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Abstract
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Nonlinear coherent states or f -coherent states are one of the important class of quantum
states of light attached to the f -deformed oscillators. They have been introduced in a pioneering
work by Manko et al. and have been realized physically as the stationary states of the centre of
mass motion of a trapped ion by de Matos Filho et al. To gain insight into the effectiveness of
these states in quantum information theory, we introduce qutrit-like states as a result of two-mode
superposition coherent states based on two f -coherent states |α, f i with a specific selection of the
nonlinearity function f (n). The control role of the involved parameters, especially the nonlinearity
function on the entanglement and statistical properties of the system state is investigated. The
generalized I -concurrence measure has been applied to quantify the entanglement of these
states and the condition in which quantum entanglement can be enhanced and maximized has
been identified. We show that depending on the chosen nonlinearity function, one can observe
different nonclassical effects. These trends are also compared with those obtained for the qubitlike
superposition of f -coherent states.
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