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基于广义本征值方法的量子计算机哈密顿谱

Hamiltonian spectra in quantum computers through the generalized eigenvalue method

Valery Simonyan, Greg Ridgway, Paulo Bedaque

arXiv 2608.08181首次发表:更新:

AI 中文总结

该研究将广义本征值方法应用于量子计算机生成的场论关联函数以提取哈密顿谱,经经典模拟和量子硬件验证,其效率优于基于关联函数傅里叶变换的方法。

AI 中文摘要

量子计算机可生成场论的实时关联函数,通过将广义本征值问题适配到这些关联函数,可直接提取能量本征值。该方法经经典模拟和量子硬件测试,成功分辨出多个低能能级,与精确对角化结果一致。与基于关联函数傅里叶变换的替代谱确定方法相比,所提方法效率显著更高。

英文摘要

Quantum computers can generate real-time correlators of field theories. By adapting the generalized eigenvalue problem to these correlators, energy eigenvalues can be extracted directly. The method is tested using both classical simulations and quantum hardware, successfully resolving several low-lying energy levels in agreement with exact diagonalization. Comparison with an alternative spectrum determination based on the Fourier transform of correlators shows that the proposed approach is substantially more efficient.

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