Recovery of quantum information: quantum Markov chains and matrix product states

Math Physics Seminar
Thursday, October 6, 2022 - 4:00pm for 1 hour (actually 50 minutes)
Skiles Room 005
Brian Kennedy – School of Physics, Georgia Tech –
Michael Loss

The mathematical theory of the recovery of quantum states stored in a quantum memory, is intimately related to the subadditivity property of the entropy function, and the class of states known as quantum Markov chains. In this talk we will introduce some of the basic ideas of this area of quantum information theory. We discuss a theorem regarding recovery of a widely studied class of quantum states, the matrix product states, and its implication for the mutual information stored over separated regions of a one dimensional quantum memory. This is joint work with Pavel Svetlichnyy and Shivan Mittal.