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1.17.2 Toffoli Gate

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Figure 1.10 shows the equivalent quantum realization of three input Toffoli gate. The cost of the Toffoli gate is five 2 2 gates, or simply 5. In Figure 1.10, is a square‐root of NOT gate and is its hermitian. Thus, creates a unitary matrix of NOT gate and = I (an identity matrix, describing just a quantum wire).


Figure 1.9 Quantum cost calculation of Feynman gate.


Figure 1.10 Quantum circuit of Toffoli gate.


Figure 1.11 Quantum circuit of Fredkin gate.


Figure 1.12 Quantum circuit of a Peres gate.

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