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Quantum Foundations

Localization of quantum states within subspaces

arXiv

Authors: L. L. Salcedo

Year

2026

Paper ID

3815

Status

Preprint

Abstract Read

~2 min

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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.

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This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
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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.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2601.09817 [2] arXiv https://arxiv.org/abs/2601.09817 [3] Publisher https://arxiv.org/abs/2601.09817

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