Print Email Facebook Twitter Witnessing entanglement in experiments with correlated noise Title Witnessing entanglement in experiments with correlated noise Author Dirkse, B. (TU Delft QID/Wehner Group; Kavli institute of nanoscience Delft) Pompili, M. (TU Delft QID/Hanson Lab; TU Delft QuTech Advanced Research Centre; Kavli institute of nanoscience Delft) Hanson, R. (TU Delft QID/Hanson Lab; TU Delft QN/Hanson Lab; TU Delft QuTech Advanced Research Centre; Kavli institute of nanoscience Delft) Walter, Michael (Universiteit van Amsterdam) Wehner, S.D.C. (TU Delft Quantum Internet Division; TU Delft Quantum Information and Software; TU Delft QuTech Advanced Research Centre; Kavli institute of nanoscience Delft) Department Quantum Internet Division Date 2020 Abstract The purpose of an entanglement witness experiment is to certify the creation of an entangled state from a finite number of trials. The statistical confidence of such an experiment is typically expressed as the number of observed standard deviations of witness violations. This method implicitly assumes that the noise is well-behaved so that the central limit theorem applies. In this work, we propose two methods to analyze witness experiments where the states can be subject to arbitrarily correlated noise. Our first method is a rejection experiment, in which we certify the creation of entanglement by rejecting the hypothesis that the experiment can only produce separable states. We quantify the statistical confidence by a p-value, which can be interpreted as the likelihood that the observed data is consistent with the hypothesis that only separable states can be produced. Hence a small p-value implies large confidence in the witnessed entanglement. The method applies to general witness experiments and can also be used to witness genuine multipartite entanglement. Our second method is an estimation experiment, in which we estimate and construct confidence intervals for the average witness value. This confidence interval is statistically rigorous in the presence of correlated noise. The method applies to general estimation problems, including fidelity estimation. To account for systematic measurement and random setting generation errors, our model takes into account device imperfections and we show how this affects both methods of statistical analysis. Finally, we illustrate the use of our methods with detailed examples based on a simulation of NV centers. Subject confidence intervalentanglement witnessestimation statisticswitness experiment To reference this document use: http://resolver.tudelft.nl/uuid:3e6bdecc-2b40-4772-aec9-36b602a796ea DOI https://doi.org/10.1088/2058-9565/ab8d88 ISSN 2058-9565 Source Quantum Science and Technology, 5 (3) Part of collection Institutional Repository Document type journal article Rights © 2020 B. Dirkse, M. Pompili, R. Hanson, Michael Walter, S.D.C. Wehner Files PDF Dirkse_2020_Quantum_Sci._ ... 035007.pdf 3.72 MB Close viewer /islandora/object/uuid:3e6bdecc-2b40-4772-aec9-36b602a796ea/datastream/OBJ/view