Extended Techniques For Feedback Control Of A Single Qubit

A lot of difficulities have to be faced to protect quantum states especially for nonorthogonal states when laced with noise. Recent research shows that we can deal with this problem by applying weak measurement into this case which needs us to balance the information we gained from the measurement and the disturbance we caused during this procedure. However, the previous schemes are almost dealing with some specific quantum states. So, in this paper,by applying different schemes involving weak measurements, we expend the theory of protection to make it right for more common states, so we can use this scheme in a larger field. And then we numerically optimize the parameters we use in this process to make sure the best performance is made. In the end, we compare the performance of our scheme and the ones ofprevious works, we discusse how our scheme is better and we show them clearly.In this paper, we work on a single quibit with two nonorthogonal states which is a complex one and is different from the one used in previous works. And then we pass the qubit throgh noise before we do our main job which is applying feedback control measurement. In this part, we use a different set of measurements with an additional pramater involved. After correction, we got the fedility between the original state and the state after all the procedure which is the parameter helps us decide the performance ofthe schemes. After comparing our scheme with others, we can make the conclusion that we do make some process in this field. At last, the main procedure of our scheme was verified by previous works, so we do believe that the contents in our paper can be hopefully proven in the very near future.