Vanishing quantum discord is necessary and sufficient for completely positive maps

  • Shabani A
  • Lidar D
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We identify the class of initial system-bath states for which quantum dynamics is equivalent to a completely positive map between the initial and final system states. This is the class of separable states with vanishing quantum discord. We obtain this result by first introducing a class of states we call "special linear", which are of full measure in the set of mixed bipartite states, and for which quantum dynamics is always a Hermitian map.

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  • a. Shabani

  • D. a Lidar

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