Measurement and suppression of magnetic field noise of trapped ion qubit

Magnetic field noise is an important factor causing quantum decoherence in quantum systems. In order to suppress the decoherence effect, magnetic field noise needs to be properly measured and controlled. Magnetic field noise power spectrum measurement using a single trapped ion based quantum spectrum analyzer is a very effective way. In this paper, the magnetic field noise measurement based on dynamic decoupling technique is analyzed theoretically. Furthermore, we use magnetically insensitive transition to measure the magnetic field noise, which has the potential to measure stronger magnetic field noise and speed up the measurement process. In our experiment, we suppress the magnetic field noise by using active feedback control and passive compensation, where the required passive compensation amplitude is obtained by measuring the magnetic field noise spectrum of a single Mg-25(+) ion. With the magnetic field noise suppressed, the expected contribution of the magnetic field noise to the stability of the Mg-25(+)-Al-27(+) ion optical clock can be decreased from 2.8 x 10(-15)/root tau - to 7.2 x 10(-16)/root tau.