We draw the current landscape of quantum algorithms, by classifying about 130 quantum algorithms, according to the fundamental mathematical problems they solve, their real-world applications, the main subroutines they employ, and several other relevant criteria. The primary objectives include revealing trends of algorithms, identifying promising fields for implementations in the NISQ era, and identifying the key algorithmic primitives that power quantum advantage.

Keywords: Quantum Algorithms, Overview, Dependencies, NISQ, LSQ, Heuristics, Oracular, Promise, Sampling, Computational Model.