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arXiv · 2408.06561

A Feasible Design of Elementary Quantum Arithmetic Logic Units for Near-Term Quantum Computers

Junxu Li
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Abstract

Quantum arithmetic logic units (QALUs) constitute a fundamental component of quantum computing. However, the implementation of QALUs on near-term quantum computers remains a substantial challenge, largely due to the limited connectivity of qubits. In this paper, we propose feasible QALUs, including quantum binary adders, subtractors, multipliers, and dividers, which are designed for near-term quantum computers with qubits arranged in two-dimensional arrays. Additionally, we introduce a feasible quantum arithmetic operation to compute the two's complement representation of signed integers. The proposed QALUs utilize only Pauli-X gates, CNOT gates, and $C\sqrt{X}$ (CSX) gates, and all two-qubit gates are operated between nearest neighbor qubits. Our work demonstrates a viable implementation of QALUs on near-term quantum computers, advancing towards scalable and resource-efficient quantum arithmetic operations.

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Junxu Li. 2024-08-13. A Feasible Design of Elementary Quantum Arithmetic Logic Units for Near-Term Quantum Computers. https://arxiv.org/abs/2408.06561

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