论文标题
量子步行（1+1） - 二维时空，用于NISQ中高阶近似的Majorana动力学
Quantum walk in (1+1)-dimensional spacetime for Majorana dynamics with high order approximation in NISQ
论文作者
论文摘要
在这项研究中，我们表明，当洛伦兹协方差限制的硬币操作员且初始状态满足Majoraana条件时，量子步行可以描述Majorana fermion。通过数值模拟证明了Majorana fermion的时间演变，并在IBM量子系统提供的实际量子设备上实验运行。为了减少由于近似值而导致的错误，我们提出了一种新的有效方法，以在近期量子计算机中实现二阶准确性，而不会增加量子门电路的复杂性与一阶近似相比。我们表明，由于Majorana条件的严格限制，与Dirac粒子相比，静止的Majorana fermion（动量的期望值为零）可以很好地定义，其行为更敏感地取决于近似的准确性。
In this study, we show that quantum walk can describe a Majorana fermion when the coin operator constrained by Lorentz covariance and the initial state satisfies the Majorana condition. The time evolution of a Majorana fermion is demonstrated with the numerical simulations and experimentally runs on a real quantum device provided by IBM Quantum System. To reduce errors due to approximation, we proposed a new efficient way to achieve second order accuracy in the near-term quantum computer without increase the complexity of quantum gate circuitry compared with the first order approximation. We show that rest Majorana fermion (expectation value of momentum is zero) can be well defined and its behavior depends more sensitively on the accuracy of the approximation than a Dirac particle due to the stringent constraints of Majorana condition.
