  The SWAP network offers a promising solution for addressing the limited
connectivity in quantum systems by mapping logical operations to physically
adjacent qubits. In this article, we present a novel decomposition strategy for
the SWAP network, accompanied by additional extensions that leverage an
overcomplete set of native gates. Through comprehensive evaluations, we
demonstrate the effectiveness of our protocol in reducing the gate count and
streamlining the implementation of generalized SWAP networks and Quantum Random
Access Memory (QRAM). Our research tackles the challenges posed by limited
connectivity, leading to improved performance of SWAP networks and simplified
QRAM implementation, thereby contributing to the advancement of quantum
computing technologies.
