  This paper introduces a novel general-purpose algorithm for Pauli
decomposition that employs matrix slicing and addition rather than expensive
matrix multiplication, significantly accelerating the decomposition of
multi-qubit matrices. In a detailed complexity analysis, we show that the
algorithm admits the best known worst-case scaling and more favorable runtimes
for many practical examples. Numerical experiments are provided to validate the
asymptotic speed-up already for small instance sizes, underscoring the
algorithm's potential significance in the realm of quantum computing and
quantum chemistry simulations.
