Correlating AGP on a quantum computer

Khamoshi, Armin; Evangelista, Francesco A.; Scuseria, Gustavo E.

doi:10.1088/2058-9565/abc1bb

Title: Correlating AGP on a quantum computer

Journal Article · 11 November 2020 · Quantum Science and Technology

DOI: https://doi.org/10.1088/2058-9565/abc1bb · OSTI ID:1677415

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Rice University, Houston, TX (United States)
Emory University, Atlanta, GA (United States)

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.

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Research Organization:: Emory Univ., Atlanta, GA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0019374

OSTI ID:: 1677415

Journal Information:: Quantum Science and Technology, Vol. 6, Issue 1; ISSN 2058-9565

Publisher:: IOPscienceCopyright Statement

Country of Publication:: United States

Language:: English

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