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 $d \geq 5$ 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.

How many orthonormal bases are needed to distinguish all pure quantum states?

SCHULTZ, JUSSI ILMARI;TOIGO, ALESSANDRO
2015

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 $d \geq 5$ 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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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/965861
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