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Bibliographic Details
Main Authors: Li, Shiyu, Guo, Cheng
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2601.10665
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author Li, Shiyu
Guo, Cheng
author_facet Li, Shiyu
Guo, Cheng
contents We establish a majorization-based theory for bounding observables of waves with varied coherence. For any measurement, exact bounds are attained by the maximal and minimal elements in the set of input coherence spectra. The set's supremum and infimum, which may lie outside the set, provide optimal universal bounds: any alternative spectrum yielding universal bounds produces weaker constraints. We present an algorithm to compute the supremum and infimum, and prove that they lie either at singular boundary points or strictly outside the set of coherence spectra.
format Preprint
id arxiv_https___arxiv_org_abs_2601_10665
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Optimal universal bounds for waves with varied coherence based on supremum and infimum coherence spectra
Li, Shiyu
Guo, Cheng
Optics
Mesoscale and Nanoscale Physics
We establish a majorization-based theory for bounding observables of waves with varied coherence. For any measurement, exact bounds are attained by the maximal and minimal elements in the set of input coherence spectra. The set's supremum and infimum, which may lie outside the set, provide optimal universal bounds: any alternative spectrum yielding universal bounds produces weaker constraints. We present an algorithm to compute the supremum and infimum, and prove that they lie either at singular boundary points or strictly outside the set of coherence spectra.
title Optimal universal bounds for waves with varied coherence based on supremum and infimum coherence spectra
topic Optics
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2601.10665