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arXiv 2409.06340nucl-th
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利用量子计算提取核共振

Quantum computing for extracting nuclear resonances

Hantao Zhang, Dong Bai, Zhongzhou Ren

AI总结:

本文将量子计算与复标度法结合,通过把非厄米算符嵌入高维幺正算符并优化双基矢测量线路,成功在 α+α 系统中提取与经典对角化一致的共振复能量。

摘要:

量子计算在核物理中的应用日益广泛。本工作将量子计算与复标度方法相结合,以解决共振问题。由于复标度引入了非厄米性,标准量子计算无法直接求解复本征值。因此,有必要将非厄米算符嵌入到更高维的幺正算符中。此外,对于两个基矢的情形,我们改进了传统的直接测量方法,并优化了量子线路。最终,以 α+α 系统为例,我们从量子计算机获得的复本征能量与直接对 Hamiltonian 对角化所得结果一致。

英文摘要:

Quantum computing has been increasingly applied in nuclear physics. In this work, we combine quantum computing with the complex scaling method to address the resonance problem. Due to the non-Hermiticity introduced by complex scaling, standard quantum computing cannot solve for complex eigenvalues directly. Therefore, it is necessary to embed the non-Hermitian operator into a larger dimensional unitary operator. Additionally, for the case of two basis vectors, we improve the traditional direct measurement method and optimize the quantum circuit. Ultimately, using the $α+α$ system as an example, we obtain the complex eigenenergies from the quantum computer that are consistent with those obtained from direct Hamiltonian diagonalization.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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