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We present verification protocols to gain confidence in the correctperformance of the realization of an arbitrary universal quantum computation.The derivation of the protocols is based on the fact that matchgatecomputations, which are classically efficiently simulable, become universal ifsupplemented with additional resources. We combine tools from weak simulation,randomized compiling, and classical statistics to derive verification circuits.These circuits have the property that (i) they strongly resemble the originalcircuit and (ii) cannot only be classically efficiently simulated in the ideal,i.e. error free, scenario, but also in the realistic situation where errors arepresent. In fact, in one of the protocols we apply exactly the same circuit asin the original computation, however, to a slightly modified input state.

Gaining confidence on the correct realization of arbitrary quantum computations