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It is shown that the joint measurements of some physical variablescorresponding to commuting operators performed on pre- and post-selectedquantum systems invariably disturb each other. The significance of this resultfor recent proofs of the impossibility of realistic Lorentz invariantinterpretation of quantum theory (without assumption of locality) is discussed.Comment: 15 page

Lorentz-invariant ‘‘elements of reality’’ and the joint measurability of commuting observables