Quantum simulations on current noisy intermediate-scale quantum (NISQ) hardware are hindered by their error-prone nature, necessitating efficient error mitigation methods. Researchers have introduced a novel mitigation scheme applicable to arbitrary quantum simulations of time-dependent Hamiltonian dynamics on NISQ devices1. This scheme leverages a polynomial subset of extended qubit Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy, providing a means to mitigate errors in quantum simulations. The proposed method has been demonstrated in the context of chiral dynamics in the Schwinger model, showcasing its potential for improving the accuracy of quantum simulations. By developing such error mitigation techniques, researchers can enhance the reliability of quantum simulations, ultimately paving the way for more robust quantum computing applications. This advancement matters to practitioners as it brings quantum computing one step closer to realizing its full potential, with significant implications for fields like cryptography and computation.