Widely considered the gold standard for NAMD simulations, the multiconfigurational time-dependent Hartree (MCTDH) approach is highly accurate, but only computationally feasible for systems with minimal degrees of freedom and generally requires pre-computed potential energy surfaces. Despite the recent the development of multi-layer (ML) MCTDH methods, that make possible applications of MCTDH to more complex systems, at present, on-the-fly dynamics remain out of reach. Ab-initio multiple spawning (AIMS) is an approximate implementation of a formally exact spawning Gaussian wavepacket approach that can account for quantum effects. However, this method is expensive, requiring some remedies to the computational cost. Of the approximate methods available, fewest switches surface hopping (FSSH) and Ehrenfest dynamics are, arguably, the most popular. Both employ classical nuclear trajectories and have been used in ab-initio on-the-fly simulations. Unfortunately, neither approach accounts for nua) Electronic mail: cisborn@ucmerced.edu b) ananth@cornell.edu clear quantum effects, and both suffer from strong coherence and slow decoherence, necessitating additional approximations. Nonadiabatic semiclassical implementations for onthe-fly simulations are in their infancy, with the adhoc symmetrical quasiclassical (SQC) method showing some promise. The linearized semiclassical (LSC) approach is a rigorous alternative to the SQC approximation that two of us recently demonstrated can be used for on-the-fly simulations of excited state dynamics. LSC offers two key advantages: (i) it directly approximates the quantum correlation function allowing us to compute experimental observables and (ii) the implementation involves evolving independent classical trajectories from an initial quantum Wigner distribution and does not involve any parameters unlike FSSH (decoherence corrections) or AIMS (spawning thresholds). LSC is highly parallelizable with computational expense that scales almost classically with system dimensions, making it a very promising candidate for on-the-fly simulations of excited state dynamics in condensed phase environments.