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Quantifying the Incompatibility of Quantum Measurements Relative to a Basis

Quantifying the Incompatibility of Quantum Measurements Relative to a Basis

Motivated by quantum resource theories, we introduce a notion of incompatibility for quantum measurements relative to a reference basis. The notion arises by considering states diagonal in that basis and investigating whether probability distributions associated with different quantum measurements can be converted into one another by probabilistic postprocessing. The induced …