We consider a family of states describing three-qubit systems. We derived formulas showing the relations between linear entropy and measures of coherence such as degree of coherence, first- and second-order correlation functions. We show that qubit-qubit states are strongly entangled when linear entropy reaches some range of values. For such states, we derived the conditions determining boundary values of linear entropy parametrized by measures of coherence.

Division of Physics Czȩstochowa University of Technology Ave Armii Krajowej 19 42 200 Czȩstochowa Poland

Joint Laboratory of Optics of Palacký University and Institute of Physics of CAS Faculty of Science Palacký University 17 listopadu 12 771 46 Olomouc Czech Republic

Quantum Optics and Engineering Division Institute of Physics University of Zielona Góra Prof Z Szafrana 4a 65 516 Zielona Góra Poland

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