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A joint measurement of two observables is a {\it simultaneous} measurement ofboth quantities upon the {\it same} quantum system. When two quantum-mechanicalobservables do not commute, then a joint measurement of these observablescannot be accomplished by projective measurements alone. In this paper we shalldiscuss the use of quantum cloning to perform a joint measurement of twocomponents of spin associated with a qubit system. We introduce a cloningscheme which is optimal with respect to this task. This cloning scheme may bethought to work by cloning two components of spin onto its outputs. We comparethe proposed cloning machine to existing cloners.Comment: 7 pages, 2 figures, submitted to PR

Cloning and joint measurements of incompatible components of spin