The classical public-key schemes are based on number theory, such as integer factorization and discrete logarithm. In 1994, P.W. Shor proposed an algorithm to solve these problems in polynomial time using quantum computers. Recent advancements in quantum computing open the door to the possibility of developing quantum computers sophisticated enough to solve these problems. Post-quantum cryptography (PQC) is resistant against quantum attacks. The aim of this paper is to evaluate the performance of different post-quantum public-key schemes for constrained-resources smart mobile devices; and to give a comparison between the studied post-quantum schemes in terms of computational time, required memory, and power consumption.