Related Experiment Videos
Ziv-Zakai error bounds for quantum parameter estimation
1Department of Electrical and Computer Engineering, National University of Singapore, 4 Engineering Drive 3, Singapore 117583. eletmk@nus.edu.sg
Abstract:
I propose quantum versions of the Ziv-Zakai bounds as alternatives to the widely used quantum Cramér-Rao bounds for quantum parameter estimation. From a simple form of the proposed bounds, I derive both a Heisenberg error limit that scales with the average energy and a limit similar to the quantum Cramér-Rao bound that scales with the energy variance. These results are further illustrated by applying the bound to a few examples of optical phase estimation, which show that a quantum Ziv-Zakai bound can be much higher and thus tighter than a quantum Cramér-Rao bound for states with highly non-gaussian photon-number statistics in certain regimes and also stay close to the latter where the latter is expected to be tight.
Related Concept Videos
Propagation of Uncertainty from Random Error
Propagation of Uncertainty from Systematic Error
Estimation of the Physical Quantities
Chebyshev's Theorem to Interpret Standard Deviation
Uncertainty: Confidence Intervals
One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation
On...