论文标题

使用量子计算机的量子最佳控制:具有机器学习优化的混合算法

Quantum optimal control with quantum computers: an hybrid algorithm featuring machine learning optimization

论文作者

Castaldo, Davide, Rosa, Marta, Corni, Stefano

论文摘要

我们开发了一种杂化量子古典算法,以解决受激光脉冲的分子的最佳种群转移问题。在量子计算机上模拟了激光脉冲下分子波函数的演变,而最佳脉冲是通过机器学习(进化)算法迭代形状的。一种在量子计算机上编码的方法,讨论了N-电机波函数,得出其量子模拟的电路,并讨论了操作数量的可扩展性。提供了嘈杂的中间量子量子设备(IBM Q X2)的性能,以评估当前的技术差距。此外,在量子模拟器上测试了混合算法,以将进化算法的性能与标准算法进行比较。我们的结果表明,这种算法能够使用下坡单纯形方法优于优化,并提供与Rabitz等更高级(但量子不友好)算法相当的性能。

We develop an hybrid quantum-classical algorithm to solve an optimal population transfer problem for a molecule subject to a laser pulse. The evolution of the molecular wavefunction under the laser pulse is simulated on a quantum computer, while the optimal pulse is iteratively shaped via a machine learning (evolutionary) algorithm. A method to encode on the quantum computer the n-electrons wavefunction is discussed, the circuits accomplishing its quantum simulation are derived and the scalability in terms of number of operations is discussed. Performance on Noisy Intermediate-Scale Quantum devices (IBM Q X2) is provided to assess the current technological gap. Furthermore the hybrid algorithm is tested on a quantum emulator to compare performance of the evolutionary algorithm with standard ones. Our results show that such algorithms are able to outperform the optimization with a downhill simplex method and provide performance comparable to more advanced (but quantum-computer unfriendly) algorithms such as Rabitz's.

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