Margenau–Hill operator valued measures and joint measurability

We employ the Margenau-Hill (MH) correspondence rule for associating classical functions with quantum operators to construct quasi-probability mass functions. Using this we obtain fuzzy one parameter quasi measurement operator (QMO) characterizing incompatibility of non-commuting spin observables qubits, qutrits and 2-qubit systems. Positivity MH-QMO places upper bounds on associated unsharpness parameter. This serves as a sufficient condition observables. assess amount required joint measurability (compatibility) qubit, qutrit show that {\em degree compatibility} pair orthogonal qubit agrees perfectly necessary conditions measurability. Furthermore, analytical specifying range components pairs system. Our results indicate increases Hilbert space dimension.