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Design and Optimization of Complex Quantum Circuits Targeting near-Term Quantum Processors Using Custom Algorithms and Qiskit Transpiler

Students & Supervisors

Student Authors
Kazi Redwan
Bachelor of Science in Computer Science & Engineering, FST
Mustakim Ahmed
Bachelor of Science in Computer Science & Engineering, FST
Md. Faruk Abdullah Al Sohan
Bachelor of Science in Computer Science & Engineering, FST
Sajedul Islam
Bachelor of Science in Computer Science & Engineering, FST
Supervisors
Abu Shufian
Lecturer, Faculty, FE

Abstract

Quantum computing faces challenges such as noise, short coherence time, and limited qubit connectivity. These issues become more severe as quantum circuits grow in complexity, particularly due to increasing circuit depth. This research proposes an optimization framework aimed at reducing both depth and gate count in quantum circuits, specifically tailored for Noisy Intermediate-Scale Quantum (NISQ) devices. The proposed method integrates unitary merging of single-qubit gates, CNOT cancellation, gate commuting, and rotation gate rewriting strategies. Consecutive gates acting on the same qubit, such as Rx(θ1)·Rx(θ2) are algebraically combined into a single rotation, while redundant pairs of CNOT gates are removed using gate identity relations. The technique is implemented in Qiskit and evaluated on five diverse circuits, including complex, random, and multi-qubit configurations. Experimental results indicate an average depth reduction of 33.33% and a gate count reduction of 32.14%, along with runtime improvements of up to 25%. For example, a circuit with an initial depth of 7 and 11 gates was optimized to a depth of 2 with only 4 gates. All optimized circuits maintain functional correctness with fidelity F ≥ 0.99. High-resolution circuit diagrams visually illustrate the improvements before and after optimization. Additionally, global phase shifts such as e^{iπ/4} are preserved or analytically characterized where applicable. This work strengthens the practicality of quantum computations on near-term hardware and creates opportunities for future AI-driven quantum optimization techniques.

Keywords

Quantum Computing Circuit Optimization Gate Merging CNOT Cancellation Near-Term Quantum Processors

Publication Details

  • Type of Publication:
  • Conference Name: IEEE Region 10 Conference 2025 (TENCON 2025)
  • Date of Conference: 27/10/2025 - 27/10/2025
  • Venue: Sabah International Convention Centre (SICC), Kota Kinabalu, Sabah, MALAYSIA
  • Organizer: IEEE Malaysia Section