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arXiv · 1410.0951

Local tests of global entanglement and a counterexample to the generalized area law

Dorit Aharonov·Aram W. Harrow·Zeph Landau·Daniel Nagaj·Mario Szegedy·Umesh Vazirani
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Abstract

We introduce a technique for applying quantum expanders in a distributed fashion, and use it to solve two basic questions: testing whether a bipartite quantum state shared by two parties is the maximally entangled state and disproving a generalized area law. In the process these two questions which appear completely unrelated turn out to be two sides of the same coin. Strikingly in both cases a constant amount of resources are used to verify a global property.

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Dorit Aharonov, Aram W. Harrow, Zeph Landau, Daniel Nagaj, Mario Szegedy, Umesh Vazirani. 2014-10-03. Local tests of global entanglement and a counterexample to the generalized area law. https://doi.org/10.1109/focs.2014.34

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