I wouldn't worry too much about finding new algorithms. The sheer power of QC parallelism will attract enough talent to convert any useful classical algorithm to QC.
It's a bit similar to the invention of fast Fourier transform (was reinvented several times...), O(n log n) is so much better than O(n*2) that many problems in science and technology use FFT somewhere in their pipeline, just because it's so powerful, even if unrelated to signal processing. For example, multiplication of very large numbers use FFT (?!).
It's a bit similar to the invention of fast Fourier transform (was reinvented several times...), O(n log n) is so much better than O(n*2) that many problems in science and technology use FFT somewhere in their pipeline, just because it's so powerful, even if unrelated to signal processing. For example, multiplication of very large numbers use FFT (?!).