论文标题
使用潜在功能的自适应近似值对Schrödinger动力学的数字量子模拟
Digital quantum simulation of Schrödinger dynamics using adaptive approximations of potential functions
论文作者
论文摘要
连续变量量子系统的数字量子仿真（DQS）在位置基础上需要有效实施对角线单位，以近似于势能函数产生的时间演化运算符。在这项工作中，我们提供有效的实现，适用于具有均匀或适应性选择子域的分段多项式可近似的潜在功能。为了固定的近似精度，我们显示自适应网格如何以引入少量辅助量子的成本显着降低总门计数。我们以物理动机和人为设计的潜在功能来证明电路结构，并讨论了它们对更高维度的概括。
Digital quantum simulation (DQS) of continuous-variable quantum systems in the position basis requires efficient implementation of diagonal unitaries approximating the time evolution operator generated by the potential energy function. In this work, we provide efficient implementations suitable for potential functions approximable by piecewise polynomials, with either uniform or adaptively chosen subdomains. For a fixed precision of approximation, we show how adaptive grids can significantly reduce the total gate count at the cost of introducing a small number of ancillary qubits. We demonstrate the circuit construction with both physically motivated and artificially designed potential functions, and discuss their generalizations to higher dimensions.
