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〉 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 qubit-like superposition of f -coherent states.

非线性相干态或f-相干态是附着在f-形变振荡器上的光的量子态的重要类别之一。Manko等人在开拓性工作中引入了它们。并已由de Matos Filho等人在物理上实现为被捕获离子质心运动的稳态。为了深入了解这些状态在量子信息论中的有效性，我们引入了类似于qutrit的状态，这是基于两个f相干态∣α ，f〉的二模叠加相干态的结果，并选择了非线性函数˚F（ñ）。研究了所涉及参数的控制作用，尤其是非线性函数对系统状态的纠缠和统计性质的控制作用。广义I-并发度量已用于量化这些状态的纠缠，并且已经确定了可以增强和最大化量子纠缠的条件。我们表明，根据所选择的非线性函数，可以观察到不同的非经典效应。还将这些趋势与从f相干态的类似qubit叠加获得的趋势进行了比较。