Speaker
Gunnar Felix Lange
(UiO)
Description
Quantum sensing relies on an unknown parameter being encoded in a quantum state, which is read out and measured.
One interpretation of this encoding is geometrically, where we consider the quantum system to live on a space parameterized by the parameter. The distance on this space is then linked to the Fisher information, giving the maximal attainable sensitivity of the sensor. This gives a close relation between the quantum geometric tensor and the quantum Fisher information.
In this talk, I will briefly review this connection, and then talk about how topology constrains geometry, and therefore in turn constrains quantum sensing.