论文标题

在量子计算机上模拟femtouniverse

Simulating the Femtouniverse on a Quantum Computer

论文作者

Butt, Nouman, Draper, Patrick, Shen, Jiayu

论文摘要

我们使用量子模拟计算有限体积的4D SU(2)Yang-Mills的低洼光谱。与希尔伯特空间的小体积晶格截断相反,我们采用环形尺寸降低到``femtouniverse''矩阵量子力学模型。在此限制中,理论等于三个相互作用的粒子在某些边界条件下移动的三个相互作用的粒子的量子力学,我们使用一定的边界量子量和量子量的量子量。在小/大容量过渡点附近的粘合球质量比,与大容量的欧几里得晶格模拟找到了质量良好的一致性。

We compute the low-lying spectrum of 4D SU(2) Yang-Mills in a finite volume using quantum simulations. In contrast to small-volume lattice truncations of the Hilbert space, we employ toroidal dimensional reduction to the ``femtouniverse" matrix quantum mechanics model. In this limit the theory is equivalent to the quantum mechanics of three interacting particles moving inside a 3-ball with certain boundary conditions. We use the variational quantum eigensolver and quantum subspace expansion techniques to compute the string tension to glueball mass ratio near the small/large-volume transition point, finding qualitatively good agreement with large volume Euclidean lattice simulations.

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