A New Method For Manipulating Circuits, Application To Quantum Adders

William Schober, Scott Wesley · 2026 · arXiv 预印本

| 编号 QQFT002 | 主题 量子傅里叶变换 | 链接 arXiv:2609.26591 |

摘要

摘要保留原文（英文）

摘要取自 arXiv / 出版方元数据，未作翻译，以保证与原文一致。

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.

读法提示

摘要陈述的是两类加法器之间的可转换性，不是任何一类比另一类更省。转换是显式门级转译，因此它是一条等价性结论：把 QFT 加法器翻译成进位加法器后，两者的门计数天然相同——这也正是本站合成与成本一词条区分”降低 T 数”与”重排门”的判据。

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