The No Cloning Theorem is a fundamental principle in quantum mechanics stating that it is impossible to create an identical copy of an arbitrary unknown quantum state via any physical transformation or interaction with matter. This prohibition arises strictly from the linearity and unitary evolution required by the formalisms of superposition, composite systems, and linear operators acting on Hilbert space. Consequently, while approximate cloning or cloning of known states is permissible under specific constraints, exact replication that preserves the original state's integrity contradicts the mathematical structure governing quantum dynamics.
The No Cloning Theorem is a fundamental principle in quantum mechanics stating that it is impossible to create an identical copy of an arbitrary unknown quantum state via any physical transformation …