Renan Cabrera, Herschel Rabitz,

*Calculation of the Unitary part of the Bures Measure for N-level Quantum Systems*, Accepted at J. Phy A: Math. Theor.

This paper shows how the Bures measure can be expressed as the product of the measure of even euclidean balls. This means that we now have a simple and easy formula for sampling. The ultimate application will be in Bayesian quantum estimation.

My wikipedia article that explains the basics of the Bures metric is

http://en.wikipedia.org/wiki/Bures_metric

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