Comparison of some methods of quantum state estimation

Details Comparison of some methods of quantum state estimation Comparison of some methods of quantum state estimation

2005-11-29

arxiv.org/abs/quant-ph/0511263v1

Physics

Quantum Physics

13 pages, 19 figures, to be published in the proceedings of the "26th Conference: QP and IDA" - Levico (Trento), February, 200

Scientific paper

In the paper the Bayesian and the least squares methods of quantum state tomography are compared for a single qubit. The quality of the estimates are compared by computer simulation when the true state is either mixed or pure. The fidelity and the Hilbert-Schmidt distance are used to quantify the error. It was found that in the regime of low measurement number the Bayesian method outperforms the least squares estimation. Both methods are quite sensitive to the degree of mixedness of the state to be estimated, that is, their performance can be quite bad near pure states.

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