Constructing multipartite Bell inequalities from stabilizers

MATHEMATICAL PICTURE LANGUAGE

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February 25, 2020 3:30 pm - 4:30 pm
Jefferson 356
Address: 17 Oxford Street, Cambridge, MA 02138 USA
Speaker:

You Zhou - Harvard University

In this work, we propose a systematical framework to construct Bell inequalities from stabilizers which are maximally violated by general stabilizer states. We show that the constructed Bell inequalities can self-test any stabilizer state which is essentially device-independent, if and only if these stabilizers can uniquely determine the state in a device-dependent manner. This bridges the gap between device-independent and device-dependent verification methods. Our framework can not only inspire more fruitful multipartite Bell inequalities from conventional verification methods, but also pave the way for their practical applications.

Joint work with Qi Zhao, arXiv:2002.01843