  The chiral anomaly-induced negative magnetoresistance and non-trivial Berry
phase are two fundamental transport properties associated with the topological
properties of Weyl fermions. In this work, we report the quantum transport of
TaP single crystals in magnetic field up to 31T. Through the analyses of our
magnetotransport data, we show TaP has the signatures of a Weyl state,
including light effective quasiparticle masses, ultrahigh carrier mobility, as
well as negative longitudinal magnetoresistance. Furthermore, we have
generalized the Lifshitz-Kosevich formula for Shubnikov-de Haas (SdH)
oscillations with multi-frequencies, and determined the non-trivial Berry phase
of Pi for multiple Fermi pockets in TaP through the direct fitting of the
quantum oscillations. In high fields, we also probed signatures of Zeeman
splitting, from which the Land\'e g-factor is extracted.
