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research article

Test for a large amount of entanglement, using few measurements

Chao, Rui
•
Reichardt, Ben W.
•
Sutherland, Chris
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September 3, 2018
Quantum

Bell-inequality violations establish that two systems share some quantum entanglement. We give a simple test to certify that two systems share an asymptotically large amount of entanglement, n EPR states. The test is efficient: unlike earlier tests that play many games, in sequence or in parallel, our test requires only one or two CHSH games. One system is directed to play a CHSH game on a random specified qubit i, and the other is told to play games on qubits {i, j}, without knowing which index is i. The test is robust: a success probability within d of optimal guarantees distance O(n5/2 vd) from n EPR states. However, the test does not tolerate constant d; it breaks down for d = ?(1 /vn). We give an adversarial strategy that succeeds within d of the optimum probability using only Õ(d-2) EPR states.

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10.22331_q-2018-09-03-92.pdf

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Main Document

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Submitted version (Preprint)

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openaccess

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CC BY

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743.78 KB

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