  Simulating molecules is believed to be one of the early-stage applications
for quantum computers. Current state-of-the-art quantum computers are limited
in size and coherence, therefore optimizing resources to execute quantum
algorithms is crucial. In this work, we develop the second quantization
representation of the spatial-symmetries which are then transformed to their
qubit operator representation. These qubit operator representations are used to
reduce the number of qubits required for simulating molecules. We present our
results for various molecules and elucidate a formal connection of this work
with a previous technique that analyzed generic $Z_2$ Pauli symmetries.
