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Entanglement Theory Quantum Correlations
Quantum Foundations
Multipartite positive-partial-transpose inequalities exponentially stronger than local reality inequalities
arXiv
Authors: Koji Nagata
Year
2007
Paper ID
49634
Status
Preprint
Abstract Read
~2 min
Abstract Words
73
Citations
N/A
Abstract
We show that positivity of {\it every} partial transpose of N-partite quantum states implies new inequalities on Bell correlations which are stronger than standard Bell inequalities by a factor of 2(N-1)/2. A violation of the inequality implies the system is in a bipartite distillable entangled state. It turns out that a family of N-qubit bound entangled states proposed by Dür {\[Phys. Rev. Lett. {\bf 87}, 230402 (2001)\]} violates the inequality for Ngeq 4.
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- We show that positivity of it every partial transpose of N-partite quantum states implies new inequalities on Bell correlations which are stronger than standard Bell...
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