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Reports on Mathematical Physics

Entanglement of Photon-Added Nonlinear Coherent States Via a Beam Splitter

Gholamreza Honarasa, Alireza Bagheri, Abdolrasoul Gharaati

Published Oct 1, 2016• 2 citations
Publisher
DOI
10.1016/s0034-4877(16)30065-9

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Comment on 'Entanglement of photon-added nonlinear coherent states via beam splitter'

Hadiah Bint Monir, Shahid Iqbal

Beam splitter mediated entanglement of nonlinear photon-added coherent states was studied by Honarasa, Bagheri and Gharaati [1]. We believe that this work contains errors in numerical computations of linear entropy and Mandel parameter which lead to wrong conclusions. We point out the possible errors and describe the necessary corrections. The conclusions based on our arguments are in complete agreement with previously published literature.

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In this paper, we construct photon-added f -deformed coherent states (PA f -DCSs) for nonlinear bosonic fields by discussing Klauder's minimal set of conditions required to obtain coherent states. Using this set of nonlinear states, we propose a very useful scheme for generating the maximal amount of entanglement via unitary beam splitters for different strength regimes of the input field α, deformation q and excitation number m . Therefore, the possibility to create highly entangled states and to control the entanglement is proposed. Moreover, the condition for a maximal and separable output beam state is obtained. Finally, we examine the statistical properties of the PA f -DCSs through the Mandel parameter and exploit a connection between this quantity and the behavior variation of the output state entanglement. Our result may open new perspectives in different tasks of quantum information processing.