论文标题
较浅的量子电路的自适应结构，并具有量子自旋预测的费米子系统
Adaptive construction of shallower quantum circuits with quantum spin projection for fermionic systems
论文作者
论文摘要
量子计算是利用分子系统中强相关性的有前途的方法。但是，当前的设备仅允许具有浅层电路深度的杂化量子古典算法，例如变异量子本质量（VQE）。在这项研究中，我们报告了哈密顿对称性在适应构建VQE电路方面的重要性。这种处理通常违反对称性，从而恶化忠诚度与精确溶液的收敛性，并最终导致更深的电路。我们证明，对称性投入可以通过将量子状态保持在正确的对称空间中，以减少整体门操作，从而为此问题提供简单而有效的解决方案。该方案还揭示了保持对称性在计算分子特性中的重要性，如我们的说明性计算所示。
Quantum computing is a promising approach to harnessing strong correlation in molecular systems; however, current devices only allow for hybrid quantum-classical algorithms with a shallow circuit depth, such as the variational quantum eigensolver (VQE). In this study, we report the importance of the Hamiltonian symmetry in constructing VQE circuits adaptively. This treatment often violates symmetry, thereby deteriorating the convergence of fidelity to the exact solution, and ultimately resulting in deeper circuits. We demonstrate that symmetry-projection can provide a simple yet effective solution to this problem, by keeping the quantum state in the correct symmetry space, to reduce the overall gate operations. The scheme also reveals the significance of preserving symmetry in computing molecular properties, as demonstrated in our illustrative calculations.
