Necessary conditions for classifying $$\mathbf {m}$$-separability of multipartite entanglements
Copyright policy )Necessary conditions for classifying $$\mathbf {m}$$-separability of multipartite entanglements
We study the norms of the Bloch vectors for arbitrary $n$-partite quantum states. A tight upper bound of the norms is derived for $n$-partite systems with different individual dimensions. These upper bounds are used to deal with the separability problems. Necessary conditions are presented for $\mathbf m$-separable states in $n$-partite quantum systems. Based on the upper bounds, classification of multipartite entanglement is illustrated with detailed examples.
14 pages
- Renmin University of China China (People's Republic of)
- Max Planck Institute for Mathematics in the Sciences Germany
- Hunan University of Arts and Science China (People's Republic of)
- Max Planck Society Germany
- South China University of Technology China (People's Republic of)
norm, upper bounds, Quantum Physics, separability, Quantum coherence, entanglement, quantum correlations, FOS: Physical sciences, Bloch vectors, Quantum Physics (quant-ph)
norm, upper bounds, Quantum Physics, separability, Quantum coherence, entanglement, quantum correlations, FOS: Physical sciences, Bloch vectors, Quantum Physics (quant-ph)
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