Research
Topology and geometry have become increasingly important in fundamental quantum mechanics. In my research, I study properties and phenomena of quantum mechanical systems with topological and geometric origins.
Key phrases:
Holonomy and geometric phases
Quantum speed limits and uncertainty principles
SICs and MUBs
Self-testing quantum systems
Teaching
- Mathematics for Engineers I, II
- Mathematics and Mathematics Teaching I
Module 3: Mathematical relationships and change in one variable - Mathematics and Mathematics Teaching III
Module 4: Discrete Mathematics and Algebraic Structures - Mathematics and Mathematics Teaching V
Module 2: Independent project - Linear Algebra II
Selected publications
- N. Hörnedal and O. Sönnerborn, Tight lower bounds on the time it takes to generate a geometric phase, Phys. Scr. 98, 105108 (2023), arXiv:2305.12156
- N. Hörnedal and O. Sönnerborn, Closed systems refuting quantum speed limit hypotheses, preprint (2023), arXiv:2303.09423
- N.Hörnedal and O.Sönnerborn, The Margolus-Levitin quantum speed limit for an arbitrary fidelity, preprint (2023), arXiv:2301.10063
- N. Hörnedal, D. Allan, and O.Sönnerborn, Extensions of the Mandelstam-Tamm quantum speed limit to systems in mixed states, New J. Phys. 24, 055004 (2022), arXiv:2112.08017
- D. Allan, N. Hörnedal, and O. Andersson, Time-optimal quantum transformations with bounded bandwidth, Quantum 5, 462 (2021), arXiv:2011.11963
- O. Andersson and I. Dumitru, Aligned SICs and embedded tight frames in even dimensions, J. Phys. A: Math. Theor. 52, 425302 (2019), arXiv:1905.09737
- O. Andersson, P. Badziąg, I. Dumitru, and A. Cabello, Device-independent certification of two bits of randomness from one entangled bit and Gisin's elegant Bell inequality, Phys. Rev. A 97, 012314 (2018), arXiv:1707.00564
- O. Andersson, P. Badziąg, I. Bengtsson, I. Dumitru, and A. Cabello, Self-testing properties of Gisin's elegant Bell inequality, Phys. Rev. A 96, 032119 (2017), arXiv:1706.02130