QLunch: Entanglement renormalization and wavelet theory

Speaker: Freek Witteveen from QuSoft

Title: Entanglement renormalization and wavelet theory


Entanglement renormalization is a quantum circuit that implements a real-space coarse-graining procedure. It yields a tensor network state known as MERA. It has been successfully applied as a numerical method to study critical quantum chains and due to its structure as a quantum circuit it is a promising candidate for variational quantum algorithms.
However, a good analytic understanding of its expressive power is lacking so far. One line of progress is the realization that there is a close connection to wavelet theory. In this talk I will introduce some wavelet theory, and then explain how to explicitly construct a bosonic MERA for the massless harmonic chain.