Optimal estimation of parameters for Schwinger effect

Abstract

We study the optimal estimation of quantum parameters, in the framework of local quantum estimation theory, for excitations of Dirac field under a strong electric field. The study is carried out by employing the key concept of quantum metrology–quantum Fisher information. We find that the quality of estimation is very sensitive to characteristic parameters of the Dirac field. By suitably designing the characteristic parameters, such as the strength, momentum, mass, charge of the Dirac particles, high-precision estimation of parameters may be realized. Both the constant and pulsed electric field Schwinger effects are considered.