Classification of multipartite entanglement of all finite dimensionality.

@article{Gour2013ClassificationOM,
  title={Classification of multipartite entanglement of all finite dimensionality.},
  author={G. Gour and N. Wallach},
  journal={Physical review letters},
  year={2013},
  volume={111 6},
  pages={
          060502
        }
}
  • G. Gour, N. Wallach
  • Published 2013
  • Mathematics, Physics, Medicine
  • Physical review letters
We provide a systematic classification of multiparticle entanglement in terms of equivalence classes of states under stochastic local operations and classical communication (SLOCC). We show that such a SLOCC equivalency class of states is characterized by ratios of homogenous polynomials that are invariant under local action of the special linear group. We then construct the complete set of all such SL-invariant polynomials (SLIPs). Our construction is based on Schur-Weyl duality and applies to… Expand
49 Citations

Figures and Topics from this paper

Entanglement classification via integer partitions
  • D. Li
  • Mathematics, Physics
  • Quantum Inf. Process.
  • 2020
  • PDF
Quantum State Concentration and Classification of Multipartite Entanglement
  • 2
  • PDF
A Complete Set of Invariants for LU-Equivalence of Density Operators
  • 5
  • PDF
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 20 REFERENCES
I
  • 72,105
  • Highly Influential
  • PDF
Phys
  • Rev. Lett. 86, 910 (2001); R. Raussendorf and H. J. Briegel, ibid. 86, 5188
  • 2001
Phys
  • Rev. A 86, 050302 (R)
  • 2012
New J
  • Phys. 13 073013
  • 2011
Phys
  • Rev. A 83, 052330
  • 2011
JMP 51
  • 112201
  • 2010
Phys
  • Rev. Lett. 105, 190504
  • 2010
Rev
  • Mod. Phys. 81, 865
  • 2009
Quant
  • Inf. Comp. 7, 1
  • 2007
New J
  • Phys. 7, 229
  • 2005
...
1
2
...