With carefully chosen multi-phase oracles, a two-solution Grover search maintains high success probability over a wider range of iteration counts than the standard deterministic algorithm, according to simulations up to register size 775.
Each of the three algorithms mentioned is quadratically faster than the classical search algorithms and has applications for which it is more suitable than the other two
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Grover's search with an oracle distinguishing between solutions
With carefully chosen multi-phase oracles, a two-solution Grover search maintains high success probability over a wider range of iteration counts than the standard deterministic algorithm, according to simulations up to register size 775.