Recently, a series of different measures quantifying memory effects in the
quantum dynamics of open systems has been proposed. Here, we derive a
mathematical representation for the non-Markovianity measure based on the
exchange of information between the open system and its environment which
substantially simplifies its numerical and experimental determination, and
fully reveals the locality and universality of non-Markovianity in the quantum
state space. We further illustrate the application of this representation by
means of an all-optical experiment which allows the measurement of the degree
of memory effects in a photonic quantum process with high accuracy.Comment: 5 pages, 5 figure