论文标题
凝结物质系统的变分量子电路深度的缩放
Scaling of variational quantum circuit depth for condensed matter systems
论文作者
论文摘要
我们基于基于有限深度量子电路编码当地汉密尔顿人的基态的差异量子质量的准确性。我们表明，在间隙阶段中，准确性随电路深度呈指数提高。在试图编码保亲态的汉密尔顿人的基础状态时，我们观察到了两个政权。有限的深度制度，其准确性随着层数的数量而缓慢提高，有限尺寸的制度在该方面再次改善。这两个制度之间的交叉发生在关键数量的层，其值随系统的大小线性增加。我们讨论了这些观察结果的含义，即在比较不同的变异ansatz及其在描述关键基础状态方面的有效性。
We benchmark the accuracy of a variational quantum eigensolver based on a finite-depth quantum circuit encoding ground state of local Hamiltonians. We show that in gapped phases, the accuracy improves exponentially with the depth of the circuit. When trying to encode the ground state of conformally invariant Hamiltonians, we observe two regimes. A finite-depth regime, where the accuracy improves slowly with the number of layers, and a finite-size regime where it improves again exponentially. The cross-over between the two regimes happens at a critical number of layers whose value increases linearly with the size of the system. We discuss the implication of these observations in the context of comparing different variational ansatz and their effectiveness in describing critical ground states.
