Ole Sönnerborn

 
Lecturer in mathematics

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

ORCiD: https://orcid.org/0000-0002-1726-4892

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
  • Supervises Master's degree projects

Selected publications

  • O. Sönnerborn, The isoholonomic inequality and tight implementations of holonomic quantum gates (2024), arXiv.2412.12013
  • O. Sönnerborn, Parallel transport in rotating frames and projective holonomic quantum computation (2024), arXiv:2405.20812
  • O. Sönnerborn, Estimate of the time required to perform a nonadiabatic holonomic quantum computation, Phys. Rev. A 109, 062433 (2024), arXiv:2404.05844
  • 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, Phys. Rev. A 108, 052421 (2023), arXiv:2303.09423
  • N.Hörnedal and O.Sönnerborn, Margolus-Levitin quantum speed limit for an arbitrary fidelity, Phys. Rev. Res. 5, 043234 (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

Publications