Multipartite dlevel GHZ bases associated with generalized braid matrices
Abstract
We investigate the generalized braid relation for an arbitrary multipartite dlevel system and its application to quantum entanglement. By means of finitedimensional representations of quantum plane algebra, a set of d^{N}× d^{N} unitary matrix representations satisfying the generalized braid relation can be constructed. Such generalized braid matrices can entangle Npartite dlevel quantum states. Applying the generalized braid matrices on the standard basis of product states, one can obtain a set of maximally entangled bases. Further study shows that such entangled states can be viewed as the Npartite dlevel GreenbergerHorneZeilinger (GHZ) states.
 Publication:

EPL (Europhysics Letters)
 Pub Date:
 October 2014
 DOI:
 10.1209/02955075/108/10001
 arXiv:
 arXiv:1404.4897
 Bibcode:
 2014EL....10810001W
 Keywords:

 Quantum Physics
 EPrint:
 5 pages