What is the quantum phase estimation algorithm?

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What is the quantum phase estimation algorithm?

The quantum phase estimation algorithm is a quantum algorithm used to estimate the phase of an eigenstate of a unitary operator. It is a key component in many quantum algorithms, such as Shor's algorithm for factoring large numbers and the quantum simulation of physical systems. The algorithm utilizes a set of controlled operations and quantum Fourier transforms to extract the phase information from the input state. By iteratively applying the algorithm, higher precision estimates of the phase can be obtained.