2014 | OriginalPaper | Buchkapitel
Extrapolated States, Void States, and a Huge Novel Class of Distillable Entangled States
verfasst von : Michel Boyer, Tal Mor
Erschienen in: Theory and Practice of Natural Computing
Verlag: Springer International Publishing
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A nice and interesting property of any pure tensor-product state is that each such state has distillable entangled states at an arbitrarily small distance
ε
in its neighbourhood. We say that such nearby states are
ε
-entangled, and we call the tensor product state in that case, a “boundary separable state”, as there is entanglement at any distance from this “boundary”. Here we find a huge class of separable states that also share that property mentioned above – they all have
ε
-entangled states at any small distance in their neighbourhood. Furthermore, the entanglement they have is proven to be distillable.