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Open quantum systems - especially with regard to chaotic phenomena and control
Quantum circuits, particularly those based on superconducting devices
Quantum Computation and Quantum Information Processing
Entanglement/separability in multi-partite and open quantum systems
Realisations of condensed matter & photonic systems for quantum technologies
Numerical analysis of stochastic and non-linear differential equations
Programme tutor for Engineering Physics, Physics and Mathematics, Physics and Sport Science
 R.P. Rundle, P.W. Mills, T. Tilma, J. H. Samson, M. J. Everitt: “Quantum Phase Space Measurement and Entanglement Validation Made Easy”, Phys Rev A., arXiv, 2017, in print.
 T. Tilma, M. J. Everitt, J. H. Samson, W. J. Munro, and K. Nemoto: “Wigner Functions for Arbitrary Quantum Systems”, Phys. Rev. Lett., Vol.117, 180401, DOI: 10.1103/PhysRevLett.117.180401, arXiv, 2016.