Parameterized quantum circuits are a promising technology for achieving a quantum advantage. An important application is the variational simulation of time evolution of quantum systems. To make the most of quantum hardware, variational algorithms need to be as hardware-efficient as possible. Here we present alternatives to the time-dependent variational principle that are hardware-efficient and do not require matrix inversion. In relation to imaginary time evolution, our approach significantly reduces the hardware requirements. With regards to real time evolution, where high precision can be important, we present algorithms of systematically increasing accuracy and hardware requirements. We numerically analyze the performance of our algorithms using quantum Hamiltonians with local interactions.

中文翻译：

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用于时间演化的硬件高效变分量子算法

参数化量子电路是一种实现量子优势的有前途的技术。一个重要的应用是量子系统时间演化的变分模拟。为了充分利用量子硬件，变分算法需要尽可能提高硬件效率。在这里，我们提出了硬件效率高且不需要矩阵求逆的时间相关变分原理的替代方案。关于虚时间演化，我们的方法显着降低了硬件要求。关于实时进化，高精度可能很重要，我们提出了系统地提高精度和硬件要求的算法。我们使用具有局部相互作用的量子哈密顿量对我们算法的性能进行数值分析。