Pure states are the most fundamental representation of quantum systems, characterized by a definite state that can be described by a single wave function. These states represent maximal knowledge about the system, meaning there is no uncertainty in the system's properties, and they are often denoted in Dirac notation as |ψ⟩. Pure states play a crucial role in quantum algorithm simulation, as they provide a clear framework for understanding quantum behavior and enable the exploration of quantum algorithms' efficiency and functionality.
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