Tryphon Georgiou: "Schrödinger bridges: classical and quantum"

Entropy Inequalities, Quantum Information and Quantum Physics 2021
"Schrödinger bridges: classical and quantum"
Tryphon Georgiou - University of California, Irvine (UCI)
Abstract: In 1931 Erwin Schrödinger asked for the most likely path of diffusive particles that is in agreement with empirical marginals at two end-points in time. In essence, he sought a new probability law on the space of paths which is consistent with the observed empirical marginals (assuming that the prior law, the Wiener measure, is not). His solution is now known as the Schrödinger bridge. Similar questions can be raised in the context of Markov chains, quantum evolutions (over non-commutative probability spaces), densities of inertial particles obeying Langevin dynamics, and also the evolution of state-densities of dynamical systems in general. In the talk we will explain the Schrödinger bridge problem and its solution for Markov chains and Quantum channels.
The presentation will be based on joint work with Michele Pavon (Padova). arxiv.org/abs/1405.6650
Institute for Pure and Applied Mathematics, UCLA
February 11, 2021
For more information: www.ipam.ucla.edu/eqp2021

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Amazing video!