Southwest Quantum Information and Technology

Detecting State-Measurement Correlations with SPAM Tomography

Presenting Author: Chris Jackson, University of Oregon
Contributing Author(s): Steven van Enk, University of Oregon

Standard Quantum Tomographies have always assumed perfect knowledge of either the states that are being prepared, the measurements being made, or both. However, one might want to allow some error in both states and measurements. In this case, a very important question arises--what if state-preparations and measurements are correlated? There is one conceptual difficulty that immediately arises--the Born Rule has inherent in it "Blame Gauge" degrees of freedom beyond (but including) unitaries. We define what it means to have State-Measurement correlations and show how you would detect such things with objects we call Partial Determinants. Further, there is a direct analogy between Blame Gauges & Partial Determinants and Non-Abelian Lattice Gauges & Wilson Loops.

Read this article online: http://journals.aps.org/pra/abstract/10.1103/PhysRevA.92.042312

(Session 5 : Thursday from 5:00 - 7:00 pm)