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

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

doi:10.1038/s41467-024-47729-z

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

Journal Article · 07 May 2024 · Nature Communications

DOI: https://doi.org/10.1038/s41467-024-47729-z · OSTI ID:2471990

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North Carolina State University, Raleigh, NC (United States); OSTI
North Carolina State University, Raleigh, NC (United States)
Georgetown University, Washington, DC (United States)

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.

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Research Organization:: North Carolina State University, Raleigh, NC (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE)

Grant/Contract Number:: SC0023231

OSTI ID:: 2471990

Journal Information:: Nature Communications, Journal Name: Nature Communications Journal Issue: 1 Vol. 15; ISSN 2041-1723

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

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