Propagation of Statistical Noise Through a Two-Qubit Maximum Likelihood Tomography
Technical Report,01 Dec 2017,01 Feb 2018
US Army Research Laboratory Adelphi United States
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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.
- Quantum Theory and Relativity