Maximally multipartite entangled states

By P. Facchi, G. Florio, Giorgio Parisi, S. Pascazio. 2007

150 citations recorded by the source corpus.

We introduce the notion of maximally multipartite entangled states of $n$ qubits as a generalization of the bipartite case. These pure states have a bipartite entanglement that does not depend on the bipartition and is maximal for all possible bipartitions. They are solutions of a minimization problem. Examples for small $n$ are investigated, both analytically and numerically.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/ee1e4717c41f36ddfba9e87a91e582867d0056ce

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Ingemar Bengtsson
2. Karol Zyczkowski
3. Dardo Goyeneche

In Atomic and Molecular Physics, and Optics

1. Ingemar Bengtsson
2. Karol Zyczkowski
3. Dardo Goyeneche

Citations in the corpus

• Genuinely multipartite entangled states and orthogonal arrays (2014, background): “It is worth to emphasize that there exist no 2–uniform states of four qubits [8, 12, 13, 18, 25].”
• Geometry of Quantum States: Index (2007, methodology): “Maximizing Qk over the set of all states is a difficult optimisation problem, becoming computationally more expensive if we use the von Neumann entropy [148, 306].”