Solution to the King's problem with observables being not mutually complementary
Minoru Horibe, Akihisa Hayashi, Takaaki Hashimoto
Abstract
We investigate the King's problem of the measurement of operators nk · σ (k=1,2,3) instead of the three Cartesian components σx, σy and σz of the spin operator σ. Here, nk are three-dimensional real unit vectors. We show the condition over three vectors nk to ascertain the result for measurement of any one of these operators.
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