Table 1 The cost of CNOT on a hybrid two-qubit system (spin and photon or photon and spin) for each elementary ququart logic gate.

From: Photonic ququart logic assisted by the cavity-QED system

Ququart gates

Z4(θ)

T11)

T22)

T32)

Hybrid CNOT cost

4

2

6

2

Controlled ququart gates

C[Z4(θ)]

C[T11)]

C[T22)]

C[T33)]

Hybrid CNOT cost

8

4

8

4