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Mixedness, Coherence and Entanglement in a Family of Three-Qubit States

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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… Click to show full abstract

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.

Keywords: linear entropy; family; qubit states; coherence; three qubit

Journal Title: Entropy
Year Published: 2022

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