We continue our series of seminars with a talk by Daniel S. Tasca (IF-UFF). Daniel and co-authors have recently performed an experiment where they verify that a coarse graining procedure might break the mutual unbiasedness between conjugate variables. That sounds interesting! To know more about the topic, check out Daniel’s article here, and attend to his talk. See you there.

Title: Mutual Unbiasedness in Coarse-grained Continuous Variables

Speaker: Daniel S. Tasca (IF-UFF)

Coordinates: room 601C, CBPF. 27.09, 16h00

Abstract: The notion of mutual unbiasedness for coarse-grained measurements of quantum continuous variable systems is considered. It is shown that while the procedure of “standard” coarse graining breaks the mutual unbiasedness between conjugate variables, this desired feature can be theoretically established and experimentally observed in periodic coarse graining. We illustrate our results in an optics experiment implementing Fraunhofer diffraction through a periodic diffraction grating, finding excellent agreement with the derived theory. Our results are an important step in developing a formal connection between discrete and continuous variable quantum mechanics.