This paper conducts an evaluation of two IBM quantum systems: Quantum Eagle r3 (Sherbrooke, 127 qubits) and Falcon r8 (Peekskill, 27 qubits), with an emphasis on benchmarking these systems and their differing approaches to generating Greenberger-Horne-Zeilinger (GHZ) states, a specific type of multi-partite entangled quantum state. Our primary objective is to augment quantum fidelity via depth-reduction circuit designs. Sherbrooke s larger qubit capacity presents significant opportunities for implementing more complex algorithms, thus benefiting quantum cryptography [4], measurement-based quantum computing (MBQC) [5] and quantum simulation [6]. We introduce the Tree-based and Centred-tree-based approaches, enabling the exploitation of entangled states. Our strategies demonstrate promising potential for increasing quantum fidelity and broadening quantum applications. This work lays a firm foundation for subsequent advancements in quantum computing, highlighting the potential for heightened efficiency and versatility in future quantum systems.