Entangled states close to the maximally mixed state

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Entangled states close to the maximally mixed state

We give improved upper bounds on the radius of the largest ball of separable states of an m-qubit system around the maximally mixed state. The ratio between the upper bound and the best known lower bound (Hildebrand, quant.ph/0601201) thus shrinks to a constant c = p 34/27 ≈ 1.122, as opposed to a term of order √ m logm for the best upper bound known previously (Aubrun and Szarek, quant.ph/0503...

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ژورنال

عنوان ژورنال: Physical Review A

سال: 2007

ISSN: 1050-2947,1094-1622

DOI: 10.1103/physreva.75.062330