State preparation based on quantum phase estimation

Understand

State preparation is a process encoding the classical data into the quantum systems.

• Based on quantum phase estimation, we propose the specific quantum circuits for a deterministic state preparation algorithm and a probabilistic state preparation algorithm.
• To discuss the gate complexity in these algorithms, we decompose the diagonal unitary operators included in the phase estimation algorithms into the basic gates.
• Thus, we associate the state preparation problem with the decomposition problem of the diagonal unitary operators.