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arXiv 2402.17993quant-phphysics.chem-ph
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VQE-UCCSD计算结合FMO方案揭示的尺寸一致性与轨道不变性问题

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

Kenji Sugisaki, Tatsuya Nakano, Yuji Mochizuki

AI总结:

本研究通过GPU加速量子模拟器,将FMO方案与VQE-UCCSD结合,对氢键体系进行计算,发现局域分子轨道能改善尺寸一致性与轨道不变性,且GPU加速显著。

摘要:

片段分子轨道(FMO)方案是一种流行的基于碎片化的方法,在量子计算机上的量子化学计算中具有使电路平坦化的潜在优势。在本研究中,我们使用GPU加速的量子模拟器(cuQuantum)将FMO计算的电子关联部分作为酉耦合簇单双激发(UCCSD)与变分量子本征求解器(VQE)相结合,对氢键(FH)$_3$和(FH)$_2$-H$_2$O体系采用STO-3G基组进行了计算。VQE-UCCD计算使用了正则和局域分子轨道(MO)集合,并从受Trotter误差影响的尺寸一致性和轨道不变性的角度对结果进行了检验。结果发现,使用局域MO会得到更好的结果,尤其是对于(FH)$_2$-H$_2$O体系。对于具有更多量子比特数的模拟,GPU加速效果显著,对于18量子比特体系,加速比约为6.7–7.7倍。

英文摘要:

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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