The Realization Of Quantum NOON State And Controlled Phase Gate

Quantum entanglement and universal quantum logic gates are the most basic content in quantum computation.In the past decades,in order to realize quantum entanglement and universal quantum logic gates,various quantum systems have been proposed,and the fidelity is getting higher and higher.Especially in superconducting systems in recent years,with the strong coupling between superconducting systems,the schemes of quantum entanglement and universal quantum logic gates are more and more novel,and many meaningful schemes are proposed.However,in recent years,since the quality-factor of the acoustic wave resonators becomes much higher,it has attracted much more attention.In this work,we achieve the NOON state and controlled-phase gate in the system composed of two acoustic wave resonators coupled to an ensemble of nitrogen-vacancy-centers(NVE).In the construction process,we use the all-resonance operation.Due to the long coherence time and good manipulability of the NV-center,we are able to obtain a much higher fidelity.For constructing the NOON state,we first complete for building the MOON state with(2N+2M+3)steps,then when M=N,that is,the number of phonons is the same,the NOON state is completed.At last,we numerically simulate the NOON state with N=1,2,and 3,and we discuss the fidelity influenced by the decay rate of the whole system.For constructing the controlled-phase gate,we achieve the gate with seven steps and then give the numerical simulation,and the result shows that the gate has a much higher fidelity,we finally discuss the fidelity influenced by the decay rate.