Spontaneous emission and quantum discord: comparison of Hilbert-Schmidt and trace distance discord

Abstract

Hilbert - Schmidt and trace norm geometric quantum discord are compared with regard to their behavior during local time evolution. We consider the system of independent two - level atoms with time evolution given by the dissipative process of spontaneous emission. It is explicitly shown that the Hilbert - Schmidt norm discord has nonphysical properties with respect to such local evolution and cannot serve as a reasonable measure of quantum correlations and the better choice is to use trace norm discord as such a measure.

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Cited by in corpus (6)

• Quantum discord and its allies: a review
• Qutrit geometric discord
• Two-qubit trace-norm geometric discord: the complete solution
• Problem of quantifying quantum correlations with non-commutative discord
• Non-commutative measure of quantum correlations under local operations
• Non-commutativity measure of quantum discord