Reference : Genuinely entangled symmetric states with no N-partite correlations
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
http://hdl.handle.net/2268/214224
Genuinely entangled symmetric states with no N-partite correlations
English
Designolle [École polytechnique, 91128 Palaiseau Cedex, France > > > >]
Giraud, Olivier [LPTMS, CNRS, Univ. Paris-Sud, Université Paris-Saclay, 91405 Orsay, France > > > >]
Martin, John mailto [Université de Liège > Département de physique > Optique quantique >]
Sep-2017
Physical Review A
American Physical Society
96
032322
Yes (verified by ORBi)
International
1050-2947
1094-1622
[en] We investigate genuinely entangled N-qubit states with no N-partite correlations in the case of symmetric states. Using a tensor representation for mixed symmetric states, we obtain a simple characterization of the absence of N-partite correlations. We show that symmetric states with no N-partite correlations cannot exist for an even number of qubits. We fully identify the set of genuinely entangled symmetric states with no N-partite correlations in the case of three qubits, and in the case of rank-2 states. We present a general procedure to construct families for an arbitrary odd number of qubits.
http://hdl.handle.net/2268/214224
10.1103/PhysRevA.96.032322

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