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In this work we study five Grovers algorithm modifications, where eachiteration is constructed by two generalized Householder reflections, againstinaccuracies in the phases. By using semi-empirical methods, we investigatevarious characteristics of the dependence between the probability to findsolution and the phase errors. The first of them is the robustness of theprobability to errors in the phase. The second one is how quickly theprobability falls beyond the stability interval. And finally, the averagesuccess rate of the algorithm when the parameters are in the range of thehighly robust interval. Two of the modifications require usage of the sameGrover operator each iteration and in the other three it differs. Thosesemi-empirical methods give us the, tool to make prediction of the quantumalgorithm modifications overall behavior and compare them for even largerregister size

Robustness of different modifications of Grovers algorithm based on generalized Householder reflections with different phases