Work

Maximally entangled real states and SLOCC invariants: the 3-qutrit case

Year: 2024

Type: article

Abstract: The absolute values of polynomial SLOCC invariants (which always vanish on separable states) can be seen as entanglement measures. We study the case of real 3-qutrit systems and discover a new set of maximally entangled states (from the point of view of maximizing the hyperdeterminant). We also study the basic fundamental invariants and find real 3-qutrit states that maximize their absolute values. It is notable that the Aharonov state is a simultaneous maximizer for all three fundamental invariants. We also study the evaluation of these invariants on random real 3-qutrit systems and analyze their behavior using histograms and level-set plots. Finally, we show how to evaluate these invariants on any 3-qutrit state using basic matrix operations.

Source: Journal of Physics A Mathematical and Theoretical

DOI: 10.1088/1751-8121/ad3193

Authors: Hamza Jaffali, Frédéric Holweck, Luke Oeding

Institutions: Université Bourgogne Franche-Comté, Auburn University

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,165

Funder: Centre National de la Recherche Scientifique