Media coverage

  • 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).


Preprints on arXiv ----(Citation statistics: Google Scholar)

  1. J. Riddell and M. P. Müller, Generalized eigenstate typicality in translation-invariant quasifree fermionic models, arXiv:1709.05569
  2. A. Koberinski and M. P. Müller, Quantum theory as a principle theory: insights from an information-theoretic reconstruction, arXiv:1707.05602
  3. M. P. Müller, Correlating thermal machines and the second law at the nanoscale, arXiv:1707.03451
  4. 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
  5. M. P. Müller, A note on "Hamiltonian for the zeros of the Riemann zeta function", arXiv:1704.04704
  6. J. Scharlau and M. P. Müller, Quantum Horn's lemma, finite heat baths, and the third law of thermodynamics, arXiv:1605.06092
  7. 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
: sorted according to date of publication on

  1. 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 talents"),  arXiv:1608.08684
  2. 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
  3. 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.
  4. 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
  5. 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.
  6. 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.
  7. 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
  8. 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 (2015), arXiv:1312.7420
  9. 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
  10. 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
  11. 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
  12. 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" collection.
  13. 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
  14. J. Eisert, M. P. Müller, and C. Gogolin, Quantum measurement occurrence is undecidable, Phys. Rev. Lett. 108, 260501 (2012), arXiv:1111.3965
  15. 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
  16. 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
  17. 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
  18. C. Gogolin, M. P. Müller, and J. Eisert, Absence of thermalization in non-integrable systems, Phys. Rev. Lett. 106, 040401 (2011), arXiv:1009.2493
  19. Ll. Masanes and M. P. Müller, A derivation of quantum theory from physical requirements, New J. Phys. 13, 063001 (2011), arXiv:1004.1483
  20. 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
  21. 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
  22. N. Ay, M. Müller, and A. Szkola, Effective complexity of stationary process realizations, Entropy 13 (6), 1200-1211 (2011), arXiv:1001.2686
  23. 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
  24. 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
  25. M. Müller, Convex trace functions on quantum channels and the additivity conjecture, Phys. Rev. A 79, 052332 (2009), arXiv:0809.4060
  26. 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
  27. M. Müller, Does probability become fuzzy in small regions of spacetime?, Phys. Lett. B 673, 166-167 (2009), arXiv:0712.4090
  28. M. Müller, On the quantum Kolmogorov complexity of classical strings, Int. J. Quant. Inf. 7 (4), 701-711 (2009), arXiv:0707.2924
  29. M. Müller, Stationary algorithmic probability, Theoretical Computer Science 411, 113-130 (2010), arXiv:cs.IT/0608095
  30. 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
  31. 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
  32. M. Müller and D. Schleicher, Fractional sums and Euler-like identities, The Ramanujan Journal 21(2), 123-143 (2010), arXiv:math/0502109
  33. 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


Conference proceedings

  1. 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 (2015). arXiv:1508.03107
  2. 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.
  3. 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
  4. 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.