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Why three? A two-level system with four mutually unbiased questions

Hance, Jonte R.
arXiv (All) · Papers
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mathematical-physicsquantum-physics
Two sharp yes/no questions are mutually unbiased if and only if their involutions anticommute. A set of unbiased questions is therefore a Clifford algebra, whose maximal size is odd, meaning four anticommuting questions typically imply a fifth: the two-level systems of real, complex and quaternionic
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