Necessary and sufficient conditions for local creation of quantum correlation

Details Necessary and sufficient conditions for local creation of quantum correlation Necessary and sufficient conditions for local creation of quantum correlation

2011-12-14

arxiv.org/abs/1112.3141v2

Phys. Rev. A 85, 032102 (2012)

Physics

Quantum Physics

Theorem 2 has been modified

Scientific paper

10.1103/PhysRevA.85.032102

Quantum correlation can be created by a local operation from some initially classical states. We prove that the necessary and sufficient condition for a local trace-preserving channel to create quantum correlation is that it is not a commutativity-preserving channel. This condition is valid for arbitrary finite dimension systems. We also derive the explicit form of commutativity-preserving channels. For a qubit, a commutativity-preserving channel is either a completely decohering channel or a mixing channel. For a three-dimensional system (qutrit), a commutativity-preserving channel is either a completely decohering channel or an isotropic channel.

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