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arXiv · 2609.26591

A New Method For Manipulating Circuits, Application To Quantum Adders

William Schober·Scott Wesley
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Abstract

We use a new technique for manipulating controlled quantum circuits to convert between two distinct types of quantum adders, one based on the Quantum Fourier Transform and the other based on the Ripple-Carry technique from classical reversible logic. This conversion takes the form of an explicit gate-level transpilation. We also present a new quantum adder with a natural interpretation as a kind of Carry-Lookahead adder that uses no ancillas.

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William Schober, Scott Wesley. 2026-09-22. A New Method For Manipulating Circuits, Application To Quantum Adders. https://arxiv.org/abs/2609.26591

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