Sum-of-squares compilation of matrix-model dynamics for NISQ and fault-tolerant hardware

Ayanendu Dutta, Nabanita Sarkar

The SU$(N)$ matrix-model potential $V=-\frac{g^2}{4}{\sum }_{I,J}Tr[X_I,X_J{]}^2$, the interaction of the BFSS/BMN family, whose thermal large-$N$ states are dual to black holes, is di…