Leibniz Universität Hannover Fakultät Fakultät für Mathematik und Physik
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Institut für Theoretische Physik
 
Institut für Theoretische Physik Arbeitsgruppen Tobias J. Osborne
Abschlussarbeiten

Abschlussarbeiten

Doktorarbeiten

Laufende Doktorarbeiten

  • Lennart Binkowski, Quantum algorithms for combinatorial optimisation (betreut von Tobias J. Osborne)
  • Andreea-Iulia Lefterovici, Hybrid Benchmarking of Quantum Algorithms (betreut von Tobias J. Osborne, Antonio Rotundo)
  • Ugne Liaubaite, Quantum Error Mitigation and Correction (betreut von Tobias J. Osborne)
  • Debora Ramacciotti, Sparse State Encoding and Stabilizer-Based Metrology for Quantum Computing (betreut von Tobias J. Osborne)
  • Shawn Skelton, Quantum algorithms through quantum signal processing (betreut von Tobias J. Osborne)
  • Martin Steinbach, Quantum Multigrid Methods applied to Maxwell’s Equations (betreut von Tobias J. Osborne, Thomas Wick)
  • Sören Wilkening, Quantum Amplitude Engineering (betreut von Tobias J. Osborne)
  • Timo Ziegler, Quantum Conic Programming (betreut von Tobias J. Osborne, René Schwonnek)

Abgeschlossene Doktorarbeiten

Masterarbeiten

Aktuelle Themenvorschläge

  • Comparing Functional Linear Solvers with VTAA (Ansprechperson: Shawn Skelton)

    There are many proposals for solving a system of linear equations with a quantum computer. These quantum linear solvers (QLS) generally fall into two categories: functional and adiabatic algorithms. Adiabatic algorithms have the best asymptotic lower bounds, but functional algorithms can be made competitive by using a complex routine called variable time amplitude amplification (VTAA).

    There is increasing interest in performing high-level resource analyses to compare quantum algorithms with similar assumptions and determine if one offers an advantage over another. This type of work requires a blend of complexity analysis and some applied computer science. While existing comparisons of functional QLS use this method, none have incorporated VTAA. . So, existing comparisons use results which are known to underperform in asymptotic limit.

    This project will consist of learning about VTAA and functional QLS algorithms, and then adapting existing code to perform a high-level resource analysis of several variants of VTAA applied to functional linear solvers. A student would need to be comfortable working with and adapting existing Python code, as well as working through proofs.

  • individuelle Projekte, Ansprechperson: alle

Laufende Masterarbeiten

  • Robin Syring, Reinforcement Learning for Cavity Locking (betreut von Tobias J. Osborne, Viktoria-Sophie Schmiesing)
  • Nils Zolitschka, Gaussian Dissipative Neural Networks (betreut von Tobias J. Osborne, Viktoria-Sophie Schmiesing)

Abgeschlossene Masterarbeiten

Bachelorarbeiten

Aktuelle Themenvorschläge

  • Comparing Methods for Hamiltonian Simulation (Ansprechperson: Shawn Skelton)

    Hamiltonian simulation is one of the most fundamental tasks in quantum computing. Many methods have been proposed to perform it, including Trotter simulation and quantum eigenvalue transformation (QET). These two methods can't be compared analytically because they are based on very different assumptions about the information a quantum computer can access. However, small numerical simulations can be used to study the circumstances under which QET might begin to outperform Trotter.

    Within this project, a student will learn the basics of quantum algorithms, noise models, and quantum error mitigation strategies. After completing the background reading, the student will adapt pre-existing code for a more realistic simulation and then study the performance of both methods using numeric simulations of the calculation. If excellent progress is made, an experiment might be run on a real quantum computer.

  • individuelle Projekte, Ansprechperson: alle

Laufende Bachelorarbeiten

  • Vincent von Wolff, Utilising tensorised Pauli decomposition for error analysis of quantum channels (betreut von Lennart Binkowski, Lukas Hantzko, Tobias J. Osborne)

Abgeschlossene Bachelorarbeiten

Letzte Änderung: 23.11.25 Druckversion

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