Separable balls around the maximally mixed state for a 3-qubit system

Details Separable balls around the maximally mixed state for a 3-qubit system Separable balls around the maximally mixed state for a 3-qubit system

2006-01-30

arxiv.org/abs/quant-ph/0601201v1

Physics

Quantum Physics

9 pages, no figures; based on quant-ph/0503194

Scientific paper

We obtain a new lower bound on the radius of the largest ball of separable unnormalized states around the identity matrix for a 3-qubit system. This also enables us to improve the corresponding lower bounds for multi-qubit systems. These bounds are approximately 5% better than the previously known ones. As a by-product, we compute the radius of the largest ball that fits into the triple projective tensor product of the unit ball in R^3.

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