论文标题
时间演变的硬件有效的变量量子算法
Hardware-efficient variational quantum algorithms for time evolution
论文作者
论文摘要
参数化量子电路是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变的变异模拟。为了充分利用量子硬件，各种算法必须尽可能高效。在这里，我们提出了与时间相关的变分原理的替代方法，这些原理是硬件有效的，不需要矩阵反转。关于假想时间的演变，我们的方法大大减少了硬件要求。关于实时演变，高精度可能很重要，我们提出了系统上提高准确性和硬件要求的算法。我们使用与局部相互作用的量子哈密顿人来数字分析算法的性能。
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.
