  Quantum computers hold immense potential in the field of chemistry, ushering
new frontiers to solve complex many body problems that are beyond the reach of
classical computers. However, noise in the current quantum hardware limits
their applicability to large chemical systems. This work encompasses the
development of a projective formalism that aims to compute ground-state
energies of molecular systems accurately using Noisy Intermediate Scale Quantum
(NISQ) hardware in a resource efficient manner. Our approach is reliant upon
the formulation of a bipartitely decoupled parameterized ansatz within the
disentangled unitary coupled cluster (dUCC) framework based on the principles
of synergetics. Such decoupling emulates the total parameter optimization in a
lower dimensional manifold, while a mutual synergistic relationship among the
parameters is exploited to ensure characteristic accuracy. Without any
pre-circuit measurements, our method leads to a highly compact fixed-depth
ansatz with shallower circuits and fewer expectation value evaluations. Through
analytical and numerical demonstrations, we demonstrate the method's superior
performance under noise while concurrently ensuring requisite accuracy in
future fault-tolerant systems. This approach enables rapid exploration of
emerging chemical spaces by efficient utilization of near-term quantum hardware
resources.
