Projective measurement is a type of quantum measurement that is associated with a specific observable, where the measurement outcome corresponds to one of the eigenvalues of the observable's operator. This process collapses the quantum state into an eigenstate associated with the measured eigenvalue, providing definitive information about the system while fundamentally altering its state. The concept is crucial for understanding how measurements affect quantum systems and how they relate to observables, quantum transformations, and high-dimensional quantum states.
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