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2011

Highly Entangled States With Almost No Secrecy

Christandl, Matthias, Schuch, Norbert, Winter, Andreas

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In this paper we illuminate the relation between entanglement and secrecy by providing the first example of a quantum state that is highly entangled, but from which, nevertheless, almost no secrecy can be extracted.

More precisely, we provide two bounds on the bipartite entanglement of the totally antisymmetric state in dimension d x d.
First, we show that the amount of secrecy that can be extracted from the state is low, to be precise it is bounded by O(1/d).
Second, we show that the state is highly entangled in the sense that we need a large amount of singlets to create the state: entanglement cost is larger than a constant, independent of d.

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Then

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M. Christandl, N. Schuch, and A. Winter (2009), arxiv:0910.4151
Original
2009
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