EQB: Synthesizing Permutative Quantum Gates and Circuits Using Rotation-Based Group Decomposition

• URL: http://arxiv.org/abs/2410.19229v3
• Date: Wed, 11 Dec 2024 21:53:10 GMT
• Title: EQB: Synthesizing Permutative Quantum Gates and Circuits Using Rotation-Based Group Decomposition
• Authors: Ishani Agarwal, Miroslav Saraivanov, Ali Al-Bayaty, Marek Perkowski,
• Abstract summary: The decomposition from the group theory-based methods of Sasao and Saraivanov is extended to design binary quantum cascades. A class of local transformations is also presented to simplify the final canonical cascade circuits.
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• Abstract: The decomposition from the group theory-based methods of Sasao and Saraivanov is extended to design binary quantum cascades, using the quantum rotational gates by the X-axis (CNOT and RX), Y-axis (RY), and Z-axis (controlled-Z) of the Bloch sphere. A class of local transformations is also presented to simplify the final canonical cascade circuits. Our proposed methodology is well suited for quantum layouts, as each single-qubit gate has one target qubit and each double-qubit gate has one control qubit and one target qubit, thereby never creating a graph of triangular connectivity.

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