Related papers: A linear response framework for simulating bosonic and fermionic correlation functions illustrated on quantum computers

A linear response framework for simulating bosonic and fermionic correlation functions illustrated on quantum computers

URL: http://arxiv.org/abs/2302.10219v1
Date: Mon, 20 Feb 2023 19:01:02 GMT
Title: A linear response framework for simulating bosonic and fermionic correlation functions illustrated on quantum computers
Authors: Efekan K\"okc\"u, Heba A. Labib, J. K. Freericks, and Alexander F. Kemper
Abstract summary: Lehmann formalism for obtaining response functions in linear response has no direct link to experiment. Within the context of quantum computing, we make the experiment an inextricable part of the quantum simulation. We show that both bosonic and fermionic Green's functions can be obtained, and apply these ideas to the study of a charge-density-wave material.
Score: 58.720142291102135
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Response functions are a fundamental aspect of physics; they represent the link between experimental observations and the underlying quantum many-body state. However, this link is often under-appreciated, as the Lehmann formalism for obtaining response functions in linear response has no direct link to experiment. Within the context of quantum computing, and by using a linear response framework, we restore this link by making the experiment an inextricable part of the quantum simulation. This method can be frequency- and momentum-selective, avoids limitations on operators that can be directly measured, and is ancilla-free. As prototypical examples of response functions, we demonstrate that both bosonic and fermionic Green's functions can be obtained, and apply these ideas to the study of a charge-density-wave material on ibm_auckland. The linear response method provides a robust framework for using quantum computers to study systems in physics and chemistry. It also provides new paradigms for computing response functions on classical computers.