Maximally multipartite entangled states

2007/10/31 by Paolo Facchi, Giuseppe Florio, Giorgio Parisi +1 · 2 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #cond-mat.stat-mech #quant-ph

paper · pdf · doi:10.1103/physreva.77.060304

published as Phys. Rev. A 77, 060304 (2008) · 5 pages, 1 figure, final verson

openalex publication_date 2008/06/11 · arxiv created 2008/06/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?
• Global entanglement in multiparticle systems
• Entanglement in many-body systems
• Distributed Entanglement

Cited by

• XYmodel on the circle: Diagonalization, spectrum, and forerunners of the quantum phase transition
• Entanglement and quantum combinatorial designs
• Mixtures of maximally entangled pure states

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• Absolutely Maximally Entangled States: Existence and Applications