Designing a 3D Quantum Circuit Structure Using Interconnected Hexagonal Flowers for Enhanced Redundancy and Decoherence Reduction

Authors- Himadri Maity

Abstract-Quantum computing has made significant advancements, yet challenges such as decoherence, error propagation, and scalability continue to limit its eﬃciency. This paper presents a novel 3D quantum circuit architecture that leverages an interconnected hexagonal structure to enhance fault tolerance and minimize decoherence. The proposed design consists of 314 qubits, including 2 control qubits and 312 target qubits, distributed across 20 hexagons arranged in a hollow cylindrical structure. Each hexagon contains 19 qubits, positioned at both its vertices and internal intersections formed by edge connections. A key feature of this architecture is optimized gate eﬃciency, where each qubit is connected to at least four others using only two active CNOT gates per qubit, significantly reducing gate-induced errors. Additionally, redundancy is implemented across the structure, ensuring that if decoherence occurs, the lost quantum information can be recovered through alternative pathways. Hadamard gates are applied to all qubits to maintain superposition, while Quantum Non-Demolition (QND) measurement and weak measurement techniques are utilized to enhance measurement precision and minimize quantum state disturbance. This research introduces an innovative, fault-tolerant, and highly scalable quantum circuit, paving the way for more robust quantum computing architectures. By addressing fundamental limitations in decoherence and quantum error correction, this design has the potential to surpass existing superconducting quantum computers in both reliability and computational power.

DOI: /10.61463/ijset.vol.13.issue2.194