Bipartite Entanglement of Deformed Coherent States

Abstract

A q-deformed Weyl-Heisenberg algebra is used to define a deformed displacement operator giving rise to a naturally normalized nonlinear coherent states type as non-classical non-Gaussian quantum states playing a significant role in the entanglement distillation, quantum computation with cluster states and quantum error correction. 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.