论文标题

量子计算机上的粗壮涂抹

Stout Smearing on a Quantum Computer

论文作者

Gustafson, Erik J.

论文摘要

晶格场理论中仪表场构型的涂抹,通过抑制相关函数的高能量模式来改善晶格模拟的结果。在量子模拟中,当近似诸如Trotterterization之类的时间演化算子时,引入了高动能本征。尽管存在改进的托特产品公式以减少错误,但相对于资源成本,它们的准确性回报率降低。因此,具有比改进的猪肉公式的算法更少的算法是可取的。在这项工作中,我开发了一种表示量子涂抹的不可知论方法,并表明它在离散的非亚伯仪理论中降低了耦合到高能模式$ d_4 $

Smearing of gauge-field configurations in lattice field theory improves the results of lattice simulations by suppressing high energy modes from correlation functions. In quantum simulations, high kinetic energy eigenstates are introduced when the time evolution operator is approximated such as Trotterization. While improved Trotter product formulae exist to reduce the errors, they have diminishing accuracy returns with respect to resource costs. Therefore having an algorithm that has fewer resources than an improved Trotter formula is desirable. In this work I develop a representation agnostic method for quantum smearing and show that it reduces the coupling to high energy modes in the discrete nonabelian gauge theory $D_4$

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