This study investigates the behavior of wave functions in parity-time (𝒫𝒯) symmetric quantum systems, focusing on their spread and localization. Using a tight-binding chain model, the authors explore the dynamics under 𝒫𝒯 symmetry and its breaking. By employing innovative quantum information measures, such as complexity, entropy, and inverse participation ratio in Krylov space, they quantify the wave function’s distribution. In the 𝒫𝒯-symmetric phase, the wave function spreads evenly, while 𝒫𝒯 symmetry breaking leads to localization, exemplifying the non-Hermitian skin effect and edge modes.