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On Constructing Informationally Complete Covariant Positive Operator-Valued Measures

On Constructing Informationally Complete Covariant Positive Operator-Valued Measures

We study a projective unitary representation of the product G=G˜×G, where G is a locally compact Abelian group and G^ is its dual consisting of characters on G. It is proven that the representation is irreducible, which allows us to define a covariant positive operator-valued measure (covariant POVM) generated by …