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A linear response framework for quantum simulation of bosonic and fermionic correlation functions

Efekan Kökcü, Heba A Labib, J. Freericks, A. F. Kemper

Nature Communications, 2024

29 citations

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 via 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 can be more efficient than competing methods. 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 the ibm_auckland superconducting quantum computer. The linear response method provides a robust framework for using quantum computers to study systems in physics and chemistry. As quantum simulations advance, the ability to measure response functions of simulated systems becomes increasingly important. Here the authors present a linear response framework for computing fermionic and bosonic response functions on a quantum computer, demonstrating advantages over existing methods.

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