Pauli Matrices: A Triple of Accardi Complementary Observables
英文摘要：
The definition due to Accardi of a pair of complementary observables is adapted to the context of the Lie algebra $ su(2) $. We show that the pair of Pauli matrices $ A,B $ associated to the unit directions $ α$ and $ β$ in $ \mathbb{R}^{3} $ are Accardi complementary if and only if $ α$ and $ β$ are orthogonal if and only if $ A $ and $ B $ are orthogonal. In particular, any pair of the standard triple of Pauli matrices is complementary.
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