Discrete and Continuous Signals: Analysis, Information and Applications

Continuation of the family of projectors to a positive operator-valued measure and restoration of the quantum state after measurement

14 Dec 2023, 17:00

25m

St. Petersburg University, MCS faculty

Quantum Information Session

Speaker

Anton Alekseev (Moscow Institute of Physics and Technology)

Description

We build POVM, which is absolutely continuous relative to the scalar measure with a projector-valued density, and study the quantum channel generated by it. Also, we consider the possibility of restoring states when measured by the Davis--Lewis instrument. An experiment with two outcomes is considered, and we compare two cases: with post-selection and without post-selection. We study how states are transformed in these cases and whether it is possible to restore them.