Volume 108, Number 1, October 2014
|Number of page(s)||5|
|Published online||24 September 2014|
Multipartite d-level GHZ bases associated with generalized braid matrices
1 School of Physics, Northeast Normal University - Changchun 130024, PRC
2 Centre for Quantum Technologies, National University of Singapore - 3 Science Drive 2, 117543 Singapore
3 Pillar of Engineering Product Development, Singapore University of Technology and Design 20 Dover Drive, 138682 Singapore
Received: 3 July 2014
Accepted: 8 September 2014
We investigate the generalized braid relation for an arbitrary multipartite d-level system and its application to quantum entanglement. By means of finite-dimensional representations of quantum plane algebra, a set of unitary matrix representations satisfying the generalized braid relation can be constructed. Such generalized braid matrices can entangle N-partite d-level 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 N-partite d-level Greenberger-Horne-Zeilinger (GHZ) states.
PACS: 03.65.Ud – Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.) / 03.65.Fd – Algebraic methods / 02.10.Kn – Knot theory
© EPLA, 2014
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