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Entanglement Theory Quantum Correlations
Witnessing quantum discord in 2 x N systems
arXiv
Authors: Bogna Bylicka, Dariusz Chruscinski
Year
2010
Paper ID
9070
Status
Preprint
Abstract Read
~2 min
Abstract Words
97
Citations
N/A
Abstract
Bipartite states with vanishing quantum discord are necessarily separable and hence positive partial transpose (PPT). We show that 2 x N states satisfy additional property: the positivity of their partial transposition is recognized with respect to the canonical factorization of the original density operator. We call such states SPPT (for strong PPT). Therefore, we provide a natural witness for a quantum discord: if a 2 x N state is not SPPT it must contain nonclassical correlations measured by quantum discord. It is an analog of the celebrated Peres-Horodecki criterion: if a state is not PPT it must be entangled.
Why This Paper Matters
- This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
- It adds a 2010 reference point for readers tracking recent quantum research.
- Bipartite states with vanishing quantum discord are necessarily separable and hence positive partial transpose (PPT).
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