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This group works in the area of quantum systems in interaction with their environment, and in particular the emergent field of quantum control engineering. This is a highly interdisciplinary field incorporating ideas from (quantum) information theory, (non-commutative) stochastic analysis, mathematical physics for open quantum systems, and modern control theory. The group has an expertise in functional analysis, C* algebras and operator theory which it applies to practical quantum models.
Areas of research:
Quantum open systems
operator algebras
quantum information
quantum white noise analysis
functional and spectral analysis of dissipative systems
direct and inverse spectral theory
quantum stochastic differential equations
quantum filtering and control
bilinear quantum control
quantum estimation theory
coherent quantum feedback control
quantum networks.