Alexander Müller-Hermes

Associate Professor

Academic interests

I study the mathematical aspects of quantum information theory with a focus on quantum Shannon theory and entanglement theory.

Courses taught

  • 2024 Spring: Quantum information theory MAT4430
  • 2023 Autumn: Strukturer og argumenter MAT1140
  • 2023 Spring: Quantum information theory MAT4430
  • 2022 Autumn: Linear Algebra MAT1120
  • 2022 Spring: Quantum information theory MAT4430

Background

  • 2015 PhD, Technical University of Munich
  • 2015-2019 Postdoc, University of Copenhagen
  • 2019-2021 Marie Skłodowska-Curie fellow, University of Lyon 1

 

Tags: Quantum information theory, linear algebra, functional analysis, operator algebra

Publications

  • Belzig, Paula; Christandl, Matthias & Mueller- Hermes, Alexander (2024). Fault-Tolerant Coding for Entanglement-Assisted Communication. IEEE Transactions on Information Theory. ISSN 0018-9448. 70(4), p. 2655–2673. doi: 10.1109/TIT.2024.3354319.
  • Mueller- Hermes, Alexander; Nechita, Ion & Reeb, David (2023). A refinement of Reznick’s Positivstellensatz with applications to quantum information theory. Quantum. ISSN 2521-327X. doi: 10.22331/q-2023-05-12-1001.
  • Carlen, Eric & Müller-Hermes, Alexander (2023). Characterizing Schwarz maps by tracial inequalities. Letters in Mathematical Physics. ISSN 0377-9017. 113(1). doi: 10.1007/s11005-023-01636-4. Full text in Research Archive
  • Christandl, Matthias & Müller-Hermes, Alexander (2022). Fault-Tolerant Coding for Quantum Communication. IEEE Transactions on Information Theory. ISSN 0018-9448. 70(1), p. 282–317. doi: 10.1109/TIT.2022.3169438. Full text in Research Archive
  • Aubrun, Guillaume & Müller-Hermes, Alexander (2022). Annihilating Entanglement Between Cones. Communications in Mathematical Physics. ISSN 0010-3616. doi: 10.1007/s00220-022-04621-5. Full text in Research Archive
  • Fawzi, Omar; Müller-Hermes, Alexander & Shayeghi, Ala (2022). A Lower Bound on the Space Overhead of Fault-Tolerant Quantum Computation. In Braverman, Mark (Eds.), 13th Innovations in Theoretical Computer Science Conference (ITCS 2022). Schloss Dagstuhl, Leibniz-Zentrum für Informatik. ISSN 978-3-95977-217-4. p. 1–20. doi: 10.4230/LIPIcs.ITCS.2022.68. Full text in Research Archive
  • Mueller- Hermes, Alexander (2021). Decomposable Pauli diagonal maps and tensor squares of qubit maps. Journal of Mathematical Physics. ISSN 0022-2488. doi: 10.1063/5.0049533.
  • Müller-Hermes, Alexander (2021). Cutting Cakes and Kissing Circles. The Mathematical intelligencer. ISSN 0343-6993. 43, p. 40–44. doi: 10.1007/s00283-021-10071-z.
  • Müller-Hermes, Alexander & Perry, Christopher (2019). All unital qubit channels are 4-noisy operations. Letters in Mathematical Physics. ISSN 0377-9017. 109, p. 1–9. doi: 10.1007/s11005-018-1104-x.
  • Christandl, Matthias; Müller-Hermes, Alexander & Wolf, Michael (2019). When Do Composed Maps Become Entanglement Breaking? Annales Henri Poincaré - A Journal of Theoretical and Mathematical Physics. ISSN 1424-0637. 20, p. 2295–2322. doi: 10.1007/s00023-019-00774-7.
  • Müller-Hermes, Alexander & Franca, Daniel Stilck (2018). Sandwiched Rényi Convergence for Quantum Evolutions. Quantum. ISSN 2521-327X. 2. doi: 10.22331/q-2018-02-27-55.
  • Müller-Hermes, Alexander (2018). Decomposability of linear maps under tensor powers. Journal of Mathematical Physics. ISSN 0022-2488. 59. doi: 10.1063/1.5045559.
  • Huber, Marcus; Lami, Ludovico; Lancien, Cecilia & Müller-Hermes, Alexander (2018). High-Dimensional Entanglement in States with Positive Partial Transposition. Physical Review Letters. ISSN 0031-9007. 121. doi: 10.1103/PhysRevLett.121.200503.
  • Müller-Hermes, Alexander & Nechita, Ion (2018). Operator Schmidt ranks of bipartite unitary matrices. Linear Algebra and its Applications. ISSN 0024-3795. 557, p. 174–187. doi: 10.1016/j.laa.2018.07.018.
  • Müller-Hermes, Alexander & Reeb, David (2017). Monotonicity of the Quantum Relative Entropy Under Positive Maps. Annales Henri Poincaré - A Journal of Theoretical and Mathematical Physics. ISSN 1424-0637. 18, p. 1777–1788. doi: 10.1007/s00023-017-0550-9.
  • Christandl, Matthias & Müller-Hermes, Alexander (2017). Relative Entropy Bounds on Quantum, Private and Repeater Capacities. Communications in Mathematical Physics. ISSN 0010-3616. 353, p. 821–852. doi: 10.1007/s00220-017-2885-y.
  • Müller-Hermes, Alexander; Reeb, David & Wolf, Michael (2016). Positivity of linear maps under tensor powers. Journal of Mathematical Physics. ISSN 0022-2488. 57(1). doi: 10.1063/1.4927070.
  • Müller-Hermes, Alexander; Franca, Daniel Stilck & Wolf, Michael (2016). Entropy production of doubly stochastic quantum channels. Journal of Mathematical Physics. ISSN 0022-2488. 57(2). doi: 10.1063/1.4941136.
  • Müller-Hermes, Alexander; Stilck Franca, Daniel & Wolf, Michael (2016). Relative entropy convergence for depolarizing channels. Journal of Mathematical Physics. ISSN 0022-2488. 57(2). doi: 10.1063/1.4939560.
  • Müller-Hermes, Alexander & Szehr, Oleg (2015). Spectral variation bounds in hyperbolic geometry. Linear Algebra and its Applications. ISSN 0024-3795. 482, p. 131–148. doi: 10.1016/j.laa.2015.05.020.
  • Müller-Hermes, Alexander; Reeb, David & Wolf, Michael (2014). Quantum Subdivision Capacities and Continuous-Time Quantum Coding. IEEE Transactions on Information Theory. ISSN 0018-9448. 61(1), p. 565–581. doi: 10.1109/TIT.2014.2366456.

View all works in Cristin

  • Müller-Hermes, Alexander (2022). Annihilating Entanglement Between Cones.
  • Müller-Hermes, Alexander (2022). Fault-tolerant Coding for Quantum Communication.
  • Müller-Hermes, Alexander (2022). Monogamy of entanglement between cones.
  • Müller-Hermes, Alexander (2022). Capacities of quantum channels.

View all works in Cristin

Published Dec. 6, 2021 1:42 PM - Last modified June 23, 2024 10:06 PM

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