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Recently, various quantum computing and communication tasks have beenimplemented using IBM's superconductivity-based quantum computers which areavailable on the cloud. Here, we show that the circuits used in most of thoseworks were not optimized and the use of the optimized circuits can considerablyimprove the possibility of observing unique features of quantum mechanics.Specifically, a systematic procedure is used here to obtain optimized circuits(circuits having reduced gate count and number of levels) for a large number ofClifford+T circuits which have already been implemented in the IBM quantumcomputers. Optimized circuits implementable in IBM quantum computers are alsoobtained for a set of reversible benchmark circuits. With a clear example, itis shown that the reduction in circuit costs enhances the fidelity of theoutput state (with respect to the theoretically expected state in the absenceof noise) as lesser number of gates and levels introduce lesser amount oferrors during evolution of the state. Further, considering Mermin inequality asan example, it's shown that the violation of classical limit is enhanced whenwe use an optimized circuit. Thus, the approach adopted here can be used toidentify relatively weaker signature of quantumness and also to establishquantum supremacy in a stronger manner.

Circuit optimization for IBM processors: A way to get higher fidelity and higher values of nonclassicality witnesses