One hypothesis around the 20 amino acids relates to optimization of a quantum search algorithm [0]. Some recent work has added support to this idea [1].
That does not seem a good paper. The only references on biology are quite generic books. Also the stated hypotheses are quite unfounded. As far as I know, there is barely any evidence of biology using quantum phenomena directly, except perhaps regarding photosynthesis and enzymatic activity:
[0] https://arxiv.org/abs/quant-ph/0002037 [1] https://www.technologyreview.com/2019/09/12/133081/an-import...