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Abstract
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.
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- Accepted or Published Version
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- Copyright (2012 American Physical Society)
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
PHYSICAL REVIEW A
no. 86,
pages 42319 - 42327,
ISSN: 2469-9926 - Language:
- English
- Publication year:
- 2012
- Bibliographic description:
- Horodecki P., Korbicz J., Horodecki R.: Quantum-correlation breaking channels, broadcasting scenarios, and finite Markov chains// PHYSICAL REVIEW A. -Vol. 86, nr. iss.4 (2012), s.42319-42327
- Verified by:
- Gdańsk University of Technology
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