Work

On two maximally entangled couples

Year: 2025

Type: article

Abstract: In a seminal article, Higuchi and Sudbery showed that a pure four-qubit state cannot be maximally entangled across every bipartition. Such states are now known as absolutely maximally entangled (AME) states. Here we give a series of old and new proofs of the fact that no four-qubit AME state exists. These are based on invariant theory, methods from coding theory, and basic properties from linear algebra such as the Pauli commutation relations.

Source: Quantum Science and Technology

DOI: 10.1088/2058-9565/ae23f4

Authors: Felix Huber, Jens Siewert

Institutions: University of Gdańsk, Ikerbasque, University of the Basque Country

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,895

Funders: Eusko Jaurlaritza, Narodowe Centrum Nauki, Narodowa Agencja Wymiany Akademickiej, European Regional Development Fund