Continuous Quantum Measurements: The Most Likely Path with Pre- and Post-Selection

In this 39-minute lecture, explore the dynamics of continuous quantum measurements with a focus on the most likely path when pre- and post-selection conditions are applied. Recorded on April 29, 2025, at IPAM's Dynamics of Density Operators Workshop, Chapman University's Andrew Jordan presents a comprehensive examination of measured quantum systems as a novel type of dynamics. Delve into both the theoretical foundations and practical applications of continuous quantum measurement, with particular emphasis on how imposing boundary conditions from both past and future affects quantum dynamics. Discover the concept of the most likely path and understand its important connections to optimal control theory. This presentation offers valuable insights for researchers and students interested in quantum physics, measurement theory, and their mathematical foundations.