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2015

Self-testing in parallel

McKague, Matthew

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Understand

Self-testing allows us to determine, through classical interaction only, whether some players in a non-local game share particular quantum states.

Most work on self-testing has concentrated on developing tests for small states like one pair of maximally entangled qubits, or on tests where there is a separate player for each qubit, as in a graph state.
Here we consider the case of testing many maximally entangled pairs of qubits shared between two players.
Previously such a test was shown where testing is sequential, i.e., one pair is tested at a time.

Self-testing in parallel · Around

Built on

Proposed experiment to test local hidden-variable theories
John F. Clauser, Michael A. Horne, Abner Shimony, and Richard A. Holt · 1969
Earlier work this paper cites.
Quantum generalizations of Bell’s inequality
B. S. Cirel’son · 1980
Earlier work this paper cites.
Self-testing graph states
Original
Matthew McKague · 1989
Earlier work this paper cites.
Which states violate Bell’s inequality maximally?
Sandu Popescu and Daniel Rohrlich · 1992
Earlier work this paper cites.

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M McKague, T H Yang, and V Scarani · 2012
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Then

Interactive proofs for BQP via self-tested graph states, September 2013
Original
Matthew McKague · 2013
Later among the works it cites.
Classical command of quantum systems
Ben W. Reichardt, Falk Unger, and Umesh Vazirani · 2013
Later among the works it cites.
Device-independent self-testing of two singlets
Original
Xingyao Wu, Jean-Daniel Bancal, Matthew McKague, and Valerio Scarani · 2015
Closest in time.

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