论文标题
将AGP在量子计算机上关联
Correlating AGP on a quantum computer
论文作者
论文摘要
对于近期量子计算硬件上的各种算法，非常需要使用非常准确的Ansatze，而实施成本较低。最近的研究表明，反对称的Geminal功率（AGP）波函数可能是Ansatze描述具有强度配对相关系统的系统的绝佳起点，因为这些系统发生在超导体中。在这项工作中，我们展示了如何在具有电路深度，CNOT数量的量子计算机上有效实现AGP，并且在系统大小上是线性的测量数量。使用AGP作为初始参考，我们提出并在AGP上实施了一个单一相关器，并以配对汉密尔顿的基础状态进行基准测试。结果显示在该模型哈密顿量的所有相关状态下的基态能量高度准确。
For variational algorithms on the near term quantum computing hardware, it is highly desirable to use very accurate ansatze with low implementation cost. Recent studies have shown that the antisymmetrized geminal power (AGP) wavefunction can be an excellent starting point for ansatze describing systems with strong pairing correlations, as those occurring in superconductors. In this work, we show how AGP can be efficiently implemented on a quantum computer with circuit depth, number of CNOTs, and number of measurements being linear in system size. Using AGP as the initial reference, we propose and implement a unitary correlator on AGP and benchmark it on the ground state of the pairing Hamiltonian. The results show highly accurate ground state energies in all correlation regimes of this model Hamiltonian.
