Asymptotics and Typicality of Sequential Generalized Measurements

Explore the fundamental relationship between projective measurements and generalized quantum measurements in this comprehensive lecture. Delve into a rigorous proof demonstrating how projective measurements naturally emerge from sequential generalized measurements in the asymptotic limit. Examine the construction of selective projective measurements using typical sequences of sequential generalized measurements. Learn about an explicit scheme for building projective measurements of quantum systems through sequential generalized quantum measurements. Discover the remarkable finding that a single ancilla qubit is sufficient to mediate sequential weak measurements for constructing arbitrary projective measurements of generic systems. Investigate a practical application through a protocol for measuring the modular excitation number of a bosonic mode using an ancilla qubit. This 1-hour 18-minute talk, presented by Wen Long Ma from the Institute of Semiconductors, Chinese Academy of Sciences, offers valuable insights into quantum physics and its technological implications.