Circuit-Depth Reduction of Unitary-Coupled-Cluster Ansatz by Energy Sorting

• URL: http://arxiv.org/abs/2106.15210v2
• Date: Fri, 14 Apr 2023 07:07:35 GMT
• Title: Circuit-Depth Reduction of Unitary-Coupled-Cluster Ansatz by Energy Sorting
• Authors: Yi Fan, Changsu Cao, Xusheng Xu, Zhenyu Li, Dingshun Lv, Man-Hong Yung
• Abstract summary: Quantum computation represents a revolutionary approach for solving problems in quantum chemistry. Due to the limited quantum resources in the current noisy intermediate-scale quantum (NISQ) devices, quantum algorithms for large chemical systems remains a major task. In this work, we demonstrate that the circuit depth of the unitary coupled cluster (UCC) and UCC-based ansatzes can be significantly reduced by an energy-sorting strategy.
• Score: 3.0998962250161783
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum computation represents a revolutionary approach for solving problems in quantum chemistry. However, due to the limited quantum resources in the current noisy intermediate-scale quantum (NISQ) devices, quantum algorithms for large chemical systems remains a major task. In this work, we demonstrate that the circuit depth of the unitary coupled cluster (UCC) and UCC-based ansatzes in the algorithm of variational quantum eigensolver can be significantly reduced by an energy-sorting strategy. Specifically, subsets of excitation operators are first pre-screened from the operator pool according to its contribution to the total energy. The quantum circuit ansatz is then iteratively constructed until the convergence of the final energy to a typical accuracy. For demonstration, this method has been successfully applied to molecular and periodic systems. Particularly, a reduction of 50\%$\sim$98\% in the number of operators is observed while retaining the accuracy of the origin UCCSD operator pools. This method can be straightforwardly extended to general parametric variational ansatzes.

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