Entanglement distillation from Greenberger-Horne-Zeilinger shares

Matthias Christandl; P\'eter Vrana

Entanglement distillation from Greenberger-Horne-Zeilinger shares

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arxiv 1603.03964 v2 pith:CROPGIOE submitted 2016-03-12 quant-ph cs.CCmath-phmath.MP

Entanglement distillation from Greenberger-Horne-Zeilinger shares

P\'eter Vrana , Matthias Christandl This is my paper

classification quant-ph cs.CCmath-phmath.MP

keywords asymptoticgreenberger-horne-zeilingerresultsharedstatesallowedarbitrarybest

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We study the problem of converting a product of Greenberger-Horne-Zeilinger (GHZ) states shared by subsets of several parties in an arbitrary way into GHZ states shared by every party. Our result is that if SLOCC transformations are allowed, then the best asymptotic rate is the minimum of bipartite log-ranks of the initial state. This generalizes a result by Strassen on the asymptotic subrank of the matrix multiplication tensor.

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