论文标题
SU(2)量子计算机上的晶格量规理论的自我降低铲子电路
Self-mitigating Trotter circuits for SU(2) lattice gauge theory on a quantum computer
论文作者
论文摘要
量子计算机提供了在Minkowski而不是欧几里得时期实施晶格量规理论的可能性,从而允许计算实时进化的过程。在这项工作中,SU(2)中的纯量规理论中的计算能够显示实时穿越空间晶格的激发运动的运动。这是通过使用简单但功能强大的方法来缓解错误的方法来完成的,该方法在及时使用原始电路。对于两个平面晶格,从包含数百个CNOT大门的电路中获得有意义的结果。相同的方法用于五个plaquette晶格,其中计算表明可以通过后续缓解可以减少残留系统效应。
Quantum computers offer the possibility to implement lattice gauge theory in Minkowski rather than Euclidean spacetime, thus allowing calculations of processes that evolve in real time. In this work, calculations within SU(2) pure gauge theory are able to show the motion of an excitation traveling across a spatial lattice in real time. This is accomplished by using a simple yet powerful method for error mitigation, where the original circuit is used both forward and backward in time. For a two-plaquette lattice, meaningful results are obtained from a circuit containing hundreds of CNOT gates. The same method is used for a five-plaquette lattice, where calculations show that residual systematic effects can be reduced through follow-up mitigation.