This article provides a review of the literature on the development of quantum filtering in the fermion field. Firstly we highlight the concept of quantum filtering in its relationship with classical filtering. We highlight some key developments in quantum filtering theory and its main deviations from classical filtering theory. Although most of the work developed is mainly in the bosonic field, fermionic field filtration is also of considerable technological importance since the electron used in the current development of the solid-state quantum mesoscopic system is one of the fermion particles . We summarize some available developments in quantum filtering in the fermion domain. We then mention several interesting restrictions and limitations of the existing results that remain to be considered as research problems. In the fields of control and communications engineering, filtering problems arise when the measurement of the system is not adequate due to the appearance of noise or other disturbances. A filtration technique is used to obtain more valuable information from a non-ideal measurement. It can be formulated in the sense of a Bayesian projection of a given set of measurement history, called filtration, or in any other sense of optimality, such as the H-infinity norm. One of the most well-known and successfully applied filters in the field of practical engineering is the Kalman filter. filter, which appeared in the early 1960s. The Kalman filter, based essentially on a simple approach according to which the noise has Gaussian characteristics, the measurement and the noise inherent in the system are not correlated and the system is in linear dynamics. A more general formulation of filtering problems was proposed in the late 1960s, to name a few, Strantonovic, Zakai, Kushner, and Mortensen. These filtration formulations...... middle of paper ......ed Boson. Conversely, if indistinguishable particles cannot occupy the same configuration, they will obey the Fermi-Dirac statistic, called fermion. The photon is one of the best-known types of bosons, while the electron is one of the fermions. From the point of view of large-scale technical development, open quantum systems interacting with the fermionic field are a very important development. A solid-state semiconductor can be fabricated to form quantum dots a few nanometers in size to store a single electron. Arrangements of such quantum dots can be thought of as the atomic size of a computer. In the next section, we will review several key developments using the mathematical notion in quantum filtering. We first discuss the basic mathematical concept of quantum probability, then we will extend the classical concepts of filtering to quantum filtering..