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.
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