No-Go Theorem for Norm-Based Nonclassicality Certification with Linear Functionals

Year: 2025

Type: preprint

Abstract: Despite various approaches to encode nonclassical light, most existing formulations either suffer from limited practicality or rely on optimization procedures that are computationally demanding. Here, we develop a framework for quantifying optical nonclassicality without invoking any optimization, using generic classicalization channels, p-norms and linear functionals generated by displaced rotationally-invariant operators. However, for a subset of such measures, involving s-ordered distributions and a Gaussian classicalization channel, we analytically establish a no-go theorem demonstrating that no such universal measure can exist. We further substantiate our theoretical result through explicit examples involving both Gaussian and non-Gaussian states, followed by a generic criterion for a no-go theorem, whose the existence remains to be established.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2511.22992

Authors: Bose, Soumyakanti, Teo, Yong-Siah, Kwon, Hyukjoon, Jeong, Hyunseok

Institutions: SRM University, Sejong University, Korea Institute for Advanced Study

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: Sejong University, Seoul National University, National Research Foundation of Korea, Ministry of Science and ICT, South Korea, Institute for Information and Communications Technology Promotion

OpenAlex ID: W7108216066