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Localization of quantum states within subspaces
L. L. Salcedo·January 14, 2026
Quantum PhysicsMathematical Physics
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Abstract
A precise definition is proposed for the localization probability of a quantum state within a given subspace of the full Hilbert space of a quantum system. The corresponding localized component of the state is explicitly identified, and several mathematical properties are established. Applications and interpretations in the context of quantum information are also discussed.