Journal
PHYSICAL REVIEW A
Volume 85, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.85.032102
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Funding
- NSFC [10934010, 60978019]
- NKBRSFC [2009CB930701, 2010CB922904, 2011CB921502, 2012CB821300]
- NSFC-RGC [11061160490, 1386-N-HKU748/10]
- CNSF [10975181, 11175247]
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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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