probabilistic models that can be embedded in
quantum theory, arXiv:2004.06136.
Contains a condensed version of Theorem 2 of (and is
superseded by) arXiv:2112.09719.
 M. P. Müller, Mind before matter: reversing the
arrow of fundamentality, in A. Aguirre, B.
Foster, and Z. Merali (eds.), What is Fundamental?,
Springer Verlag, 2019, arXiv:1812.08594
 P. A. Höhn, M. P. Müller, C. Pfeifer, and D. Rätzel,
A local quantum Mach principle and the metricity of
spacetime, arXiv:1811.02555
 A. Koberinski and M. P. Müller, Quantum theory as a
principle theory: insights from an
informationtheoretic reconstruction, in M.
E. Cuffaro and S. C. Fletcher (eds.), Physical
Perspectives on Computation, Computational
Perspectives on Physics, Cambridge University
Press, Cambridge, 2018, arXiv:1707.05602
 C. M. Bender, D. C. Brody, and M. P. Müller, Comment
on 'Comment on "Hamiltonian for the zeros of the
Riemann zeta function' ", arXiv:1705.06767
 M. P. Müller, A
note on "Hamiltonian for the zeros of the Riemann
zeta function", arXiv:1704.04705
 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, Informationtheoretic
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 prefixfree Hilbert spaces, ITSL '08
conference proceedings, arXiv:0804.0022
Theses
 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
QuantenShannonMcMillanBreimanTheorem 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 FranzJosef 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 noninteger
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.
 Higherorder arithmetic operations, and
noninteger iteration of functions (19941995).
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.

