Propagation of Statistical Noise Through a Two-Qubit Maximum Likelihood Tomography
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 2018
- Accession Number
- AD1049818
Entities
People
- Brian T. Kirby
- Daniel E. Jones
- Mary Grace M. Hager
- Michael Brodsky
Organizations
- United States Army Research Laboratory