论文标题
用riemannian梯度流优化量子电路
Optimizing quantum circuits with Riemannian gradient flow
论文作者
论文摘要
变异量子算法是可以在当前可用的量子计算机上执行的有前途的算法类别。在大多数设置中，使用经典优化器优化了变量电路的自由参数，该优化器更新欧几里得几何学中的参数。由于量子电路是特殊统一组的要素，因此我们可以考虑取决于该组结构的替代优化观点。在这项工作中，我们研究了对特殊统一组的Riemannian优化方案，并讨论了其在量子计算机上的实现。我们说明，由此产生的Riemannian梯度流算法具有对深电路的优化属性，并且该算法的大致版本可以在近期硬件上执行。
Variational quantum algorithms are a promising class of algorithms that can be performed on currently available quantum computers. In most settings, the free parameters of a variational circuit are optimized using a classical optimizer that updates parameters in Euclidean geometry. Since quantum circuits are elements of the special unitary group, we can consider an alternative optimization perspective that depends on the structure of this group. In this work, we investigate a Riemannian optimization scheme over the special unitary group and we discuss its implementation on a quantum computer. We illustrate that the resulting Riemannian gradient-flow algorithm has favorable optimization properties for deep circuits and that an approximate version of this algorithm can be performed on near-term hardware.
