It is difficult to build quantum computers because it is hard to isolate and to control quantum objects with sufficient precision. I study new ways of quantum control, which can be more robust and can implement elementary steps in quantum computers with greater precision.
The techniques I use are based on topological phenomena. Topology is an area of mathematics that studies properties of objects that remain invariant under smooth deformations. In my case I study properties of quantum objects that remain in variant under small perturbation.
This means, for example, that even if the shape, intensity or frequency of laser pulses, which control the evolution of trapped atoms, fluctuate we can still induce a desired modification of atomic states.
Moreover, this can be done in complex systems involving many atoms. In particular I plan to investigate how topological quantum phenomena can be implemented in optical lattices.
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