Localization of quantum states within subspaces

Published 14 Jan 2026 in quant-ph and math-ph | (2601.09817v1)

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.

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L. L. Salcedo

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