Multipartite entanglement measures for all discrete systems

Author(s)
Beatrix Hiesmayr, Marcus Huber
Abstract

Via a multidimensional complementarity relation we derive an operational entanglement measure for any discrete quantum system, i.e., for any multidimensional and multipartite system. This measure admits a separation into different classes of entanglement obtained by using a flip operator 2,3,...,n times, defining a m-flip concurrence. This operator sum has the practical feature to allow one to calculate for mixed states bounds on this m-flip concurrence. Moreover, the information content of an n-partite multidimensional system admits a simple and intuitive interpretation in terms of single particle obtainable information, entanglement, and information due to lack of classical knowledge of the quantum state under investigation. Explicitly, the three qubit system is analyzed and, e.g., the physical difference in entanglement of the W state, the Greenberger-Horne-Zeilinger (GHZ) state, or a biseparable state is revealed.

Organisation(s)
Particle Physics
Journal
Physical Review A
Volume
78
No. of pages
7
ISSN
1050-2947
DOI
https://doi.org/10.1103/PhysRevA.78.012342
Publication date
2008
Peer reviewed
Yes
Austrian Fields of Science 2012
103036 Theoretical physics
Portal url
https://ucrisportal.univie.ac.at/en/publications/multipartite-entanglement-measures-for-all-discrete-systems(e181d04f-052c-42e8-8474-3b2a461d7989).html