PreprintCC BY 4.0arXiv
A New Method For Manipulating Circuits, Application To Quantum Adders
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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BibTeX
@misc{schober2026method,
title = {{A New Method For Manipulating Circuits, Application To Quantum Adders}},
author = {William Schober and Scott Wesley},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.26591},
eprint = {2609.26591},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.26591},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A New Method For Manipulating Circuits, Application To Quantum Adders
AU - William Schober
AU - Scott Wesley
PY - 2026
DA - 2026/10/04
PB - arXiv
DO - 10.48550/arxiv.2609.26591
UR - https://arxiv.org/abs/2609.26591
AB - 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.
ER -