论文标题

在存在噪声的情况下,保留各种量子本质体的对称性

Preserving Symmetries for Variational Quantum Eigensolvers in the Presence of Noise

论文作者

Barron, George S., Gard, Bryan T., Altman, Orien J., Mayhall, Nicholas J., Barnes, Edwin, Economou, Sophia E.

论文摘要

嘈杂的中间量子计算机最有前途的应用之一是使用变异量子特征素层模拟分子哈密顿量。我们表明,与其他广泛可用的Ansatze相比,VQE Ansatz中模拟的哈密顿量的对称性降低了经典和量子资源。通过模拟h $ _2 $分子,我们验证这些改进是否在存在噪声的情况下持续存在。使用来自真实设备的噪声模型,使用IBM软件执行此仿真。我们还展示了这些技术如何使用嘈杂的处理器来找到各种对称性的分子激发态。我们使用缓解错误技术来进一步提高结果的质量。

One of the most promising applications of noisy intermediate-scale quantum computers is the simulation of molecular Hamiltonians using the variational quantum eigensolver. We show that encoding symmetries of the simulated Hamiltonian in the VQE ansatz reduces both classical and quantum resources compared to other, widely available ansatze. Through simulations of the H$_2$ molecule, we verify that these improvements persist in the presence of noise. This simulation is performed with IBM software using noise models from real devices. We also demonstrate how these techniques can be used to find molecular excited states of various symmetries using a noisy processor. We use error mitigation techniques to further improve the quality of our results.

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