论文标题
从$ W $转换为中性原子系统的Rydberg-Blockade制度中的Greenberger-Horne-Zeilinger国家：基于动力对称的方法
Conversion from $W$ to Greenberger-Horne-Zeilinger states in the Rydberg-blockade regime of neutral-atom systems: Dynamical-symmetry-based approach
论文作者
论文摘要
我们研究了在中性原子系统的Rydberg-blockade System的两种最大纠结的多Quibit状态之间确定性转换的可能性，即$ W $和Greenberger-Horne-Horne-Zeilinger（GHz）状态，每个原子都有四个原子均受到四个外部激光脉冲。 $ W $州及其GHz对应物之间的这种相互转换最近是使用捷径的方法来解决的，这是基于Lewis-Riesenfeld不变性的更精确的技术[R.-H。 Zheng {\ em等人}，物理。修订版A {\ bf 101}，012345（2020）]。在最近的这项工作中，我们使用根本不同的方法将$ w $重新访问了GHz状态转化问题，该方法基于系统的动态对称性和其允许发展的谎言代数参数化。与先前使用的基于不变的方法相反，该方法导致一种状态转化方案，其特征是外部激光器的时间依赖性的Rabi频率，我们的频率也可以以时间无关的Rabi频率产生一种。此功能使我们的协议更容易实验地适用，并具有额外的优势，即它允许在使用相同的总激光脉冲能量的情况下，在短时间内进行所需的状态转换。
We investigate the possibilities for a deterministic conversion between two important types of maximally entangled multiqubit states, namely, $W$ and Greenberger-Horne-Zeilinger (GHZ) states, in the Rydberg-blockade regime of a neutral-atom system where each atom is subject to four external laser pulses. Such interconversions between $W$ states and their GHZ counterparts have quite recently been addressed using the method of shortcuts to adiabaticity, more precisely techniques based on Lewis-Riesenfeld invariants [R.-H. Zheng {\em et al.}, Phys. Rev. A {\bf 101}, 012345 (2020)]. Motivated in part by this recent work, we revisit the $W$ to GHZ state-conversion problem using a fundamentally different approach, which is based on the dynamical symmetries of the system and a Lie-algebraic parametrization of its permissible evolutions. In contrast to the previously used invariant-based approach, which leads to a state-conversion protocol characterized by strongly time-dependent Rabi frequencies of external lasers, ours can also yield one with time-independent Rabi frequencies. This feature makes our protocol more easily applicable experimentally, with the added advantage that it allows the desired state conversion to be carried out in a significantly shorter time with the same total laser pulse energy used.
