Guessing Quantum Ensemble Using Laplace Principle

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For a mixed quantum state with density matrix $ρ$ there are infinitely many ensembles of pure quantum states, which average to $ρ$. Starting from Laplace principle of insufficient reason (not to give \emph{a priori} preference to any particular state), we derive a `natural' distribution of pure states averaging to $ρ$, which is `more spread' than all the others.
11 pages, LaTeX. Talk presented at Quantum Structures - 2008 (July 6-12, 2008, Sopot, Poland)

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