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Benchmarking with confidence and testing non-markovianity

Thursday May 1, 2014
3:30 pm


 Presenter:  Joel Wallman, University of Waterloo
 Series:  CQuIC Seminars
 Abstract:  Randomized benchmarking is a promising tool for characterizing the noise in experimental implementations of quantum systems. In this talk I will prove that the estimates produced by randomized benchmarking (both standard and interleaved) are extremely precise by showing that the variance of the underlying distribution is small. We also show that randomized benchmarking can be used to reliably characterize the time-dependent average gate fidelity and diamond distance for Markovian noise (which characterize the average and worst-case error rates, respectively), provided the noise is sufficiently close to gate-independent at each time step. Moreover, we identify a necessary property for time-dependent noise that is violated by some sources of non-Markovian noise, providing a test for non-Markovian noise. Finally, we identify some necessary choices of parameters for randomized benchmarking experiments in order to avoid systematic errors in the fitting process.

 Host:  Chris Ferrie
 Location:  PAIS-2540, PAIS

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