John D. Cook 4/7/2026

Toffoli gates are all you need

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This article discusses Toffoli gates and their role in reversible computing, starting with Landauer's principle on energy limits for erasing bits. It explains how reversible circuits can be more energy-efficient despite not reaching theoretical limits. The Toffoli gate is defined as a reversible three-bit gate that flips the third bit if the first two are ones. The article demonstrates how any Boolean function can be computed using only Toffoli gates by constructing a NAND gate from them, highlighting the trade-off of needing extra input and output bits. This is relevant to IT/technology topics like computer architecture, logic circuits, and energy-efficient computing.

Toffoli gates are all you need

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