Source and accessible entanglement of few-body systems

David Sauerwein, Katharina Schwaiger, Martí Cuquet, Julio I. de Vicente, Barbara Kraus.
Physical Review A 92, 062340 (2015).
[ arXiv:1508.02524 | PDF | Bibtex ]

Entanglement is the resource to overcome the natural limitations of spatially separated parties restricted to local operations assisted by classical communication (LOCC). Recently, two new classes of operational entanglement measures, the source and the accessible entanglement, for arbitrary multipartite states have been introduced. Whereas the source entanglement measures from how many states the state of interest can be obtained via LOCC, the accessible entanglement measures how many states can be reached via LOCC from the state at hand. We consider here pure bipartite as well as multipartite states and derive explicit formulas for the source entanglement. Moreover, we obtain explicit formulas for a whole class of source entanglement measures that characterize the simplicity of generating a given bipartite pure state via LOCC. Furthermore, we show how the accessible entanglement can be computed numerically. For generic four-qubit states we first derive the necessary and sufficient conditions for the existence of LOCC transformations among these states and then derive explicit formulas for their accessible and source entanglement.

@article{Sauerwein2015_source,
  title = {Source and accessible entanglement of few-body systems},
  author = {Sauerwein, D. and Schwaiger, K. and Cuquet, M. and de Vicente, J.  I. and Kraus, B.},
  journal = {Physical Review A},
  volume = {92},
  number = {6},
  pages = {062340},
  numpages = {19},
  year = {2015},
  month = {des},
  publisher = {American Physical Society},
  doi = {http://dx.doi.org/10.1103/PhysRevA.92.062340},
  url = {http://journals.aps.org/pra/abstract/10.1103/PhysRevA.92.062340},
  arxivId = {1508.02524},
}