  We propose a scheme for enhanced probing of an interaction between two single
fermions based on weak-value amplification. The scheme is applied to measuring
the anisotropic electron-hole exchange interaction strength in semiconductor
quantum dots, where both spin and energy are mapped onto emitted photons. We
study the effect of dephasing of the probe on the weak-value-enhanced
measurement. We find that in the limit of slow noise, weak-value amplification
provides a unique tool for enhanced-precision measurement of few-fermion
systems.
