a 60+ qubit quantum processor [14][15][16] should be sufficient to explore various quantum statistical properties of such phases of matter without resorting to the usual approximations [17][18][19]. This should allow us to explore their properties beyond the understanding conventional techniques provide [20][21][22].However, using these powerful noisy intermediate-scale quantum (NISQ) processors brings several serious complications associated with their use -beyond those associated with noise and imperfections. It is well-known that the amount of the information that can be extracted from quantum states is limited, and although we can reconstruct the quantum state or process through tomographic techniques [23], the number of measurements usually grows exponentially with the processor size [24,25]. This could make the entire effort for many-body dynamics simulation on a quantum information processor inefficient and ineffective. To overcome these limitations and