We investigate the fundamental principles of quantum information processing and complex quantum many-body systems. Using methods from mathematical physics, quantum information theory and computational science, we seek a deeper understanding of quantum phenomena while addressing the fundamental challenges underlying emerging quantum technologies. Our research spans quantum computing, quantum error correction, quantum algorithms, quantum communication and the study of strongly correlated quantum matter.

Quantum information science

• Foundations of quantum information: We study the mathematical foundations of quantum information processing, including entanglement, quantum resources, computational complexity and the fundamental limits of quantum technologies.
• Quantum error correction and fault tolerance: We develop new architectures, codes and theoretical principles for scalable quantum computation, ranging from quantum LDPC codes to fault-tolerant quantum architectures.
• Quantum algorithms, learning and verification: We develop quantum algorithms and methods for quantum machine learning, optimization, Hamiltonian learning, benchmarking and the certification of quantum devices.
• Quantum communication: We investigate quantum communication protocols, distributed quantum information processing and the secure transmission of quantum information.

Quantum many-body physics

• Tensor network methods: We develop analytical and numerical tensor network techniques for strongly correlated quantum systems and quantum circuits.
• Non-equilibrium quantum dynamics: We study thermalization, quantum transport, quantum simulation and the dynamics of complex many-body systems far from equilibrium.