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Quantum Circuit Design Gate Engineering Quantum Simulation

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

arXiv
Authors: Ishani Agarwal, Miroslav Saraivanov, Ali Al-Bayaty, Marek Perkowski

Year

2024

Paper ID

37665

Status

Preprint

Abstract Read

~2 min

Abstract Words

90

Citations

N/A

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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  • 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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2410.19229 [2] arXiv https://arxiv.org/abs/2410.19229 [3] Publisher https://arxiv.org/abs/2410.19229

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