Time and spatial parity operations with trapped ions
Xiao-Hang Cheng, Unai Alvarez-Rodriguez, Lucas Lamata, Xi Chen, E. Solano · Physical Review A · 2015
We propose a physical implementation of time and spatial parity transformations, as well as Galilean boosts, in a trapped-ion quantum simulator. By embedding the simulated model into an enlarged simulating Hilbert space, these fundamental symmetry operations can be fully realized and measured with ion traps. We illustrate our proposal with analytical and numerical techniques of prototypical examples with state-of-the-art trapped-ion platforms. These results pave the way for the realization of time and spatial parity transformations in other models and quantum platforms.