Abstract
Here we provide a scheme of transforming the one-axis twisting Hamiltonian into a two-axis twisting Hamiltonian based on the higher-order Trotter-Suzuki approximation. Compared with the paper by Liu et al. [Phys. Rev. Lett. 107, 013601 (2011)], our method can reduce the number of controlling cycles from 1000 to 50. Moreover, it is also spin number independent and takes a shorter optimal evolution time as compared with the method of Shen et al. [Phys. Rev. A 87, 051801 (2013)]. The corresponding error analysis is also provided.
- Received 30 March 2014
DOI:https://doi.org/10.1103/PhysRevA.90.013604
©2014 American Physical Society