The quantum Cramér–Rao bound is the quantum analogue of the classical Cramér–Rao bound. It bounds the achievable precision in parameter estimation with a quantum system: where is the number of independent repetitions, and is the quantum Fisher information. Here, is the state of the system and is the Hamiltonian of the system. When considering a unitary dynamics of the type where is the initial state of the system, is the parameter to be estimated based on measurements on
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