Entanglement-Free Parameter Estimation of Generalized Pauli Channels

Understand

We propose a parameter estimation protocol for generalized Pauli channels acting on $d$-dimensional Hilbert space.

• The salient features of the proposed method include product probe states and measurements, the number of measurement configurations linear in $d$, minimal post-processing, and the scaling of the mean square error comparable to that of the entanglement-based parameter estimation scheme for generalized Pauli channels.
• We also show that while measuring generalized Pauli operators the errors caused by the Pauli noise can be modeled as measurement errors.
• This makes it possible to utilize the measurement error mitigation framework to mitigate the errors caused by the generalized Pauli channels.