Quantum Algorithm of the Divide-And-Conquer Unitary Coupled Cluster Method with a Variational Quantum Eigensolver

Takeshi Yoshikawa, Tomoya Takanashi, Hiromi Nakai*

*この研究の対応する著者

研究成果: Article査読

抄録

The variational quantum eigensolver (VQE) with shallow or constant-depth quantum circuits is one of the most pursued approaches in the noisy intermediate-scale quantum (NISQ) devices with incoherent errors. In this study, the divide-And-conquer (DC) linear scaling technique, which divides the entire system into several fragments, is applied to the VQE algorithm based on the unitary coupled cluster (UCC) method, denoted as DC-qUCC/VQE, to reduce the number of required qubits. The unitarity of the UCC ansatz that enables the evaluation of the total energy as well as various molecular properties as expectation values can be easily implemented on quantum devices because the quantum gates are unitary operators themselves. Based on this feature, the present DC-qUCC/VQE algorithm is designed to conserve the total number of electrons in the entire system using the density matrix evaluated on a quantum computer. Numerical assessments clarified that the energy errors of the DC-qUCC/VQE calculations decrease by using the constraint of the total number of electrons. Furthermore, the DC-qUCC/VQE algorithm could reduce the number of quantum gates and shows the possibility of decreasing incoherent errors.

本文言語English
ジャーナルJournal of chemical theory and computation
DOI
出版ステータスAccepted/In press - 2022

ASJC Scopus subject areas

  • コンピュータ サイエンスの応用
  • 物理化学および理論化学

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