Abstract
Recently, Girolami and Adesso (Phys Rev A 83: 052108, 2011) have demonstrated that the calculation of quantum discord for two-qubit case can be viewed as to solve a pair of transcendental equation. In the present work, we introduce the generalized Choi–Jamiolkowski isomorphism and apply it as a convenient tool for constructing transcendental equations. For the general two-qubit case, we show that the transcendental equations always have a finite set of universal solutions; this result can be viewed as a generalization of the one obtained by Ali et al. (Phys Rev A 81: 042105, 2010). For a subclass of $$X$$ state, we find the analytical solutions by solving the transcendental equations.
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