It was shown that many quantum algorithms (e.g. linear systems, Hamiltonian simulation, quantum phase estimation) can be thought of essentially as applications of the [Quantum Singular Value Transform (QSVT)][1]. Even more recently, it was proposed that QSVT could lead to a [Grand Unification of Quantum Algorithms][2]. Here is a [recent talk][3] given on the latter paper. 


  [1]: https://arxiv.org/abs/1806.01838
  [2]: https://arxiv.org/abs/2105.02859
  [3]: https://youtu.be/GFRojXdrVXI