About a criterion of successfully executing a circuit in the NISQ era: what wd ≪ 1/ eff really means

To evaluate classical software, a huge variety of software metrics exists. Similar metrics of quantum algorithms especially in context of near-term quantum computers are only rudimentary investigated. Hereby, metrics are particularly important to be able to estimate what is already possible with current quantum computers. Thus, in this paper, we discuss existing quantum performance metrics and focus on a metric that determines whether a quantum circuit is successfully executable on a given gate-based quantum computer. Thereby, we give an overview of various factors that can affect an execution and present our plan to concretize and apply the metric.