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Unitary 2-designs are random unitary matrices which, in contrast to their Haar-distributed counterparts, have been shown to be efficiently realized by quantum circuits. Most notably, unitary 2-designs are known to achieve decoupling, a fundamental primitive of paramount importance in quantum Shannon theory. Here we prove that unitary 2-designs can be implemented approximately using random diagonal-unitaries. ; EU/SIQS ; EU/QFTCMPS ; EU/EXC/201 ; MINECO/FIS2013-40627-P ; CIRIT/2014/SGR 966 ; European Commission ; European Research Council