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

  • 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

  • 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.
  • Mueller- Hermes, Alexander & Perry, Christopher (2019). All unital qubit channels are 4-noisy operations. Letters in Mathematical Physics. ISSN 0377-9017. doi: 10.1007/s11005-018-1104-x.
  • Mueller- Hermes, Alexander; Christandl, Matthias & Wolf, Michael (2019). When Do Composed Maps Become Entanglement Breaking? Annales Henri Poincaré - A Journal of Theoretical and Mathematical Physics. ISSN 1424-0637. doi: 10.1007/s00023-019-00774-7.
  • Mueller- Hermes, Alexander & Franca, Daniel Stilck (2018). Sandwiched Rényi Convergence for Quantum Evolutions. Quantum. ISSN 2521-327X. doi: 10.22331/q-2018-02-27-55.
  • Mueller- Hermes, Alexander (2018). Decomposability of linear maps under tensor powers. Journal of Mathematical Physics. ISSN 0022-2488. doi: 10.1063/1.5045559.
  • Mueller- Hermes, Alexander; Lancien, Cecilia; Huber, Marcus & Lami, Ludovico (2018). High-Dimensional Entanglement in States with Positive Partial Transposition. Physical Review Letters. ISSN 0031-9007. doi: 10.1103/PhysRevLett.121.200503.
  • Mueller- Hermes, Alexander & Nechita, Ion (2018). Operator Schmidt ranks of bipartite unitary matrices. Linear Algebra and its Applications. ISSN 0024-3795. doi: 10.1016/j.laa.2018.07.018.
  • Mueller- 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. doi: 10.1007/s00023-017-0550-9.
  • Mueller- Hermes, Alexander & Christandl, Matthias (2017). Relative Entropy Bounds on Quantum, Private and Repeater Capacities. Communications in Mathematical Physics. ISSN 0010-3616. doi: 10.1007/s00220-017-2885-y.
  • Mueller- Hermes, Alexander; Wolf, Michael & Reeb, David (2016). Positivity of linear maps under tensor powers. Journal of Mathematical Physics. ISSN 0022-2488. doi: 10.1063/1.4927070.
  • Mueller- Hermes, Alexander; Wolf, Michael & Franca, Daniel Stilck (2016). Entropy production of doubly stochastic quantum channels. Journal of Mathematical Physics. ISSN 0022-2488. doi: 10.1063/1.4941136.
  • Mueller- Hermes, Alexander; Wolf, Michael & Stilck Franca, Daniel (2016). Relative entropy convergence for depolarizing channels. Journal of Mathematical Physics. ISSN 0022-2488. doi: 10.1063/1.4939560.
  • Mueller- Hermes, Alexander & Szehr, Oleg (2015). Spectral variation bounds in hyperbolic geometry. Linear Algebra and its Applications. ISSN 0024-3795. doi: 10.1016/j.laa.2015.05.020.
  • Mueller- Hermes, Alexander; Wolf, Michael & Reeb, David (2014). Quantum Subdivision Capacities and Continuous-Time Quantum Coding. IEEE Transactions on Information Theory. ISSN 0018-9448. doi: 10.1109/TIT.2014.2366456.

View all works in Cristin

  • Mueller- Hermes, Alexander (2021). Cutting Cakes and Kissing Circles. The Mathematical intelligencer. ISSN 0343-6993. doi: 10.1007/s00283-021-10071-z.

View all works in Cristin

Published Dec. 6, 2021 1:42 PM - Last modified Sep. 9, 2022 2:38 PM