Complexity in Many-Body Quantum Systems (B06)

• Subject Area: Mathematics
• Term: since 2023
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 470903074

The goal of the proposed project is to develop and study complexity measures for many-body quantum evolutions, quantum states and families thereof. We will focus on circuit complexity and its relation to other complexity notions including geodesic, computational, descriptive and learning complexity. Our aim is to provide conceptual and axiomatic foundations, a systematic investigation and novel mathematical tools for quantifying the intrinsic complexity of quantum states and evolutions.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 352: Mathematics of Many-Body Quantum Systems and Their Collective Phenomena
• International Connection: Denmark
• Applicant Institution: Ludwig-Maximilians-Universität München
• Project Heads: Professor Matthias Christandl, Ph.D.; Professor Dr. Robert König; Professor Dr. Michael Wolf