Realization of controlled Remote implementation of operation

Abstract

Controlled remote implementation of operation (CRIO) enables to implement operations on a remote state with strong security. We transmit implementations by entangling qubits in photon-cavity-atom system. The photons transferring in fibre and the atoms embedded in optical cavity construct CZ gates. The gates transfer implementations between participants with the permission of controller. We also construct nonadiabatic holonomic controlled gate between alkali metal atoms. Decoherence and dissipation decrease the fidelity of the implementation operators. We apply anti-blockade effect and dynamical scheme to improve the robustness of the gate.