Comparison of qubit and qutrit like entangled squeezed and coherent states of light

•In this paper we investigate entanglement properties of two-mode entangled squeezed state (ESS) generated viabeam splitter, phase shifter and cross Kerr nonlinearity.•It is shown that Wigner function can be a witness for entanglement of ESS.•The monogamy inequality is discussed for multi qutrit like ESS.•We compare all results with entangled coherent states of light.

Squeezed state of light is one of the important subjects in quantum optics which is generated by optical nonlinear interactions. In this paper, we especially focus on qubit like entangled squeezed states (ESS's) generated by beam splitters, phase-shifter and cross Kerr nonlinearity. Moreover the Wigner function of two-mode qubit and qutrit like ESS are investigated. We will show that the distances of peaks of Wigner functions for two-mode ESS are entanglement sensitive and can be a witness for entanglement. Like the qubit cases, monogamy inequality is fulfilled for qutrit like ESS. These trends are compared with those obtained for qubit and qutrit like entangled coherent states (ECS).