I’m always happy to hear from motivated undergraduate and graduate students who are interested in joining BilQCT (Bilkent Quantum Computing and Topology Group). Our group works on the mathematics of quantum computing at the intersection of algebra, topology, and polyhedral/optimization methods. Using these tools, we aim to understand better when and why quantum computers can outperform classical computation.
Quantum foundations.
We study quantum features such as contextuality (a generalization of Bell nonlocality) and their computational consequences. A major theme is developing new frameworks—often inspired by algebraic topology—to capture and quantify these phenomena.
Classical simulation.
Classical simulation provides a rigorous way to measure and certify quantum advantage. We develop and analyze polytope-based simulation algorithms and study the complexity and practical performance of these methods.
We currently have opportunities for graduate students, including positions supported by our ongoing TÜBİTAK 1001 project (open to graduate student involvement). Graduate students affiliated with BilQCT typically benefit from:
Interdisciplinary research and international collaborations with researchers and institutions worldwide
Support for research expenses and travel (e.g., conferences, workshops, summer schools, and research visits)
A collaborative research environment, with regular interaction and joint projects
I’m glad to chat about potential projects and how you might fit into the group.