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In this paper, we focus on alternate forms of the T-matrix used in theMaximum Likelihood Estimate (MLE) procedure for fitting the experimental datacollected in quantum state tomography experiments. In particular, we analyzethe single quantum state tomography case, deriving in the process three newvalid alternate forms for achieving optimality. These alternative forms thenserve as a consistency check, thus enhancing the robustness of the MLE fittingprocess. One form, in particular, serves as a useful compliment to the standardform normally employed. We subsequently provide a generalization of these formsto the case of multiqubit state tomography.

Alternate Forms of the T-Matrix in Quantum State Tomography