论文标题
有效的两电子ANSATZ，用于在量子计算机上基准测试量子化学
Efficient Two-Electron Ansatz for Benchmarking Quantum Chemistry on a Quantum Computer
论文作者
论文摘要
量子化学为近期量子计算提供了关键的应用，但是噪声的存在非常复杂。在这项工作中，我们提出了一种有效的ANSATZ，用于计算混合量子古典算法中的两电子原子和分子。 ANSATZ利用了两电子系统的基本结构，并分别在量子和古典计算机上处理非本地和局部自由度。在这里，非本地的自由度量表相对于基集大小线性线性，给出了一个线性的ANSATZ，只有$ \ MATHCAL {O}（1）$减少状态层析成像所需的电路准备。我们在两台公开可用的量子计算机上实现此基准测试，并计算出$ {\ rm h} _ \ textrm {2}^{} {} $的精确分离曲线，以计算4个和6个Qubit计算的计算。
Quantum chemistry provides key applications for near-term quantum computing, but these are greatly complicated by the presence of noise. In this work we present an efficient ansatz for the computation of two-electron atoms and molecules within a hybrid quantum-classical algorithm. The ansatz exploits the fundamental structure of the two-electron system, and treating the nonlocal and local degrees of freedom on the quantum and classical computers, respectively. Here the nonlocal degrees of freedom scale linearly with respect to basis-set size, giving a linear ansatz with only $\mathcal{O}(1)$ circuit preparations required for reduced state tomography. We implement this benchmark with error mitigation on two publicly available quantum computers, calculating accurate dissociation curves for 4- and 6- qubit calculations of ${\rm H}_\textrm{2}^{}$ and ${\rm H}_\textrm{3}^+$.
