Parameterized Two-Qubit Gates for Enhanced Variational Quantum Eigensolver

Stig Elkjær Rasmussen; Nikolaj Thomas Zinner

doi:10.1002/andp.202200338

Parameterized Two-Qubit Gates for Enhanced Variational Quantum Eigensolver

Stig Elkjær Rasmussen^*, Nikolaj Thomas Zinner

^*Corresponding author for this work

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

2 Citations (Scopus)

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Abstract

The variational quantum eigensolver is a prominent hybrid quantum-classical algorithm expected to impact near-term quantum devices. They are usually based on a circuit ansatz consisting of parameterized single-qubit gates and fixed two-qubit gates. The effect of parameterized two-qubit gates in the variational quantum eigensolver is studied. A variational quantum eigensolver algorithm is simulated using fixed and parameterized two-qubit gates in the circuit ansatz and it is shown that the parameterized versions outperform the fixed versions, both when it comes to best energy and reducing outliers, for a range of Hamiltonians with applications in quantum chemistry and materials science.

Original language	English
Article number	2200338
Journal	Annalen der Physik
Volume	534
Issue	12
Number of pages	7
ISSN	0003-3804
DOIs	https://doi.org/10.1002/andp.202200338
Publication status	Published - Dec 2022

Keywords

quantum circuits
quantum technology
variational quantum algorithms

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10.1002/andp.202200338Licence: CC BY

Annalen der Physik - 2022 - RasmussenFinal published version, 522 KBLicence: CC BY

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N2 - The variational quantum eigensolver is a prominent hybrid quantum-classical algorithm expected to impact near-term quantum devices. They are usually based on a circuit ansatz consisting of parameterized single-qubit gates and fixed two-qubit gates. The effect of parameterized two-qubit gates in the variational quantum eigensolver is studied. A variational quantum eigensolver algorithm is simulated using fixed and parameterized two-qubit gates in the circuit ansatz and it is shown that the parameterized versions outperform the fixed versions, both when it comes to best energy and reducing outliers, for a range of Hamiltonians with applications in quantum chemistry and materials science.

AB - The variational quantum eigensolver is a prominent hybrid quantum-classical algorithm expected to impact near-term quantum devices. They are usually based on a circuit ansatz consisting of parameterized single-qubit gates and fixed two-qubit gates. The effect of parameterized two-qubit gates in the variational quantum eigensolver is studied. A variational quantum eigensolver algorithm is simulated using fixed and parameterized two-qubit gates in the circuit ansatz and it is shown that the parameterized versions outperform the fixed versions, both when it comes to best energy and reducing outliers, for a range of Hamiltonians with applications in quantum chemistry and materials science.

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Parameterized Two-Qubit Gates for Enhanced Variational Quantum Eigensolver

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