One of the classical results concerning quantum channels is the characterization of entanglementbreakingchannels [M. Horodecki et al., Rev. Math. Phys 15, 629 (2003)]. We address the questionwhether there exists a similar characterization on the level of quantum correlations which may gobeyond entanglement. The answer is fully affirmative in the case of breaking quantum correlationsdown to the, so called, QC (Quantum-Classical) type, while it is no longer true in the CC (Classical-Classical) case. The corresponding channels turn out to be measurement maps. Our study alsoreveals an unexpected link between quantum state and local correlation broadcasting and finiteMarkov chains. We present a possibility of broadcasting via non von Neumann measurements,which relies on the Perron-Frobenius Theorem. Surprisingly, this is not the typical generalizedC-NOT gate scenario, appearing naturally in this context.
Authors
Additional information
- Category
- Publikacja w czasopiśmie
- Type
- artykuł w czasopiśmie wyróżnionym w JCR
- Language
- angielski
- Publication year
- 2012
