Toffoli gate

The Toffoli, or controlled-controlled-NOT, gate maps

∣ x_{1} x_{2} y ⟩

to

∣ x_{1} x_{2}, y \oplus x_{1} x_{2} ⟩

.

 Ancestors (4)

 Incoming links (13)

AND gate
Coherent syndrome extraction for the three-qubit repetition code
Hamming-weight obstruction to Fredkin-only Toffoli synthesis
Past exam of the laser science and quantum information processing course of the University of Oxford / 2015 / 6 / a / Solution
Past exam of the laser science and quantum information processing course of the University of Oxford / 2017 / 4 / b / Solution
Past exam of the laser science and quantum information processing course of the University of Oxford / 2019 / 5 / a / Solution
Past exam of the laser science and quantum information processing course of the University of Oxford / 2021 / 4 / f / Solution
Past exam of the mathematics course of the University of Cambridge / 2003 / iii / Paper 47 / 3 / Solution
Past exam of the mathematics course of the University of Cambridge / 2010 / iii / Paper 49 / 3 / a / Solution
Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 324 / 4 / b / Solution
Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 324 / 4 / c / Solution
Past exam of the mathematics course of the University of Cambridge / 2025 / ii / Paper 3 / 10C / a / Solution
Reversible circuit

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Toffoli gate by

Ciro Santilli  40 Updated 2025-07-16

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