The speed of computations is investigated by means of the orthogonality speed for a charged qubit interacting with a single cavity field prepared initially in a Fock state or Binomial state. We observe that the rate of the computational speed is related to the number of photons inside the cavity. Moreover, we show that the qubit-field coupling plays an opposite role, where the speed of computations is decreased as the coupling is increased. We suggest using the number of photons in the field as a control parameter to improve the speed of computations. pacs74.70.-b, 03.65.Ta, 03.65.Yz, 03.67.-a, 42.50.-p e 2 2(Cg +C J ) dominate over the Josephson coupling energy E J , and concentrate on the value V g = e Cg and weak

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The orthogonality time is examined for different initial states settings interacting locally with different types of spin interaction: XX, Ising and anisotropic models. It is shown that the number of orthogonality increases, and consequently the time of orthogonality decreases as the environment qubits increase. The shortest time of orthogonality is displayed for the XX chain model, while the largest time is shown for the Ising model. The external field increases the numbers of orthogonality, while Dzyaloshinsky–Moriya interaction decreases the time of orthogonality. The initial state settings together with the external field has a significant effect on decreasing/increasing the time of orthogonality.

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