Schrödinger Bridges - Classical and Quantum

Explore the concept of Schrödinger bridges in both classical and quantum contexts in this 22-minute lecture by Tryphon Georgiou from the University of California, Irvine. Delve into the historical background of Erwin Schrödinger's 1931 question about the most likely path of diffusive particles. Examine the application of Schrödinger bridges to Markov chains, quantum evolutions, and dynamical systems. Learn about the solution to the Schrödinger bridge problem for Markov chains and Quantum channels, based on joint work with Michele Pavon. Gain insights into topics such as entropy inequalities, quantum information, and quantum physics as part of the Entropy Inequalities, Quantum Information and Quantum Physics 2021 series presented by the Institute for Pure & Applied Mathematics at UCLA.

Introduction
Outline
History
duncan experiment
Schrodinger bridges
Markov chains
The solution
Gain
Special version
Shortcut solution
Synchronous theorem
Density matrices
Transition probabilities
Local transformations
Quantum sinkhole
Pink bridge
Convergence
Recap