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Nielsen, M.A., and Chuang, I.L. Quantum Computation and Quantum Information Cambridge University Press (2000)
2000
Earlier work this paper cites.

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Peters, N.,Altepeter, J., Jeffrey, E., Branning, D., and Kwiat, P. Precise Creation, Characterization, and Manipulation of Single Qubits . http:// research.physics.illinois.edu/QI/Photonics/…/QIC-3-503-2003.pdf, September 16, 2003
2003
Cited alongside, same era.
Altepeter, J.B.,James, D.F.V., and Kwiat, P.G. Quantum State Tomography . http://research.physics.illinois.edu/QI/photonics/Tomography/tomography_theory/tomo_chapter_2004.pdf
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2014

On Single Qubit Quantum State Tomography

Bhandari, Ramesh

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In this paper, we derive analytic expressions for the starting (initial) values of the parameters of the T-matrix that is frequently employed in the construction of a theoretical density matrix in a Maximum Likelihood Estimate (MLE) procedure; this optimization procedure is used to fit the experimental data pertaining to single qubit state tomography.

Appropriate starting values are critical in achieving a global minimum in the fitting process.
We also indicate an analytic way of making the experimentally determined density matrix physical without resorting to the MLE process, if optimality in quantum state tomography can be disregarded, since the ultimate goal is optimality in quantum process tomography.