Abstract
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.
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Boyer, M., Mor, T. (2014). Extrapolated States, Void States, and a Huge Novel Class of Distillable Entangled States. In: Dediu, AH., Lozano, M., Martín-Vide, C. (eds) Theory and Practice of Natural Computing. TPNC 2014. Lecture Notes in Computer Science, vol 8890. Springer, Cham. https://doi.org/10.1007/978-3-319-13749-0_10
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DOI: https://doi.org/10.1007/978-3-319-13749-0_10
Publisher Name: Springer, Cham
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