  In recent years, Noisy Intermediate Scale Quantum (NISQ) computers have been
widely used as a test bed for quantum dynamics. This work provides a new
hardware-agnostic framework for modelling the Markovian noise and dynamics of
quantum systems in benchmark procedures used to evaluate device performance. As
an accessible example, the application and performance of this framework is
demonstrated on IBM Quantum computers. This framework serves to extract
multiple calibration parameters simultaneously through a simplified process
which is more reliable than previously studied calibration experiments and
tomographic procedures. Additionally, this method allows for real-time
calibration of several hardware parameters of a quantum computer within a
comprehensive procedure, providing quantitative insight into the performance of
each device to be accounted for in future quantum circuits. The framework
proposed here has the additional benefit of highlighting the consistency among
qubit pairs when extracting parameters, which leads to a less computationally
expensive calibration process than evaluating the entire device at once.
