Size-consistency and orbital-invariance issues revealed by VQE-UCCSD calculations with the FMO scheme

• URL: http://arxiv.org/abs/2402.17993v2
• Date: Wed, 13 Mar 2024 22:22:13 GMT
• Title: Size-consistency and orbital-invariance issues revealed by VQE-UCCSD calculations with the FMO scheme
• Authors: Kenji Sugisaki, Tatsuya Nakano, Yuji Mochizuki,
• Abstract summary: fragment molecular orbital (FMO) scheme is one of the popular fragmentation-based methods. We used a GPU-accelerated quantum simulator (cuQuantum) to perform the electron correlation part of the FMO calculation.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The fragment molecular orbital (FMO) scheme is one of the popular fragmentation-based methods and has the potential advantage of making the circuit flat in quantum chemical calculations on quantum computers. In this study, we used a GPU-accelerated quantum simulator (cuQuantum) to perform the electron correlation part of the FMO calculation as unitary coupled-cluster singles and doubles (UCCSD) with the variational quantum eigensolver (VQE) for hydrogen-bonded (FH)$_3$ and (FH)$_2$-H$_2$O systems with the STO-3G basis set. VQE-UCCD calculations were performed using both canonical and localized MO sets, and the results were examined from the point of view of size-consistency and orbital-invariance affected by the Trotter error. It was found that the use of localized MO leads to better results, especially for (FH)$_2$-H$_2$O. The GPU acceleration was substantial for the simulations with larger numbers of qubits, and was about a factor of 6.7--7.7 for 18 qubit systems.

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