We introduce a special class of truncated Weyl–Heisenberg algebra and discuss the corresponding Hilbertian and analytical representations. Subsequently, we study the effect of a quantum network of beam splitting on coherent states of this nonlinear class of harmonic oscillators. We particularly focus on quantum networks involving one and two beam splitters and examine the degree of bipartite as well as tripartite entanglement using the linear entropy.

arXiv:1210.7689Journal of Physics A Mathematical and TheoreticalJul 15, 20115 citations

Quantum Information Processing

Bipartite entanglement of nonlinear quantum systems in the context of the q-Heisenberg Weyl algebra

K. Berrada, M. El Baz, Hichem Eleuch, Y. Hassouni

Published Jun 3, 2011• 11 citations

Publisher

DOI: 10.1007/s11128-011-0246-x

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Bipartite States Entanglement for the

\mathcal {A}_{\kappa }

Weyl-Heisenberg Algebra and Their Geometrical Aspects

q

-deformed Weyl-Heisenberg algebra is used to define a deformed displacement operator giving rise to a naturally normalized nonlinear coherent states type. Robust maximally entangled deformed coherent states are studied and the effect of such a deformation on the amount of the entanglement is discussed. The analogy between environment decoherence and algebra deformation is made through the deformation parameter.