How many orthonormal bases are needed to distinguish all pure quantum states?
arXiv:1504.01590 · doi:10.1140/epjd/e2015-60230-5
Abstract
We collect some recent results that together provide an almost complete answer to the question stated in the title. For the dimension d=2 the answer is three. For the dimensions d=3 and d>4 the answer is four. For the dimension d=4 the answer is either three or four. Curiously, the exact number in d=4 seems to be an open problem.
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