论文标题
通过静态有效的lindbladians在嘈杂的量子计算机上描述嘈杂的量子计算机的TROTTERTER时间演变
Describing Trotterized Time Evolutions on Noisy Quantum Computers via Static Effective Lindbladians
论文作者
论文摘要
我们考虑嘈杂的量子计算机能够以忠实的方式模拟量子旋转系统的时间演变的程度。给定一组关于在电路级别上对噪声作用的噪声的方式的特定假设，我们显示如何重新解释噪声的效果，以修改要模拟的原始系统的动力学。特别是，我们发现这种修改对应于引入静态lindblad噪声项，除原始的统一动力学外，这些噪声术语除了起作用。这些噪声项的形式不仅取决于设备上发生的基本噪声过程，还取决于原始的单一动力学以及在设备上模拟这些动力学的方式，即选择量子算法的选择。我们将此有效模拟的开放量子系统称为嘈杂算法模型。我们的结果通过数值分析得到了证实。
We consider the extent to which a noisy quantum computer is able to simulate the time evolution of a quantum spin system in a faithful manner. Given a specific set of assumptions regarding the manner in which noise acting on such a device can be modelled at the circuit level, we show how the effects of noise can be reinterpreted as a modification to the dynamics of the original system being simulated. In particular, we find that this modification corresponds to the introduction of static Lindblad noise terms, which act in addition to the original unitary dynamics. The form of these noise terms depends not only on the underlying noise processes occurring on the device, but also on the original unitary dynamics, as well as the manner in which these dynamics are simulated on the device, i.e., the choice of quantum algorithm. We call this effectively simulated open quantum system the noisy algorithm model. Our results are confirmed through numerical analysis.
