论文标题
在近期量子处理器上的时域中绿色功能的有效计算
Effective calculation of the Green's function in the time domain on near-term quantum processors
论文作者
论文摘要
我们提出了一种改进的量子算法，以通过实时传播来计算绿色的功能，并使用它来计算2，3-和4个位点哈伯德模型的延迟绿色功能。与文献中先前建议的操作相比，这种新颖的方案大大减少了受控操作的数量。考虑到2个站点的哈伯德模型，我们表明，通过对汉密尔顿人的一个单一Pauli组件进行指示，使我们能够在实际超管量子量子流程器上执行计算，从而使这种减少非常了不起。
We propose an improved quantum algorithm to calculate the Green's function through real-time propagation, and use it to compute the retarded Green's function for the 2-, 3- and 4-site Hubbard models. This novel protocol significantly reduces the number of controlled operations when compared to those previously suggested in literature. Such reduction is quite remarkable when considering the 2-site Hubbard model, for which we show that it is possible to obtain the exact time propagation of the $|N\pm 1\rangle$ states by exponentiating one single Pauli component of the Hamiltonian, allowing us to perform the calculations on an actual superconducting quantum processor.
