  We conducted quantum simulations of strongly correlated systems using the
quantum flow (QFlow) approach, which enables sampling large sub-spaces of the
Hilbert space through coupled eigenvalue problems in reduced dimensionality
active spaces. Our QFlow algorithms significantly reduce circuit complexity and
pave the way for scalable and constant-circuit-depth quantum computing. Our
simulations show that QFlow can optimize the collective number of wave function
parameters without increasing the required qubits using active spaces having an
order of magnitude fewer number of parameters.
