Caroline Robin

Quantum Information for the Nuclear Many-Body Problem

ABSTRACT: 
In the past years increasing effort has been devoted to re-examining quantum many-body systems from a quantum information point of view.  In particular, there has been renewed interest in understanding the phenomenon of entanglement due to its essential role in quantum computing and potential guidance in formulating the many-body problem. While extensive investigations of this topic have been performed in condensed matter and quantum chemistry, the exploration of entanglement in nuclear physics has only recently begun.

In this talk, we discuss the characterization of entanglement in nuclear systems and investigate entanglement properties of light nuclei obtained in the context of nuclear structure calculations with effective model spaces. We study how entanglement rearranges into more localized structures when the Hamiltonian is transformed into an effective one and how these patterns can indicate the emergence of physical phenomena [1].

In the second part of the talk, we investigate how entanglement localization can be exploited to design efficient quantum computations of nuclear systems. We develop a “Hamiltonian-Learning Variational Quantum Eigensolver” (HL-VQE) procedure to simultaneously determine the Hamiltonian and ground-state wave function ineffective model spaces [2]. As a test case, we apply this procedure to the Lipkin-Meshkov-Glick model [3] with a real quantum computer.