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Title: Correlating AGP on a quantum computer

Abstract

For variational algorithms on the near term quantum computing hardware, it is highly desirable to use very accurate ansatze with low implementation cost. Recent studies have shown that the antisymmetrized geminal power (AGP) wavefunction can be an excellent starting point for ansatze describing systems with strong pairing correlations, as those occurring in superconductors. In this work, we show how AGP can be efficiently implemented on a quantum computer with circuit depth, number of CNOTs, and number of measurements being linear in system size. Using AGP as the initial reference, we propose and implement a unitary correlator on AGP and benchmark it on the ground state of the pairing Hamiltonian. Furthermore, the results show highly accurate ground state energies in all correlation regimes of this model Hamiltonian.

Authors:
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [1]
  1. Rice University, Houston, TX (United States)
  2. Emory University, Atlanta, GA (United States)
Publication Date:
Research Org.:
Emory Univ., Atlanta, GA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1677415
Grant/Contract Number:  
SC0019374
Resource Type:
Accepted Manuscript
Journal Name:
Quantum Science and Technology
Additional Journal Information:
Journal Volume: 6; Journal Issue: 1; Journal ID: ISSN 2058-9565
Publisher:
IOPscience
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING

Citation Formats

Khamoshi, Armin, Evangelista, Francesco A., and Scuseria, Gustavo E.. Correlating AGP on a quantum computer. United States: N. p., 2020. Web. https://doi.org/10.1088/2058-9565/abc1bb.
Khamoshi, Armin, Evangelista, Francesco A., & Scuseria, Gustavo E.. Correlating AGP on a quantum computer. United States. https://doi.org/10.1088/2058-9565/abc1bb
Khamoshi, Armin, Evangelista, Francesco A., and Scuseria, Gustavo E.. Wed . "Correlating AGP on a quantum computer". United States. https://doi.org/10.1088/2058-9565/abc1bb. https://www.osti.gov/servlets/purl/1677415.
@article{osti_1677415,
title = {Correlating AGP on a quantum computer},
author = {Khamoshi, Armin and Evangelista, Francesco A. and Scuseria, Gustavo E.},
abstractNote = {For variational algorithms on the near term quantum computing hardware, it is highly desirable to use very accurate ansatze with low implementation cost. Recent studies have shown that the antisymmetrized geminal power (AGP) wavefunction can be an excellent starting point for ansatze describing systems with strong pairing correlations, as those occurring in superconductors. In this work, we show how AGP can be efficiently implemented on a quantum computer with circuit depth, number of CNOTs, and number of measurements being linear in system size. Using AGP as the initial reference, we propose and implement a unitary correlator on AGP and benchmark it on the ground state of the pairing Hamiltonian. Furthermore, the results show highly accurate ground state energies in all correlation regimes of this model Hamiltonian.},
doi = {10.1088/2058-9565/abc1bb},
journal = {Quantum Science and Technology},
number = 1,
volume = 6,
place = {United States},
year = {2020},
month = {11}
}

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