Propagation of Statistical Noise Through a Two-Qubit Maximum Likelihood Tomography

Report No. ARL-TR-8340
Authors: Mary Grace M Hager, Daniel E Jones, Brian T Kirby, and Michael Brodsky
Date/Pages: April 2018; 20 pages
Abstract: Quantum state tomography allows for the characterization of unknown quantum states through a series of repeated measurements in different bases of an ensemble of identical states; however, statistical errors prohibit the exact determination of measurement probabilities. In this work, we analyze these statistical counting errors by propagating statistical noise through our tomography system. We perform quantum state tomography measurements for 5 distinct experimental scenarios and digitally add uncorrelated noise to these measurement results. We determine how statistical noise translates into errors in common entanglement measures by comparing the reconstructed density matrices with and without this added noise. Finally, we find minimal statistical variation in the density matrices, concurrences, and purities of the reconstructed states and, thus, conclude that statistical noise is not the dominant cause of variation in performance of our quantum networking testbed.
Distribution: Approved for public release
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Last Update / Reviewed: April 1, 2018