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IEEE International Conference on Quantum Computing and Engineering (QCE)

A Game-Inspired Educational Platform for Quantum Boolean Circuit Synthesis via Multi-Edge Swapping

Yao–Hsin Chou, Ming-Ho Chang, Yu-Chi Jiang, Shu–Yu Kuo

Published Aug 30, 2025• 0 citations
Publisher

Abstract

Quantum computing is inherently reversible, with reversible Boolean logic gates forming the basis of most quantum circuits. This paper introduces a game-inspired visualization platform for learning and synthesizing such circuits through multi-dimensional swaps on the hypercube. The proposed system enables users to intuitively explore and construct reversible circuits with fewer gates, supporting both self-guided learning and classroom instruction, enhancing conceptual understanding and synthesis efficiency. A case study illustrates the system's effectiveness, reducing a circuit from 12 gates to just 3 through higherdimensional swapping. Real-time visual feedback, combined with interactive game-like features, fosters user engagement and makes the platform well-suited for quantum computing education and research exploration.

DOI
10.1109/qce65121.2025.20518

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Quantum computing is inherently reversible, with reversible Boolean logic gates forming the basis of most quantum circuits. This paper introduces a game-inspired visualization platform for learning and synthesizing such circuits through multi-dimensional swaps on the hypercube. The proposed system enables users to intuitively explore and construct reversible circuits with fewer gates, supporting both self-guided learning and classroom instruction, enhancing conceptual understanding and synthesis efficiency. A case study illustrates the system's effectiveness, reducing a circuit from 12 gates to just 3 through higherdimensional swapping. Real-time visual feedback, combined with interactive game-like features, fosters user engagement and makes the platform well-suited for quantum computing education and research exploration.
Quantum computation has extraordinary capabilities for solving complicated problems. As quantum computations are reversible by nature, reversible circuits are important for the development of quantum computation techniques. Designing an effective and efficient method for synthesizing reversible circuits to reduce costs and stabilize circuit efficiency is crucial. The traditional synthesis methods of solving reversible circuits focus on the conversion efficiency rather than discussing the properties of the reversible function. Thus, this paper aims to propose a novel synthesis method that directly and efficiently optimizes reversible circuit synthesis with the properties of the reversible circuit. The proposed method converts the reversible function into a hypercube, allowing visual observations of the overall circuit. Two new indicators, the adjacent Hamming distance (AHD) and total cycle distance (TCD), aid in effective decision-making, generating shorter circuits. Furthermore, we use the generalized Toffoli gate set, which without requiring any additional ancilla bits and has applications in error correction and fault tolerance. The experimental results show that our method can find better solutions than traditional methods, significantly reducing the gate count, while the hypercube assists in synthesizing the reversible circuit.
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