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An attempt is made to quantum simulate the topological classification, suchas winding number, geometric phase and symmetry properties for a quantumsimulated Kitaev chain. We find, {\alpha} (ratio between the spin-orbitcoupling and magnetic field) and the range of momentum space of consideration,which plays a crucial role for the topological classification. We showexplicitly that the topological quantum phase transition does not occurs at k =0 limit for the quantum simulated Kitaev chain. We observe that thequasi-particle mass of the Majorana mode plays the significant role intopological quantum phase transition. We also show that the symmetry propertiesof simulated Kitaev chain is the same with original Kitaev chain. The exactsolution of simulated Kitaev chain is given. This work provides a newperspective on new emerging quantum simulator and also for the topologicalstate of matter.

A study of topological characterization and symmetries for a quantum simulated Kitaev chain