Entanglement equivalence of N-qubit symmetric states

Journal Article · Sat May 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.052315· OSTI ID:21408791

Mathonet, P ^[1]; Krins, S; Bastin, T ^[2]; Godefroid, M ^[3]; Lamata, L ^[4]; Solano, E ^[5]

---

1. Departement de Mathematique, Universite de Liege, BE-4000 Liege (Belgium)
2. Institut de Physique Nucleaire, Atomique et de Spectroscopie, Universite de Liege, BE-4000 Liege (Belgium)
3. Chimie quantique et Photophysique, CP160/09, Universite Libre de Bruxelles, BE-1050 Bruxelles (Belgium)
4. Max-Planck-Institut fuer Quantenoptik, Hans-Kopfermann-Strasse 1, DE-85748 Garching (Germany)
5. Departamento de Quimica Fisica, Universidad del Pais Vasco - Euskal Herriko Unibertsitatea, Apdo. 644, ES-48080 Bilbao (Spain)

We study the interconversion of multipartite symmetric N-qubit states under stochastic local operations and classical communication (SLOCC). We demonstrate that if two symmetric states can be connected with a nonsymmetric invertible local operation (ILO), then they belong necessarily to the separable, W, or Greenberger-Horne-Zeilinger (GHZ) entanglement class, establishing a practical method of discriminating subsets of entanglement classes. Furthermore, we prove that there always exists a symmetric ILO connecting any pair of symmetric N-qubit states equivalent under SLOCC, simplifying the requirements for experimental implementations of local interconversion of those states.

• OSTI ID: 21408791
• Journal Information: Physical Review. A, Vol. 81, Issue 5; Other Information: DOI: 10.1103/PhysRevA.81.052315; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COMMUNICATIONS
QUANTUM ENTANGLEMENT
QUBITS
STOCHASTIC PROCESSES
SYMMETRY
INFORMATION
QUANTUM INFORMATION