Work

Bounding the entanglement of a state from its spectrum

Year: 2026

Type: preprint

Abstract: We introduce a framework to upper bound the entanglement content of a bipartite quantum state from its spectrum alone. Using linear maps and their inverses, we derive rigorous constraints on the maximal entanglement that can be activated under global unitary transformations. We use as entanglement quantifiers the negativity and the Schmidt number; however, our framework is general and applies to any other entanglement measure. Our approach yields compact analytical sufficient criteria for bounding the entanglement of full-rank states in arbitrary dimensions and reveals new spectral constraints on Schmidt number witnesses.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2604.02420

Authors: Abellanet-Vidal, Jofre, Müller-Rigat, Guillem, Rico, Albert, Sanpera, Anna

Institutions: Universitat Autònoma de Barcelona, Jagiellonian University, Institució Catalana de Recerca i Estudis Avançats

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: European Commission, Generalitat de Catalunya, Ministerio de Ciencia e Innovación

Awards: G120905174, G2988934680, G357246561, G363809202, G531036588, G6973187070, G8546142835, G8920660035

OpenAlex ID: W7150752760

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