Self-testing with finite statistics enabling the certification of a quantum network link

Self-testing with finite statistics enabling the certification of a quantum network link

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Self-testing is a method to certify devices from the result of a Bell test.Although examples of noise tolerant self-testing are known, it is not clear how to deal efficiently with a finite number of experimental trials to certify the average quality of a device without assuming that it behaves identically at each run.As a result, existing self-testing results with finite statistics have been limited to guarantee the proper working of a device in just one of all experimental trials, thereby limiting their practical applicability.We mcdsp apb 8 here derive a method to certify through self-testing that a device produces states on average close to a Bell state without assumption on the actual state at each run.Thus the method is free of the I.

I.D.(independent and identically distributed) assumption.Applying this new analysis on the data from a recent loophole-free Bell experiment, we demonstrate the successful distribution of Bell states over 398 meters with an average fidelity of $geq$55.50% at a confidence level of 99%.

Being based on a Bell test free of detection and locality loopholes, our certification is evidently device-independent, that is, it does not rely on trust in the devices or knowledge of how the devices work.This guarantees that our link can be integrated in a quantum network 22 k light ride for performing long-distance quantum communications with security guarantees that are independent of the details of the actual implementation.