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Research A main motivation for my research is to understand the role of information in physics. I work with the rigorous mathematical methods of quantum information theory and mathematical physics, in order to understand the principles of information processing and its implications for physics. Specifically, I am interested in
Selected publications Ll. Masanes, M. P. Müller, "A derivation of quantum theory from physical requirements", New J. Phys. 13, 063001 (2011), http://arxiv.org/abs/1004.1483 C. Gogolin, M. P. Müller, J. Eisert, "Absence of thermalization in non-integrable systems", Phys. Rev. Lett. 106, 040401 (2011), http://arxiv.org/abs/1009.2493 M. P. Müller, D. Gross, J. Eisert, "Concentration of measure for quantum states with a fixed expectation value", Commun. Math. Phys., Vol. 303/3, 785-824 (2011), http://arxiv.org/abs/1003.4982 D. Gross, M. Müller,
R. Colbeck, O. C. O. Dahlsten, "All reversible dynamics in maximally non-local theories are trivial", Phys. Rev. Lett. 104, 080402 (2010), http://arxiv.org/abs/0910.1840 F. Benatti, T. Krüger, M. Müller, Ra. Siegmund-Schultze, A. Szkola, "Entropy and quantum Kolmogorov complexity: a quantum Brudno's theorem", Commun. Math. Phys., Vol. 265/2 pp. 437-461 (2006), http://www.arxiv.org/abs/quant-ph/0506080
Further publications Ll. Masanes, M. P. Müller, D. Perez-Garcia, R. Augusiak, "Entangling dynamics beyond quantum theory", http://arxiv.org/abs/1111.4060 J. Eisert, M. P. Müller, C. Gogolin, "Quantum measurement occurrence is undecidable", http://arxiv.org/abs/1111.3965 G. de la Torre, Ll. Masanes, A. J. Short, M. P. Müller, "Deriving quantum theory from its local structure and reversibility", http://arxiv.org/abs/1110.5482 M. P. Müller, C. Ududec, "The power of reversible computation determines the self-duality of quantum theory", http://arxiv.org/abs/1110.3516 M. P. Müller, O. C. O. Dahlsten, V. Vedral, "Unifying typical entanglement and coin tossing: on randomization in probabilistic theories", http://arxiv.org/abs/1107.6029 M. Müller, D. Schleicher, "How to add a non-integer number of terms: from axioms to new identities", American Mathematical Monthly Vol. 118, No. 2, pp. 136-152 (2011), http://arxiv.org/abs/1001.4695 M. Müller, "Stationary algorithmic probability", Theoretical Computer Science 411 pp. 113-130 (2010), doi:10.1016/j.tcs.2009.09.017, http://www.arxiv.org/abs/cs.IT/0608095 N. Ay, M. Müller, A. Szkola, "Effective complexity and its relation to logical depth", IEEE Trans. Inf. Th., Vol. 56/9 pp. 4593-4607 (2010), http://arxiv.org/abs/0810.5663 N. Ay, M. Müller, A. Szkola, "Effective Complexity of stationary process realizations", Entropy Vol. 13 No. 6, pp. 1200-1211 (2011), http://arxiv.org/abs/1001.2686 M. Müller, "Convex trace functions on quantum channels and the additivity conjecture", Phys. Rev. A 79, 052332 (2009), http://arxiv.org/abs/0809.4060 M. Müller, C. Rogers, R. Nagarajan, "Lossless quantum prefix compression for communication channels that
are always open", Phys. Rev. A 79, 012302 (2009), http://arxiv.org/abs/0808.2003 M. Müller, D. Schleicher, "Fractional sums and Euler-like identities", The Ramanujan Journal, Vol. 21, Issue 2, pp. 123-143 (2010), http://www.arxiv.org/abs/math/0502109 M. Müller, C. Rogers, "Quantum bit strings and prefix-free Hilbert spaces", M. Müller, "Does probability become fuzzy in small regions of spacetime?", Phys. Lett. B 673, 166-167(2009), http://arxiv.org/abs/0712.4090 M. Müller, "On the quantum Kolmogorov complexity of classical strings", Int. J. Quant. Inf., Vol. 7/4 pp. 701-711 (2009), http://www.arxiv.org/abs/0707.2924 M. Müller, D. Schleicher, "How to add a non-integer number of terms, and how to produce unusual
infinite summations", Journal of Computational and Applied Mathematics, Vol. 178/1-2
pp 347-360 (2005), HowToAdd.pdf As a highschool student and undergraduate, I was working on sums with a non-integer number of addends (yielding unusual identities) and some different topics that are described here. Theses doctoral thesis (2007): "Quantum Kolmogorov complexity and the quantum Turing machine", http://arxiv.org/abs/0712.4377 diploma thesis (2004): "Das Quanten-Shannon-McMillan-Breiman-Theorem am Beispiel der Heisenbergschen Spinkette" (only in German), diplomarbeit.pdf
Geschärfter Blick ins Gehirn
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