Certifying the purity of quantum states with temporal correlations Article Swipe

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Cornelia Spee ·

YOU? · · 2020 · Open Access · · DOI: https://doi.org/10.1103/physreva.102.012420 · OA: W2972508397

Correlations obtained from sequences of measurements have been employed to distinguish among different physical theories or to witness the dimension of a system. In this work we show that they can also be used to establish semi-device independent lower bounds on the purity of the initial quantum state or even on one of the post-measurement states. For single systems this provides information on the quality of the preparation procedures of pure states or the implementation of measurements with anticipated pure post-measurement states. For joint systems one can combine our bound with results from entanglement theory to infer an upper bound on the concurrence based on the temporal correlations observed on a subsystem.