Mathematical Physics in Quantum Technology: from Finite to Infinite Dimensions

Aim

Quantum technology is a vibrant discipline of research with numerous applications in all areas of science. Our particular interest lies in the area of quantum information and the control of quantum systems. While traditionally these disciplines have worked with finite-dimensional mathematical models for the sake of simplicity and since it has appeared sufficient, ever-growing physical systems and progress in experimental realisations make it natural to ask what happens in infinite dimensions: in the end, for large systems, infinite-dimensional approximations can often simplify the description of the finite-dimensional system; moreover, many systems are simply not finite-dimensional and hence a reliable mathematical description is needed. In this research workshop we would like to look at a number of current research themes in the wider area of quantum information such as robust quantum control, long-term stability of quantum systems, entanglement breaking channels and the divisibility of channels. By gathering experts from these areas, we would like to stimulate discussions and cross-pollination, to look at common structures and frameworks, and to study the transition from finite to infinite dimensions and convergence properties in all of them. A deeper analytical and mathematical understanding is expected to prove crucial in descriptions of experiments in the near future. Apart from a number of talks there will be dedicated periods of time for private discussions as well as moderated discussions in a bigger group in order to tackle some of the presented problems.

Organisers

Daniel Burgarth (Macquarie Sydney)

Nilanjana Datta (Cambridge)

Robin Hillier (Lancaster)

Link to host institution webpage

International Centre of Mathematical Sciences

To contact the organisers: here or at their personal email addresses