6533b851fe1ef96bd12a8fe5
RESEARCH PRODUCT
An algebraic approach to the study of multipartite entanglement
S. Di MartinoAntonino MessinaBenedetto Militellosubject
Quantum PhysicsPure mathematicsSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciBasis (linear algebra)FOS: Physical sciencesQuantum PhysicsQuantum entanglementMaximizationSquashed entanglementMultipartite entanglementSettore FIS/03 - Fisica Della MateriaAtomic and Molecular Physics and Opticsentanglement multipartite entanglementSimple (abstract algebra)Quantum mechanicsAlgebraic numberW stateQuantum Physics (quant-ph)Engineering (miscellaneous)Mathematicsdescription
A simple algebraic approach to the study of multipartite entanglement for pure states is introduced together with a class of suitable functionals able to detect entanglement. On this basis, some known results are reproduced. Indeed, by investigating the properties of the introduced functionals, it is shown that a subset of such class is strictly connected to the purity. Moreover, a direct and basic solution to the problem of the simultaneous maximization of three appropriate functionals for three-qubit states is provided, confirming that the simultaneous maximization of the entanglement for all possible bipartitions is compatible only with the structure of GHZ-states.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-04-10 | Journal of Russian Laser Research |