Amplitude Estimation from Quantum Signal Processing

Amplitude estimation algorithms are based on Grover's algorithm: alternating reflections about the input state and desired outcome. But what if we given ability to perform arbitrary rotations, instead of just reflections? In this situation, find that quantum signal processing lets us estimate amplitude in a more flexible way. We leverage technique give improved simplified for many tasks: non-destructive without any assumptions amplitude, develop an algorithm with performance practice, present new method unbiased estimation, finally simpler trading circuit depth repetitions short circuits.