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Abstract
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In this paper, we investigate the fundamental limitations arising from initial temperature
of two initially uncorrelated thermal quantum systems for creating quantum correlations.
In order to establish the quantum correlations between the systems, we allow ourselves to
perform a global unitary operation which maximizes entanglement between them as given
in Verstraete et al. (Phys. Rev. A 64, 012316 2001). We demonstrate the energy cost of
the created correlations between the uncorrelated thermal quantum systems via performing
such a global unitary operation. Also, we derive an analytical expression for global quantum
discord (GQD) and local quantum uncertainty (LQU) as measures of quantum correlations
and by comparing them with the existing optimal entanglement, we observe that the GQD
and the LQU only decay asymptotically in contrast to the entanglement which is vanishes
completely at a finite critical temperature.
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