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The uncertainty principle may be considered as giving rise to the notion ofincompatibility of observables. A pack of quantum measurements that cannot bemeasured simultaneously is said to form a set of incompatible measurements.Every set of incompatible measurements has an advantage over the compatibleones in a quantum state discrimination task where one prepares a state from anensemble and sends it to another party, and the latter tries to detect thestate using available measurements. Comparison between global and local quantumstate discriminations is known to lead to a phenomenon of "nonlocality". Inthis work, we seal a connection between the domains of local quantum statediscrimination and incompatible quantum measurements. We consider the localquantum state discrimination task where a sender prepares a bipartite state andsends the subsystems to two receivers. The receivers try to detect the sentstate using locally incompatible measurements. We analyze the ratio of theprobability of successfully guessing the state using incompatible measurementsand the maximum probability of successfully guessing the state using compatiblemeasurements. We find that this ratio is upper bounded by a simple function ofrobustnesses of incompatibilities of the local measurements. Interestingly,corresponding to every pair of sets of incompatible measurements, there existsat least one local state discrimination task where this bound can be achieved.We argue that the optimal local quantum state discrimination task does notpresent any "nonlocality", where the term is used in the sense of a differencebetween the ratios, of probabilities of successful detection via incompatibleand compatible measurements, in global and local state discriminations. Theresults can be generalized to the regime of multipartite local quantum statedistinguishing tasks.

Incompatibility of local measurements provide advantage in local quantum state discrimination