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Table 1 The quantum resources for quantum circuits of multiplication over \(\operatorname{GF}(2^{4})\)

From: Quantum reversible circuits for \(\mathrm{GF}(2^{8})\) multiplicative inverse

Schemes

Qubits

Toffoli gates

CNOT gates

Quantum cost

Depth

Fig. 3

12

16

3

83

15

Fig. 6

12

10

37

87

18