A quantum algorithm of SU([Formula: see text]) Yang–Mills theory is formulated in terms of quantum circuits. It can nonperturbatively calculate the Dyson series and scattering amplitudes with polynomial complexity. The gauge fields in the interaction picture are discretized on the same footing with the lattice fermions in momentum space to avoid the fermion doubling and the gauge symmetry breaking problems. Applying the algorithm to the quantum simulation of quantum chromodynamics, the quark and gluon’s wave functions evolved from the initial states by the interactions can be observed and the information from wave functions can be extracted at any discrete time. This may help us understand the natures of the hadronization which has been an outstanding question of significant implication on high energy phenomenological studies.

中文翻译：

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Yang-Mills 理论中强子化的数字量子模拟

SU([公式：见正文]) Yang-Mills 理论的量子算法是根据量子电路制定的。它可以非微扰地计算具有多项式复杂度的戴森级数和散射幅度。相互作用图中的规范场与动量空间中的晶格费米子在同一基础上离散化，以避免费米子倍增和规范对称性破坏问题。将该算法应用于量子色动力学的量子模拟，可以观察到夸克和胶子通过相互作用从初始状态演化而来的波函数，并且可以在任何离散时间提取波函数的信息。这可能有助于我们了解强子化的性质，这是对高能现象学研究具有重要意义的一个突出问题。