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State-Independent Uncertainty Relations and Entanglement Detection in Noisy Systems

State-Independent Uncertainty Relations and Entanglement Detection in Noisy Systems

Quantifying quantum mechanical uncertainty is vital for the increasing number of experiments that reach the uncertainty limited regime. We present a method for computing tight variance uncertainty relations, i.e., the optimal state-independent lower bound for the sum of the variances for any set of two or more measurements. The bounds …