Boundary Metric from Projection-Induced Finite Rank

This work investigates the notion of metric induced by finite-rank projection.Assuming a non-isometric projection with finite effective rank, the paper showsthat a unique operational boundary metric emerges as a criterion ofdistinguishability, determined by the truncated singular value decomposition.This is a preliminary, pre-review version made publicly available on Zenodo.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-12-30
DOI
https://doi.org/10.5281/zenodo.18097406
Primary Topic
Matrix Theory and Algorithms
Type
article
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article

Boundary Metric from Projection-Induced Finite Rank

Pasquale Camelia
Zenodo (CERN European Organization for Nuclear Research)
Matrix Theory and Algorithms
article

Boundary Metric from Projection-Induced Finite Rank

Pasquale Camelia
article en

Abstract

This work investigates the notion of metric induced by finite-rank projection.Assuming a non-isometric projection with finite effective rank, the paper showsthat a unique operational boundary metric emerges as a criterion ofdistinguishability, determined by the truncated singular value decomposition.This is a preliminary, pre-review version made publicly available on Zenodo.

Zenodo (CERN European Organization for Nuclear Research)
Quantum Signal (United States) (US)
Reduced inequalities
Openalex Percentile: Top 26%
Matrix Theory and Algorithms
DOIOpen Access PDFOpenAlex
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