Rafael Nepomechie: Bethe ansatz and quantum computing

(22 Mars 2022/ March 22 ,2022) Séminaire Physique mathématique / Mathematical physics seminar www.crm.umontre...
Rafael Nepomechie (University of Miami): Bethe ansatz and quantum computing
Abstract: We begin with a brief review of the Heisenberg quantum spin chain and its remarkable solution found by Bethe. We then review a probabilistic algorithm for preparing exact eigenstates of this model on a quantum computer. An exact formula for the success probability is presented, and the computation of correlation functions is discussed. A generalization of the algorithm to open chains with boundaries is also noted.